Greatest Common Factor of 610/909, 1978/428

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 610/909, 1978/428

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 610/909,1978/428

Given fractions are 610/909,1978/428

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 610,1978

Greatest Common Factor of Numerators i.e. GCF of 610,1978 is 2 .

LCM of Denominators means LCM of 909,428 as per the given fractions.

LCM of 909,428 is 389052 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 610,1978

GCF of Fractions 610/909,1978/428 is 2/389052

2 610, 1978
305, 989

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

Greatest Common Factor of 610,1978 By Matching Biggest Common Factor Method

Greatest Common Factor of 610,1978 By Matching Biggest Common Factor Method

Factors of 610

List of positive integer factors of 610 that divides 610 without a remainder.

1,2,5,10,61,122,305,610

Factors of 1978

List of positive integer factors of 1978 that divides 1978 without a remainder.

1,2,23,43,46,86,989,1978

Greatest Common Factor

We found the factors 610,1978 . The biggest common factor number is the GCF number.
So the greatest common factor 610,1978 is 2.

Lets's calculate LCM of 909,428

Given numbers has no common factors except 1. So, there LCM is their product i.e 389052

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/389052

Therefore, the GCF of Fractions 610/909,1978/428 is 2/389052

Least Common Multiple of 909,428 with GCF Formula

Least Common Multiple of 909,428 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 909,428 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(909,428) = 1

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

GCF(909,428) x common factors =1 x 1 = 1

LCM(909,428) = ( 909 × 428 ) / 1

LCM(909,428) = 389052 / 1

LCM(909,428) = 389052


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 610/909, 1978/428

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 610/909, 1978/428?

Answer: GCF of Numerators as per given numbers 610/909, 1978/428 is

GCF of Numerators i.e. for 610,1978 is 2

LCM of denominators i.e. for 909,428 is 389052.

Thus, GCF of Fractions is 2/389052.Finally, GCF of Fractions for 610/909, 1978/428 is 2/389052.