Greatest Common Factor of 969/42, 5454/518

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 969/42, 5454/518

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 969/42,5454/518

Given fractions are 969/42,5454/518

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 969,5454

Greatest Common Factor of Numerators i.e. GCF of 969,5454 is 3 .

LCM of Denominators means LCM of 42,518 as per the given fractions.

LCM of 42,518 is 1554 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 969,5454

GCF of Fractions 969/42,5454/518 is 3/1554

3 969, 5454
323, 1818

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 969,5454 By Matching Biggest Common Factor Method

Greatest Common Factor of 969,5454 By Matching Biggest Common Factor Method

Factors of 969

List of positive integer factors of 969 that divides 969 without a remainder.

1,3,17,19,51,57,323,969

Factors of 5454

List of positive integer factors of 5454 that divides 5454 without a remainder.

1,2,3,6,9,18,27,54,101,202,303,606,909,1818,2727,5454

Greatest Common Factor

We found the factors 969,5454 . The biggest common factor number is the GCF number.
So the greatest common factor 969,5454 is 3.

Lets's calculate LCM of 42,518

2 42, 518
7 21, 259
3, 37

∴ So the LCM of the given numbers is 2 x 7 x 3 x 37 = 1554

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1554

Therefore, the GCF of Fractions 969/42,5454/518 is 3/1554

Least Common Multiple of 42,518 with GCF Formula

Least Common Multiple of 42,518 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 42,518 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,518) = 14

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

GCF(42,518) x common factors =14 x 1 = 14

LCM(42,518) = ( 42 × 518 ) / 14

LCM(42,518) = 21756 / 14

LCM(42,518) = 1554


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 969/42, 5454/518

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 969/42, 5454/518?

Answer: GCF of Numerators as per given numbers 969/42, 5454/518 is

GCF of Numerators i.e. for 969,5454 is 3

LCM of denominators i.e. for 42,518 is 1554.

Thus, GCF of Fractions is 3/1554.Finally, GCF of Fractions for 969/42, 5454/518 is 3/1554.