How to Find GCF of 6877/942, 8137/7781?

GCF of 6877/942, 8137/7781

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 6877/942, 8137/7781 i.e 1/7329702 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6877/942, 8137/7781.

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 6877/942,8137/7781?

Given fractions are 6877/942,8137/7781

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 6877/942,8137/7781, numerators are 6877,8137

Denominators are 942,7781

The GCF of 6877,8137 is 1 .

LCM of 942,7781 is 7329702.

The greatest common factor of 6877/942,8137/7781 = [GCF of 6877,8137]/[LCM of 942,7781]= 1/7329702

Therefore, the GCF of 6877/942,8137/7781 is 1/7329702.

Greatest Common Factor of 6877,8137

To find the highest common factor of 6877,8137, we have to find the factors of both numbers and list the highest common factor.

The factors of 6877 are 1, 13, 23, 299, 529, 6877

The factors of 8137 are 1, 79, 103, 8137

The HCF of 6877,8137 is 1.

Lets's calculate GCF of 6877,8137

Greatest Common Factor (GCF) of 6877,8137 By Common Division

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

Greatest Common Factor of 6877,8137 By Matching Biggest Common Factor Method

Now, list down the factors of 6877

1,13,23,299,529,6877

Now, list down the factors of 8137

1,79,103,8137

Greatest Common Factor

We found the factors 6877,8137 . The biggest common factor number is the GCF number.
So the greatest common factor 6877,8137 is 1.

Lets's calculate LCM of 942,7781

Lowest Common Multiple of 942,7781 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7329702

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7329702

Therefore, the GCF of Fractions 6877/942,8137/7781 is 1/7329702

Least Common Multiple of 942,7781 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 942,7781 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(942,7781) = 1

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

GCF(942,7781) x common factors =1 x 1 = 1

LCM(942,7781) = ( 942 × 7781 ) / 1

LCM(942,7781) = 7329702 / 1

LCM(942,7781) = 7329702

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FAQs on GCF of Fractions of 6877/942, 8137/7781

1. What is the HCF of 6877,8137?

The HCF of 6877,8137 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 6877/942, 8137/7781?

Answer: GCF of Numerators as per given numbers 6877/942, 8137/7781 is

GCF of Numerators i.e. for 6877,8137 is 1

LCM of denominators i.e. for 942,7781 is 7329702.

Thus, GCF of Fractions is 1/7329702.Finally, GCF of Fractions for 6877/942, 8137/7781 is 1/7329702.