How to Find GCF of 652/28, 420/895?

GCF of 652/28, 420/895

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 652/28, 420/895 i.e 4/25060 easily. The following is the detailed procedure to determine the greatest common factor of fractions 652/28, 420/895.

Enter two or more fractions separated by "commas"

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

What is the GCF of 652/28,420/895?

Given fractions are 652/28,420/895

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 652/28,420/895, numerators are 652,420

Denominators are 28,895

The GCF of 652,420 is 4 .

LCM of 28,895 is 25060.

The greatest common factor of 652/28,420/895 = [GCF of 652,420]/[LCM of 28,895]= 4/25060

Therefore, the GCF of 652/28,420/895 is 4/25060.

Greatest Common Factor of 652,420

To find the highest common factor of 652,420, 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 420 are 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

The HCF of 652,420 is 4.

Lets's calculate GCF of 652,420

Greatest Common Factor (GCF) of 652,420 By Common Division

2	652, 420
2	326, 210
	163, 105

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

Greatest Common Factor of 652,420 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 420

1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420

Greatest Common Factor

We found the factors 652,420 . The biggest common factor number is the GCF number.
So the greatest common factor 652,420 is 4.

Lets's calculate LCM of 28,895

Lowest Common Multiple of 28,895 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 25060

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/25060

Therefore, the GCF of Fractions 652/28,420/895 is 4/25060

Least Common Multiple of 28,895 with GCF Formula

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

We need to calculate greatest common factor of 28,895 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,895) = 1

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

GCF(28,895) x common factors =1 x 1 = 1

LCM(28,895) = ( 28 × 895 ) / 1

LCM(28,895) = 25060 / 1

LCM(28,895) = 25060

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 652/28, 420/895

1. What is the HCF of 652,420?

The HCF of 652,420 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 652/28, 420/895?

Answer: GCF of Numerators as per given numbers 652/28, 420/895 is

GCF of Numerators i.e. for 652,420 is 4

LCM of denominators i.e. for 28,895 is 25060.

Thus, GCF of Fractions is 4/25060.Finally, GCF of Fractions for 652/28, 420/895 is 4/25060.