Greatest Common Factor of 14/375, 558/341, 776/969

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 14/375, 558/341, 776/969

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 14/375,558/341,776/969

Given fractions are 14/375,558/341,776/969

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 14,558,776

Greatest Common Factor of Numerators i.e. GCF of 14,558,776 is 2 .

LCM of Denominators means LCM of 375,341,969 as per the given fractions.

LCM of 375,341,969 is 41303625 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 14,558,776

GCF of Fractions 14/375,558/341,776/969 is 2/41303625

2 14, 558, 776
7, 279, 388

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 14,558,776 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,558,776 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 558

List of positive integer factors of 558 that divides 558 without a remainder.

1,2,3,6,9,18,31,62,93,186,279,558

Factors of 776

List of positive integer factors of 776 that divides 776 without a remainder.

1,2,4,8,97,194,388,776

Greatest Common Factor

We found the factors 14,558,776 . The biggest common factor number is the GCF number.
So the greatest common factor 14,558,776 is 2.

Lets's calculate LCM of 375,341,969

3 375, 341, 969
125, 341, 323

∴ So the LCM of the given numbers is 3 x 125 x 341 x 323 = 41303625

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/41303625

Therefore, the GCF of Fractions 14/375,558/341,776/969 is 2/41303625

Least Common Multiple of 375,341,969 with GCF Formula

Least Common Multiple of 375,341,969 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 375,341,969 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(375,341,969) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(375,341,969) x common factors =1 x 3 = 3

LCM(375,341,969) = ( 375 × 341 × 969 ) / 3

LCM(375,341,969) = 123910875 / 3

LCM(375,341,969) = 41303625


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 14/375, 558/341, 776/969

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 14/375, 558/341, 776/969?

Answer: GCF of Numerators as per given numbers 14/375, 558/341, 776/969 is

GCF of Numerators i.e. for 14,558,776 is 2

LCM of denominators i.e. for 375,341,969 is 41303625.

Thus, GCF of Fractions is 2/41303625.Finally, GCF of Fractions for 14/375, 558/341, 776/969 is 2/41303625.