Greatest Common Factor of 379/964, 8861/2914

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 379/964, 8861/2914

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 379/964,8861/2914

Given fractions are 379/964,8861/2914

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 379,8861

Greatest Common Factor of Numerators i.e. GCF of 379,8861 is 1 .

LCM of Denominators means LCM of 964,2914 as per the given fractions.

LCM of 964,2914 is 1404548 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 379,8861

GCF of Fractions 379/964,8861/2914 is 1/1404548

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

Greatest Common Factor of 379,8861 By Matching Biggest Common Factor Method

Greatest Common Factor of 379,8861 By Matching Biggest Common Factor Method

Factors of 379

List of positive integer factors of 379 that divides 379 without a remainder.

1,379

Factors of 8861

List of positive integer factors of 8861 that divides 8861 without a remainder.

1,8861

Greatest Common Factor

We found the factors 379,8861 . The biggest common factor number is the GCF number.
So the greatest common factor 379,8861 is 1.

Lets's calculate LCM of 964,2914

2 964, 2914
482, 1457

∴ So the LCM of the given numbers is 2 x 482 x 1457 = 1404548

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1404548

Therefore, the GCF of Fractions 379/964,8861/2914 is 1/1404548

Least Common Multiple of 964,2914 with GCF Formula

Least Common Multiple of 964,2914 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 964,2914 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(964,2914) = 2

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

GCF(964,2914) x common factors =2 x 1 = 2

LCM(964,2914) = ( 964 × 2914 ) / 2

LCM(964,2914) = 2809096 / 2

LCM(964,2914) = 1404548


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 379/964, 8861/2914

1. 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.

2. What is the GCF of Fractions for 379/964, 8861/2914?

Answer: GCF of Numerators as per given numbers 379/964, 8861/2914 is

GCF of Numerators i.e. for 379,8861 is 1

LCM of denominators i.e. for 964,2914 is 1404548.

Thus, GCF of Fractions is 1/1404548.Finally, GCF of Fractions for 379/964, 8861/2914 is 1/1404548.