Greatest Common Factor of 6298/470, 1408/913

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6298/470, 1408/913

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 6298/470,1408/913

Given fractions are 6298/470,1408/913

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 6298,1408

Greatest Common Factor of Numerators i.e. GCF of 6298,1408 is 2 .

LCM of Denominators means LCM of 470,913 as per the given fractions.

LCM of 470,913 is 429110 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6298,1408

GCF of Fractions 6298/470,1408/913 is 2/429110

2 6298, 1408
3149, 704

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

Greatest Common Factor of 6298,1408 By Matching Biggest Common Factor Method

Greatest Common Factor of 6298,1408 By Matching Biggest Common Factor Method

Factors of 6298

List of positive integer factors of 6298 that divides 6298 without a remainder.

1,2,47,67,94,134,3149,6298

Factors of 1408

List of positive integer factors of 1408 that divides 1408 without a remainder.

1,2,4,8,11,16,22,32,44,64,88,128,176,352,704,1408

Greatest Common Factor

We found the factors 6298,1408 . The biggest common factor number is the GCF number.
So the greatest common factor 6298,1408 is 2.

Lets's calculate LCM of 470,913

Given numbers has no common factors except 1. So, there LCM is their product i.e 429110

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/429110

Therefore, the GCF of Fractions 6298/470,1408/913 is 2/429110

Least Common Multiple of 470,913 with GCF Formula

Least Common Multiple of 470,913 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 470,913 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(470,913) = 1

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

GCF(470,913) x common factors =1 x 1 = 1

LCM(470,913) = ( 470 × 913 ) / 1

LCM(470,913) = 429110 / 1

LCM(470,913) = 429110


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 6298/470, 1408/913

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 6298/470, 1408/913?

Answer: GCF of Numerators as per given numbers 6298/470, 1408/913 is

GCF of Numerators i.e. for 6298,1408 is 2

LCM of denominators i.e. for 470,913 is 429110.

Thus, GCF of Fractions is 2/429110.Finally, GCF of Fractions for 6298/470, 1408/913 is 2/429110.