Greatest Common Factor of 1220/101, 9754/3062

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1220/101, 9754/3062

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 1220/101,9754/3062

Given fractions are 1220/101,9754/3062

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 1220,9754

Greatest Common Factor of Numerators i.e. GCF of 1220,9754 is 2 .

LCM of Denominators means LCM of 101,3062 as per the given fractions.

LCM of 101,3062 is 309262 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1220,9754

GCF of Fractions 1220/101,9754/3062 is 2/309262

2 1220, 9754
610, 4877

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

Greatest Common Factor of 1220,9754 By Matching Biggest Common Factor Method

Greatest Common Factor of 1220,9754 By Matching Biggest Common Factor Method

Factors of 1220

List of positive integer factors of 1220 that divides 1220 without a remainder.

1,2,4,5,10,20,61,122,244,305,610,1220

Factors of 9754

List of positive integer factors of 9754 that divides 9754 without a remainder.

1,2,4877,9754

Greatest Common Factor

We found the factors 1220,9754 . The biggest common factor number is the GCF number.
So the greatest common factor 1220,9754 is 2.

Lets's calculate LCM of 101,3062

Given numbers has no common factors except 1. So, there LCM is their product i.e 309262

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/309262

Therefore, the GCF of Fractions 1220/101,9754/3062 is 2/309262

Least Common Multiple of 101,3062 with GCF Formula

Least Common Multiple of 101,3062 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 101,3062 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(101,3062) = 1

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

GCF(101,3062) x common factors =1 x 1 = 1

LCM(101,3062) = ( 101 × 3062 ) / 1

LCM(101,3062) = 309262 / 1

LCM(101,3062) = 309262


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 1220/101, 9754/3062

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 1220/101, 9754/3062?

Answer: GCF of Numerators as per given numbers 1220/101, 9754/3062 is

GCF of Numerators i.e. for 1220,9754 is 2

LCM of denominators i.e. for 101,3062 is 309262.

Thus, GCF of Fractions is 2/309262.Finally, GCF of Fractions for 1220/101, 9754/3062 is 2/309262.