How to Find GCF of 7108/942, 6361/8692?

GCF of 7108/942, 6361/8692

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 7108/942, 6361/8692 i.e 1/4093932 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7108/942, 6361/8692.

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 7108/942,6361/8692?

Given fractions are 7108/942,6361/8692

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 7108/942,6361/8692, numerators are 7108,6361

Denominators are 942,8692

The GCF of 7108,6361 is 1 .

LCM of 942,8692 is 4093932.

The greatest common factor of 7108/942,6361/8692 = [GCF of 7108,6361]/[LCM of 942,8692]= 1/4093932

Therefore, the GCF of 7108/942,6361/8692 is 1/4093932.

Greatest Common Factor of 7108,6361

To find the highest common factor of 7108,6361, we have to find the factors of both numbers and list the highest common factor.

The factors of 7108 are 1, 2, 4, 1777, 3554, 7108

The factors of 6361 are 1, 6361

The HCF of 7108,6361 is 1.

Lets's calculate GCF of 7108,6361

Greatest Common Factor (GCF) of 7108,6361 By Common Division

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

Greatest Common Factor of 7108,6361 By Matching Biggest Common Factor Method

Now, list down the factors of 7108

1,2,4,1777,3554,7108

Now, list down the factors of 6361

1,6361

Greatest Common Factor

We found the factors 7108,6361 . The biggest common factor number is the GCF number.
So the greatest common factor 7108,6361 is 1.

Lets's calculate LCM of 942,8692

Lowest Common Multiple of 942,8692 using Common Division

2	942, 8692
	471, 4346

∴ So the LCM of the given numbers is 2 x 471 x 4346 = 4093932

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4093932

Therefore, the GCF of Fractions 7108/942,6361/8692 is 1/4093932

Least Common Multiple of 942,8692 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 942,8692 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(942,8692) = 2

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

GCF(942,8692) x common factors =2 x 1 = 2

LCM(942,8692) = ( 942 × 8692 ) / 2

LCM(942,8692) = 8187864 / 2

LCM(942,8692) = 4093932

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FAQs on GCF of Fractions of 7108/942, 6361/8692

1. What is the HCF of 7108,6361?

The HCF of 7108,6361 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 7108/942, 6361/8692?

Answer: GCF of Numerators as per given numbers 7108/942, 6361/8692 is

GCF of Numerators i.e. for 7108,6361 is 1

LCM of denominators i.e. for 942,8692 is 4093932.

Thus, GCF of Fractions is 1/4093932.Finally, GCF of Fractions for 7108/942, 6361/8692 is 1/4093932.