Greatest Common Factor of 421/914, 3680/849

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 421/914, 3680/849

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 421/914,3680/849

Given fractions are 421/914,3680/849

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 421,3680

Greatest Common Factor of Numerators i.e. GCF of 421,3680 is 1 .

LCM of Denominators means LCM of 914,849 as per the given fractions.

LCM of 914,849 is 775986 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 421,3680

GCF of Fractions 421/914,3680/849 is 1/775986

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

Greatest Common Factor of 421,3680 By Matching Biggest Common Factor Method

Greatest Common Factor of 421,3680 By Matching Biggest Common Factor Method

Factors of 421

List of positive integer factors of 421 that divides 421 without a remainder.

1,421

Factors of 3680

List of positive integer factors of 3680 that divides 3680 without a remainder.

1,2,4,5,8,10,16,20,23,32,40,46,80,92,115,160,184,230,368,460,736,920,1840,3680

Greatest Common Factor

We found the factors 421,3680 . The biggest common factor number is the GCF number.
So the greatest common factor 421,3680 is 1.

Lets's calculate LCM of 914,849

Given numbers has no common factors except 1. So, there LCM is their product i.e 775986

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/775986

Therefore, the GCF of Fractions 421/914,3680/849 is 1/775986

Least Common Multiple of 914,849 with GCF Formula

Least Common Multiple of 914,849 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 914,849 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(914,849) = 1

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

GCF(914,849) x common factors =1 x 1 = 1

LCM(914,849) = ( 914 × 849 ) / 1

LCM(914,849) = 775986 / 1

LCM(914,849) = 775986


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 421/914, 3680/849

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 421/914, 3680/849?

Answer: GCF of Numerators as per given numbers 421/914, 3680/849 is

GCF of Numerators i.e. for 421,3680 is 1

LCM of denominators i.e. for 914,849 is 775986.

Thus, GCF of Fractions is 1/775986.Finally, GCF of Fractions for 421/914, 3680/849 is 1/775986.