How to Find GCF of 8713/702, 2767/6257?

GCF of 8713/702, 2767/6257

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 8713/702, 2767/6257 i.e 1/4392414 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8713/702, 2767/6257.

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 8713/702,2767/6257?

Given fractions are 8713/702,2767/6257

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 8713/702,2767/6257, numerators are 8713,2767

Denominators are 702,6257

The GCF of 8713,2767 is 1 .

LCM of 702,6257 is 4392414.

The greatest common factor of 8713/702,2767/6257 = [GCF of 8713,2767]/[LCM of 702,6257]= 1/4392414

Therefore, the GCF of 8713/702,2767/6257 is 1/4392414.

Greatest Common Factor of 8713,2767

To find the highest common factor of 8713,2767, we have to find the factors of both numbers and list the highest common factor.

The factors of 8713 are 1, 8713

The factors of 2767 are 1, 2767

The HCF of 8713,2767 is 1.

Lets's calculate GCF of 8713,2767

Greatest Common Factor (GCF) of 8713,2767 By Common Division

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

Greatest Common Factor of 8713,2767 By Matching Biggest Common Factor Method

Now, list down the factors of 8713

1,8713

Now, list down the factors of 2767

1,2767

Greatest Common Factor

We found the factors 8713,2767 . The biggest common factor number is the GCF number.
So the greatest common factor 8713,2767 is 1.

Lets's calculate LCM of 702,6257

Lowest Common Multiple of 702,6257 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4392414

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4392414

Therefore, the GCF of Fractions 8713/702,2767/6257 is 1/4392414

Least Common Multiple of 702,6257 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 702,6257 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(702,6257) = 1

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

GCF(702,6257) x common factors =1 x 1 = 1

LCM(702,6257) = ( 702 × 6257 ) / 1

LCM(702,6257) = 4392414 / 1

LCM(702,6257) = 4392414

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FAQs on GCF of Fractions of 8713/702, 2767/6257

1. What is the HCF of 8713,2767?

The HCF of 8713,2767 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 8713/702, 2767/6257?

Answer: GCF of Numerators as per given numbers 8713/702, 2767/6257 is

GCF of Numerators i.e. for 8713,2767 is 1

LCM of denominators i.e. for 702,6257 is 4392414.

Thus, GCF of Fractions is 1/4392414.Finally, GCF of Fractions for 8713/702, 2767/6257 is 1/4392414.