Greatest Common Factor of 461/1896, 702/7338

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 461/1896, 702/7338

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 461/1896,702/7338

Given fractions are 461/1896,702/7338

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 461,702

Greatest Common Factor of Numerators i.e. GCF of 461,702 is 1 .

LCM of Denominators means LCM of 1896,7338 as per the given fractions.

LCM of 1896,7338 is 2318808 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 461,702

GCF of Fractions 461/1896,702/7338 is 1/2318808

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 461,702 By Matching Biggest Common Factor Method

Greatest Common Factor of 461,702 By Matching Biggest Common Factor Method

Factors of 461

List of positive integer factors of 461 that divides 461 without a remainder.

1,461

Factors of 702

List of positive integer factors of 702 that divides 702 without a remainder.

1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702

Greatest Common Factor

We found the factors 461,702 . The biggest common factor number is the GCF number.
So the greatest common factor 461,702 is 1.

Lets's calculate LCM of 1896,7338

2 1896, 7338
3 948, 3669
316, 1223

∴ So the LCM of the given numbers is 2 x 3 x 316 x 1223 = 2318808

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2318808

Therefore, the GCF of Fractions 461/1896,702/7338 is 1/2318808

Least Common Multiple of 1896,7338 with GCF Formula

Least Common Multiple of 1896,7338 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 1896,7338 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1896,7338) = 6

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

GCF(1896,7338) x common factors =6 x 1 = 6

LCM(1896,7338) = ( 1896 × 7338 ) / 6

LCM(1896,7338) = 13912848 / 6

LCM(1896,7338) = 2318808


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 461/1896, 702/7338

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 461/1896, 702/7338?

Answer: GCF of Numerators as per given numbers 461/1896, 702/7338 is

GCF of Numerators i.e. for 461,702 is 1

LCM of denominators i.e. for 1896,7338 is 2318808.

Thus, GCF of Fractions is 1/2318808.Finally, GCF of Fractions for 461/1896, 702/7338 is 1/2318808.