Greatest Common Factor of 1210/468, 8920/349

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1210/468, 8920/349

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 1210/468,8920/349

Given fractions are 1210/468,8920/349

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 1210,8920

Greatest Common Factor of Numerators i.e. GCF of 1210,8920 is 10 .

LCM of Denominators means LCM of 468,349 as per the given fractions.

LCM of 468,349 is 163332 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1210,8920

GCF of Fractions 1210/468,8920/349 is 10/163332

2 1210, 8920
5 605, 4460
121, 892

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 1210,8920 By Matching Biggest Common Factor Method

Greatest Common Factor of 1210,8920 By Matching Biggest Common Factor Method

Factors of 1210

List of positive integer factors of 1210 that divides 1210 without a remainder.

1,2,5,10,11,22,55,110,121,242,605,1210

Factors of 8920

List of positive integer factors of 8920 that divides 8920 without a remainder.

1,2,4,5,8,10,20,40,223,446,892,1115,1784,2230,4460,8920

Greatest Common Factor

We found the factors 1210,8920 . The biggest common factor number is the GCF number.
So the greatest common factor 1210,8920 is 10.

Lets's calculate LCM of 468,349

Given numbers has no common factors except 1. So, there LCM is their product i.e 163332

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/163332

Therefore, the GCF of Fractions 1210/468,8920/349 is 10/163332

Least Common Multiple of 468,349 with GCF Formula

Least Common Multiple of 468,349 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 468,349 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(468,349) = 1

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

GCF(468,349) x common factors =1 x 1 = 1

LCM(468,349) = ( 468 × 349 ) / 1

LCM(468,349) = 163332 / 1

LCM(468,349) = 163332


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 1210/468, 8920/349

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 1210/468, 8920/349?

Answer: GCF of Numerators as per given numbers 1210/468, 8920/349 is

GCF of Numerators i.e. for 1210,8920 is 10

LCM of denominators i.e. for 468,349 is 163332.

Thus, GCF of Fractions is 10/163332.Finally, GCF of Fractions for 1210/468, 8920/349 is 10/163332.