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GCF of 6907/334, 8764/468

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 6907/334, 8764/468 i.e 1/78156 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6907/334, 8764/468.

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 6907/334,8764/468?

Given fractions are 6907/334,8764/468

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 6907/334,8764/468, numerators are 6907,8764

Denominators are 334,468

The GCF of 6907,8764 is 1 .

LCM of 334,468 is 78156.

The greatest common factor of 6907/334,8764/468 = [GCF of 6907,8764]/[LCM of 334,468]= 1/78156

Therefore, the GCF of 6907/334,8764/468 is 1/78156.

Greatest Common Factor of 6907,8764

To find the highest common factor of 6907,8764, we have to find the factors of both numbers and list the highest common factor.

The factors of 6907 are 1, 6907

The factors of 8764 are 1, 2, 4, 7, 14, 28, 313, 626, 1252, 2191, 4382, 8764

The HCF of 6907,8764 is 1.

Lets's calculate GCF of 6907,8764

Greatest Common Factor (GCF) of 6907,8764 By Common Division

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

Greatest Common Factor of 6907,8764 By Matching Biggest Common Factor Method

Greatest Common Factor of 6907,8764 By Matching Biggest Common Factor Method

Now, list down the factors of 6907

:

1,6907

Now, list down the factors of 8764

:

1,2,4,7,14,28,313,626,1252,2191,4382,8764

Greatest Common Factor

We found the factors 6907,8764 . The biggest common factor number is the GCF number.
So the greatest common factor 6907,8764 is 1.

Lets's calculate LCM of 334,468

Lowest Common Multiple of 334,468 using Common Division

2 334, 468
167, 234

∴ So the LCM of the given numbers is 2 x 167 x 234 = 78156

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/78156

Therefore, the GCF of Fractions 6907/334,8764/468 is 1/78156

Least Common Multiple of 334,468 with GCF Formula

Least Common Multiple of 334,468 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 334,468 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(334,468) = 2

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

GCF(334,468) x common factors =2 x 1 = 2

LCM(334,468) = ( 334 × 468 ) / 2

LCM(334,468) = 156312 / 2

LCM(334,468) = 78156


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FAQs on GCF of Fractions of 6907/334, 8764/468

1. What is the HCF of 6907,8764?

The HCF of 6907,8764 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 6907/334, 8764/468?

Answer: GCF of Numerators as per given numbers 6907/334, 8764/468 is

GCF of Numerators i.e. for 6907,8764 is 1

LCM of denominators i.e. for 334,468 is 78156.

Thus, GCF of Fractions is 1/78156.Finally, GCF of Fractions for 6907/334, 8764/468 is 1/78156.