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GCF of 868/75, 428/712

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 868/75, 428/712 i.e 4/53400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 868/75, 428/712.

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 868/75,428/712?

Given fractions are 868/75,428/712

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 868/75,428/712, numerators are 868,428

Denominators are 75,712

The GCF of 868,428 is 4 .

LCM of 75,712 is 53400.

The greatest common factor of 868/75,428/712 = [GCF of 868,428]/[LCM of 75,712]= 4/53400

Therefore, the GCF of 868/75,428/712 is 4/53400.

Greatest Common Factor of 868,428

To find the highest common factor of 868,428, we have to find the factors of both numbers and list the highest common factor.

The factors of 868 are 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

The factors of 428 are 1, 2, 4, 107, 214, 428

The HCF of 868,428 is 4.

Lets's calculate GCF of 868,428

Greatest Common Factor (GCF) of 868,428 By Common Division

2 868, 428
2 434, 214
217, 107

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

Greatest Common Factor of 868,428 By Matching Biggest Common Factor Method

Greatest Common Factor of 868,428 By Matching Biggest Common Factor Method

Now, list down the factors of 868

:

1,2,4,7,14,28,31,62,124,217,434,868

Now, list down the factors of 428

:

1,2,4,107,214,428

Greatest Common Factor

We found the factors 868,428 . The biggest common factor number is the GCF number.
So the greatest common factor 868,428 is 4.

Lets's calculate LCM of 75,712

Lowest Common Multiple of 75,712 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 53400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/53400

Therefore, the GCF of Fractions 868/75,428/712 is 4/53400

Least Common Multiple of 75,712 with GCF Formula

Least Common Multiple of 75,712 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 75,712 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,712) = 1

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

GCF(75,712) x common factors =1 x 1 = 1

LCM(75,712) = ( 75 × 712 ) / 1

LCM(75,712) = 53400 / 1

LCM(75,712) = 53400


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FAQs on GCF of Fractions of 868/75, 428/712

1. What is the HCF of 868,428?

The HCF of 868,428 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 868/75, 428/712?

Answer: GCF of Numerators as per given numbers 868/75, 428/712 is

GCF of Numerators i.e. for 868,428 is 4

LCM of denominators i.e. for 75,712 is 53400.

Thus, GCF of Fractions is 4/53400.Finally, GCF of Fractions for 868/75, 428/712 is 4/53400.