Greatest Common Factor of 1484/211, 8478/310

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1484/211, 8478/310

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 1484/211,8478/310

Given fractions are 1484/211,8478/310

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 1484,8478

Greatest Common Factor of Numerators i.e. GCF of 1484,8478 is 2 .

LCM of Denominators means LCM of 211,310 as per the given fractions.

LCM of 211,310 is 65410 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1484,8478

GCF of Fractions 1484/211,8478/310 is 2/65410

2 1484, 8478
742, 4239

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

Greatest Common Factor of 1484,8478 By Matching Biggest Common Factor Method

Greatest Common Factor of 1484,8478 By Matching Biggest Common Factor Method

Factors of 1484

List of positive integer factors of 1484 that divides 1484 without a remainder.

1,2,4,7,14,28,53,106,212,371,742,1484

Factors of 8478

List of positive integer factors of 8478 that divides 8478 without a remainder.

1,2,3,6,9,18,27,54,157,314,471,942,1413,2826,4239,8478

Greatest Common Factor

We found the factors 1484,8478 . The biggest common factor number is the GCF number.
So the greatest common factor 1484,8478 is 2.

Lets's calculate LCM of 211,310

Given numbers has no common factors except 1. So, there LCM is their product i.e 65410

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/65410

Therefore, the GCF of Fractions 1484/211,8478/310 is 2/65410

Least Common Multiple of 211,310 with GCF Formula

Least Common Multiple of 211,310 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 211,310 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(211,310) = 1

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

GCF(211,310) x common factors =1 x 1 = 1

LCM(211,310) = ( 211 × 310 ) / 1

LCM(211,310) = 65410 / 1

LCM(211,310) = 65410


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 1484/211, 8478/310

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 1484/211, 8478/310?

Answer: GCF of Numerators as per given numbers 1484/211, 8478/310 is

GCF of Numerators i.e. for 1484,8478 is 2

LCM of denominators i.e. for 211,310 is 65410.

Thus, GCF of Fractions is 2/65410.Finally, GCF of Fractions for 1484/211, 8478/310 is 2/65410.