Greatest Common Factor of 2254/975, 6426/437

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2254/975, 6426/437

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 2254/975,6426/437

Given fractions are 2254/975,6426/437

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 2254,6426

Greatest Common Factor of Numerators i.e. GCF of 2254,6426 is 14 .

LCM of Denominators means LCM of 975,437 as per the given fractions.

LCM of 975,437 is 426075 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2254,6426

GCF of Fractions 2254/975,6426/437 is 14/426075

2 2254, 6426
7 1127, 3213
161, 459

∴ So the GCF of the given numbers is 2 x 7 = 14

Greatest Common Factor of 2254,6426 By Matching Biggest Common Factor Method

Greatest Common Factor of 2254,6426 By Matching Biggest Common Factor Method

Factors of 2254

List of positive integer factors of 2254 that divides 2254 without a remainder.

1,2,7,14,23,46,49,98,161,322,1127,2254

Factors of 6426

List of positive integer factors of 6426 that divides 6426 without a remainder.

1,2,3,6,7,9,14,17,18,21,27,34,42,51,54,63,102,119,126,153,189,238,306,357,378,459,714,918,1071,2142,3213,6426

Greatest Common Factor

We found the factors 2254,6426 . The biggest common factor number is the GCF number.
So the greatest common factor 2254,6426 is 14.

Lets's calculate LCM of 975,437

Given numbers has no common factors except 1. So, there LCM is their product i.e 426075

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/426075

Therefore, the GCF of Fractions 2254/975,6426/437 is 14/426075

Least Common Multiple of 975,437 with GCF Formula

Least Common Multiple of 975,437 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 975,437 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(975,437) = 1

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

GCF(975,437) x common factors =1 x 1 = 1

LCM(975,437) = ( 975 × 437 ) / 1

LCM(975,437) = 426075 / 1

LCM(975,437) = 426075


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 2254/975, 6426/437

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 2254/975, 6426/437?

Answer: GCF of Numerators as per given numbers 2254/975, 6426/437 is

GCF of Numerators i.e. for 2254,6426 is 14

LCM of denominators i.e. for 975,437 is 426075.

Thus, GCF of Fractions is 14/426075.Finally, GCF of Fractions for 2254/975, 6426/437 is 14/426075.