Greatest Common Factor of 1426/295, 9538/9509

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1426/295, 9538/9509

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 1426/295,9538/9509

Given fractions are 1426/295,9538/9509

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 1426,9538

Greatest Common Factor of Numerators i.e. GCF of 1426,9538 is 2 .

LCM of Denominators means LCM of 295,9509 as per the given fractions.

LCM of 295,9509 is 2805155 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1426,9538

GCF of Fractions 1426/295,9538/9509 is 2/2805155

2 1426, 9538
713, 4769

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

Greatest Common Factor of 1426,9538 By Matching Biggest Common Factor Method

Greatest Common Factor of 1426,9538 By Matching Biggest Common Factor Method

Factors of 1426

List of positive integer factors of 1426 that divides 1426 without a remainder.

1,2,23,31,46,62,713,1426

Factors of 9538

List of positive integer factors of 9538 that divides 9538 without a remainder.

1,2,19,38,251,502,4769,9538

Greatest Common Factor

We found the factors 1426,9538 . The biggest common factor number is the GCF number.
So the greatest common factor 1426,9538 is 2.

Lets's calculate LCM of 295,9509

Given numbers has no common factors except 1. So, there LCM is their product i.e 2805155

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2805155

Therefore, the GCF of Fractions 1426/295,9538/9509 is 2/2805155

Least Common Multiple of 295,9509 with GCF Formula

Least Common Multiple of 295,9509 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 295,9509 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(295,9509) = 1

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

GCF(295,9509) x common factors =1 x 1 = 1

LCM(295,9509) = ( 295 × 9509 ) / 1

LCM(295,9509) = 2805155 / 1

LCM(295,9509) = 2805155


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 1426/295, 9538/9509

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 1426/295, 9538/9509?

Answer: GCF of Numerators as per given numbers 1426/295, 9538/9509 is

GCF of Numerators i.e. for 1426,9538 is 2

LCM of denominators i.e. for 295,9509 is 2805155.

Thus, GCF of Fractions is 2/2805155.Finally, GCF of Fractions for 1426/295, 9538/9509 is 2/2805155.