Greatest Common Factor of 462/57, 7840/340

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 462/57, 7840/340

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 462/57,7840/340

Given fractions are 462/57,7840/340

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 462,7840

Greatest Common Factor of Numerators i.e. GCF of 462,7840 is 14 .

LCM of Denominators means LCM of 57,340 as per the given fractions.

LCM of 57,340 is 19380 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 462,7840

GCF of Fractions 462/57,7840/340 is 14/19380

2 462, 7840
7 231, 3920
33, 560

∴ So the GCF of the given numbers is 2 x 7 = 14

Greatest Common Factor of 462,7840 By Matching Biggest Common Factor Method

Greatest Common Factor of 462,7840 By Matching Biggest Common Factor Method

Factors of 462

List of positive integer factors of 462 that divides 462 without a remainder.

1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462

Factors of 7840

List of positive integer factors of 7840 that divides 7840 without a remainder.

1,2,4,5,7,8,10,14,16,20,28,32,35,40,49,56,70,80,98,112,140,160,196,224,245,280,392,490,560,784,980,1120,1568,1960,3920,7840

Greatest Common Factor

We found the factors 462,7840 . The biggest common factor number is the GCF number.
So the greatest common factor 462,7840 is 14.

Lets's calculate LCM of 57,340

Given numbers has no common factors except 1. So, there LCM is their product i.e 19380

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/19380

Therefore, the GCF of Fractions 462/57,7840/340 is 14/19380

Least Common Multiple of 57,340 with GCF Formula

Least Common Multiple of 57,340 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 57,340 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,340) = 1

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

GCF(57,340) x common factors =1 x 1 = 1

LCM(57,340) = ( 57 × 340 ) / 1

LCM(57,340) = 19380 / 1

LCM(57,340) = 19380


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 462/57, 7840/340

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 462/57, 7840/340?

Answer: GCF of Numerators as per given numbers 462/57, 7840/340 is

GCF of Numerators i.e. for 462,7840 is 14

LCM of denominators i.e. for 57,340 is 19380.

Thus, GCF of Fractions is 14/19380.Finally, GCF of Fractions for 462/57, 7840/340 is 14/19380.