LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 652/893, 616/811

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 652/893, 616/811 i.e 4/724223 easily. The following is the detailed procedure to determine the greatest common factor of fractions 652/893, 616/811.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 652/893,616/811?

Given fractions are 652/893,616/811

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 652/893,616/811, numerators are 652,616

Denominators are 893,811

The GCF of 652,616 is 4 .

LCM of 893,811 is 724223.

The greatest common factor of 652/893,616/811 = [GCF of 652,616]/[LCM of 893,811]= 4/724223

Therefore, the GCF of 652/893,616/811 is 4/724223.

Greatest Common Factor of 652,616

To find the highest common factor of 652,616, we have to find the factors of both numbers and list the highest common factor.

The factors of 652 are 1, 2, 4, 163, 326, 652

The factors of 616 are 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

The HCF of 652,616 is 4.

Lets's calculate GCF of 652,616

Greatest Common Factor (GCF) of 652,616 By Common Division

2 652, 616
2 326, 308
163, 154

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 652,616 By Matching Biggest Common Factor Method

Greatest Common Factor of 652,616 By Matching Biggest Common Factor Method

Now, list down the factors of 652

:

1,2,4,163,326,652

Now, list down the factors of 616

:

1,2,4,7,8,11,14,22,28,44,56,77,88,154,308,616

Greatest Common Factor

We found the factors 652,616 . The biggest common factor number is the GCF number.
So the greatest common factor 652,616 is 4.

Lets's calculate LCM of 893,811

Lowest Common Multiple of 893,811 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 724223

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/724223

Therefore, the GCF of Fractions 652/893,616/811 is 4/724223

Least Common Multiple of 893,811 with GCF Formula

Least Common Multiple of 893,811 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 893,811 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(893,811) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(893,811) x common factors =1 x 1 = 1

LCM(893,811) = ( 893 × 811 ) / 1

LCM(893,811) = 724223 / 1

LCM(893,811) = 724223


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 652/893, 616/811

1. What is the HCF of 652,616?

The HCF of 652,616 is 4

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 652/893, 616/811?

Answer: GCF of Numerators as per given numbers 652/893, 616/811 is

GCF of Numerators i.e. for 652,616 is 4

LCM of denominators i.e. for 893,811 is 724223.

Thus, GCF of Fractions is 4/724223.Finally, GCF of Fractions for 652/893, 616/811 is 4/724223.