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 647/828, 5318/5972

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 647/828, 5318/5972 i.e 1/1236204 easily. The following is the detailed procedure to determine the greatest common factor of fractions 647/828, 5318/5972.

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 647/828,5318/5972?

Given fractions are 647/828,5318/5972

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 647/828,5318/5972, numerators are 647,5318

Denominators are 828,5972

The GCF of 647,5318 is 1 .

LCM of 828,5972 is 1236204.

The greatest common factor of 647/828,5318/5972 = [GCF of 647,5318]/[LCM of 828,5972]= 1/1236204

Therefore, the GCF of 647/828,5318/5972 is 1/1236204.

Greatest Common Factor of 647,5318

To find the highest common factor of 647,5318, we have to find the factors of both numbers and list the highest common factor.

The factors of 647 are 1, 647

The factors of 5318 are 1, 2, 2659, 5318

The HCF of 647,5318 is 1.

Lets's calculate GCF of 647,5318

Greatest Common Factor (GCF) of 647,5318 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 647,5318 By Matching Biggest Common Factor Method

Greatest Common Factor of 647,5318 By Matching Biggest Common Factor Method

Now, list down the factors of 647

:

1,647

Now, list down the factors of 5318

:

1,2,2659,5318

Greatest Common Factor

We found the factors 647,5318 . The biggest common factor number is the GCF number.
So the greatest common factor 647,5318 is 1.

Lets's calculate LCM of 828,5972

Lowest Common Multiple of 828,5972 using Common Division

2 828, 5972
2 414, 2986
207, 1493

∴ So the LCM of the given numbers is 2 x 2 x 207 x 1493 = 1236204

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1236204

Therefore, the GCF of Fractions 647/828,5318/5972 is 1/1236204

Least Common Multiple of 828,5972 with GCF Formula

Least Common Multiple of 828,5972 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 828,5972 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(828,5972) = 4

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

GCF(828,5972) x common factors =4 x 1 = 4

LCM(828,5972) = ( 828 × 5972 ) / 4

LCM(828,5972) = 4944816 / 4

LCM(828,5972) = 1236204


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 647/828, 5318/5972

1. What is the HCF of 647,5318?

The HCF of 647,5318 is 1

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 647/828, 5318/5972?

Answer: GCF of Numerators as per given numbers 647/828, 5318/5972 is

GCF of Numerators i.e. for 647,5318 is 1

LCM of denominators i.e. for 828,5972 is 1236204.

Thus, GCF of Fractions is 1/1236204.Finally, GCF of Fractions for 647/828, 5318/5972 is 1/1236204.