How to Find GCF of 9371/964, 6257/5833?

GCF of 9371/964, 6257/5833

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 9371/964, 6257/5833 i.e 1/5623012 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9371/964, 6257/5833.

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 9371/964,6257/5833?

Given fractions are 9371/964,6257/5833

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 9371/964,6257/5833, numerators are 9371,6257

Denominators are 964,5833

The GCF of 9371,6257 is 1 .

LCM of 964,5833 is 5623012.

The greatest common factor of 9371/964,6257/5833 = [GCF of 9371,6257]/[LCM of 964,5833]= 1/5623012

Therefore, the GCF of 9371/964,6257/5833 is 1/5623012.

Greatest Common Factor of 9371,6257

To find the highest common factor of 9371,6257, we have to find the factors of both numbers and list the highest common factor.

The factors of 9371 are 1, 9371

The factors of 6257 are 1, 6257

The HCF of 9371,6257 is 1.

Lets's calculate GCF of 9371,6257

Greatest Common Factor (GCF) of 9371,6257 By Common Division

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

Greatest Common Factor of 9371,6257 By Matching Biggest Common Factor Method

Now, list down the factors of 9371

1,9371

Now, list down the factors of 6257

1,6257

Greatest Common Factor

We found the factors 9371,6257 . The biggest common factor number is the GCF number.
So the greatest common factor 9371,6257 is 1.

Lets's calculate LCM of 964,5833

Lowest Common Multiple of 964,5833 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5623012

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5623012

Therefore, the GCF of Fractions 9371/964,6257/5833 is 1/5623012

Least Common Multiple of 964,5833 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 964,5833 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(964,5833) = 1

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

GCF(964,5833) x common factors =1 x 1 = 1

LCM(964,5833) = ( 964 × 5833 ) / 1

LCM(964,5833) = 5623012 / 1

LCM(964,5833) = 5623012

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FAQs on GCF of Fractions of 9371/964, 6257/5833

1. What is the HCF of 9371,6257?

The HCF of 9371,6257 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 9371/964, 6257/5833?

Answer: GCF of Numerators as per given numbers 9371/964, 6257/5833 is

GCF of Numerators i.e. for 9371,6257 is 1

LCM of denominators i.e. for 964,5833 is 5623012.

Thus, GCF of Fractions is 1/5623012.Finally, GCF of Fractions for 9371/964, 6257/5833 is 1/5623012.