How to Find GCF of 8713/677, 2837/7378?

GCF of 8713/677, 2837/7378

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 8713/677, 2837/7378 i.e 1/4994906 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8713/677, 2837/7378.

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 8713/677,2837/7378?

Given fractions are 8713/677,2837/7378

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 8713/677,2837/7378, numerators are 8713,2837

Denominators are 677,7378

The GCF of 8713,2837 is 1 .

LCM of 677,7378 is 4994906.

The greatest common factor of 8713/677,2837/7378 = [GCF of 8713,2837]/[LCM of 677,7378]= 1/4994906

Therefore, the GCF of 8713/677,2837/7378 is 1/4994906.

Greatest Common Factor of 8713,2837

To find the highest common factor of 8713,2837, 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 2837 are 1, 2837

The HCF of 8713,2837 is 1.

Lets's calculate GCF of 8713,2837

Greatest Common Factor (GCF) of 8713,2837 By Common Division

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

Greatest Common Factor of 8713,2837 By Matching Biggest Common Factor Method

Now, list down the factors of 8713

1,8713

Now, list down the factors of 2837

1,2837

Greatest Common Factor

We found the factors 8713,2837 . The biggest common factor number is the GCF number.
So the greatest common factor 8713,2837 is 1.

Lets's calculate LCM of 677,7378

Lowest Common Multiple of 677,7378 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4994906

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4994906

Therefore, the GCF of Fractions 8713/677,2837/7378 is 1/4994906

Least Common Multiple of 677,7378 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 677,7378 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(677,7378) = 1

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

GCF(677,7378) x common factors =1 x 1 = 1

LCM(677,7378) = ( 677 × 7378 ) / 1

LCM(677,7378) = 4994906 / 1

LCM(677,7378) = 4994906

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FAQs on GCF of Fractions of 8713/677, 2837/7378

1. What is the HCF of 8713,2837?

The HCF of 8713,2837 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 8713/677, 2837/7378?

Answer: GCF of Numerators as per given numbers 8713/677, 2837/7378 is

GCF of Numerators i.e. for 8713,2837 is 1

LCM of denominators i.e. for 677,7378 is 4994906.

Thus, GCF of Fractions is 1/4994906.Finally, GCF of Fractions for 8713/677, 2837/7378 is 1/4994906.