How to Find GCF of 6392/938, 9371/4089?

GCF of 6392/938, 9371/4089

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 6392/938, 9371/4089 i.e 1/3835482 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6392/938, 9371/4089.

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 6392/938,9371/4089?

Given fractions are 6392/938,9371/4089

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 6392/938,9371/4089, numerators are 6392,9371

Denominators are 938,4089

The GCF of 6392,9371 is 1 .

LCM of 938,4089 is 3835482.

The greatest common factor of 6392/938,9371/4089 = [GCF of 6392,9371]/[LCM of 938,4089]= 1/3835482

Therefore, the GCF of 6392/938,9371/4089 is 1/3835482.

Greatest Common Factor of 6392,9371

To find the highest common factor of 6392,9371, we have to find the factors of both numbers and list the highest common factor.

The factors of 6392 are 1, 2, 4, 8, 17, 34, 47, 68, 94, 136, 188, 376, 799, 1598, 3196, 6392

The factors of 9371 are 1, 9371

The HCF of 6392,9371 is 1.

Lets's calculate GCF of 6392,9371

Greatest Common Factor (GCF) of 6392,9371 By Common Division

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

Greatest Common Factor of 6392,9371 By Matching Biggest Common Factor Method

Now, list down the factors of 6392

1,2,4,8,17,34,47,68,94,136,188,376,799,1598,3196,6392

Now, list down the factors of 9371

1,9371

Greatest Common Factor

We found the factors 6392,9371 . The biggest common factor number is the GCF number.
So the greatest common factor 6392,9371 is 1.

Lets's calculate LCM of 938,4089

Lowest Common Multiple of 938,4089 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3835482

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3835482

Therefore, the GCF of Fractions 6392/938,9371/4089 is 1/3835482

Least Common Multiple of 938,4089 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 938,4089 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(938,4089) = 1

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

GCF(938,4089) x common factors =1 x 1 = 1

LCM(938,4089) = ( 938 × 4089 ) / 1

LCM(938,4089) = 3835482 / 1

LCM(938,4089) = 3835482

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 6392/938, 9371/4089

1. What is the HCF of 6392,9371?

The HCF of 6392,9371 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 6392/938, 9371/4089?

Answer: GCF of Numerators as per given numbers 6392/938, 9371/4089 is

GCF of Numerators i.e. for 6392,9371 is 1

LCM of denominators i.e. for 938,4089 is 3835482.

Thus, GCF of Fractions is 1/3835482.Finally, GCF of Fractions for 6392/938, 9371/4089 is 1/3835482.