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GCF of 6864/265, 5492/715

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 6864/265, 5492/715 i.e 4/37895 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6864/265, 5492/715.

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 6864/265,5492/715?

Given fractions are 6864/265,5492/715

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 6864/265,5492/715, numerators are 6864,5492

Denominators are 265,715

The GCF of 6864,5492 is 4 .

LCM of 265,715 is 37895.

The greatest common factor of 6864/265,5492/715 = [GCF of 6864,5492]/[LCM of 265,715]= 4/37895

Therefore, the GCF of 6864/265,5492/715 is 4/37895.

Greatest Common Factor of 6864,5492

To find the highest common factor of 6864,5492, we have to find the factors of both numbers and list the highest common factor.

The factors of 6864 are 1, 2, 3, 4, 6, 8, 11, 12, 13, 16, 22, 24, 26, 33, 39, 44, 48, 52, 66, 78, 88, 104, 132, 143, 156, 176, 208, 264, 286, 312, 429, 528, 572, 624, 858, 1144, 1716, 2288, 3432, 6864

The factors of 5492 are 1, 2, 4, 1373, 2746, 5492

The HCF of 6864,5492 is 4.

Lets's calculate GCF of 6864,5492

Greatest Common Factor (GCF) of 6864,5492 By Common Division

2 6864, 5492
2 3432, 2746
1716, 1373

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

Greatest Common Factor of 6864,5492 By Matching Biggest Common Factor Method

Greatest Common Factor of 6864,5492 By Matching Biggest Common Factor Method

Now, list down the factors of 6864

:

1,2,3,4,6,8,11,12,13,16,22,24,26,33,39,44,48,52,66,78,88,104,132,143,156,176,208,264,286,312,429,528,572,624,858,1144,1716,2288,3432,6864

Now, list down the factors of 5492

:

1,2,4,1373,2746,5492

Greatest Common Factor

We found the factors 6864,5492 . The biggest common factor number is the GCF number.
So the greatest common factor 6864,5492 is 4.


Lets's calculate LCM of 265,715

Lowest Common Multiple of 265,715 using Common Division

5 265, 715
53, 143

∴ So the LCM of the given numbers is 5 x 53 x 143 = 37895

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/37895

Therefore, the GCF of Fractions 6864/265,5492/715 is 4/37895

Least Common Multiple of 265,715 with GCF Formula

Least Common Multiple of 265,715 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 265,715 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(265,715) = 5

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

GCF(265,715) x common factors =5 x 1 = 5

LCM(265,715) = ( 265 × 715 ) / 5

LCM(265,715) = 189475 / 5

LCM(265,715) = 37895


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 6864/265, 5492/715

1. What is the HCF of 6864,5492?

The HCF of 6864,5492 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 6864/265, 5492/715?

Answer: GCF of Numerators as per given numbers 6864/265, 5492/715 is

GCF of Numerators i.e. for 6864,5492 is 4

LCM of denominators i.e. for 265,715 is 37895.

Thus, GCF of Fractions is 4/37895.Finally, GCF of Fractions for 6864/265, 5492/715 is 4/37895.