Greatest Common Factor of 3520/40, 7057/386

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3520/40, 7057/386

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 3520/40,7057/386

Given fractions are 3520/40,7057/386

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 3520,7057

Greatest Common Factor of Numerators i.e. GCF of 3520,7057 is 1 .

LCM of Denominators means LCM of 40,386 as per the given fractions.

LCM of 40,386 is 7720 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3520,7057

GCF of Fractions 3520/40,7057/386 is 1/7720

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

Greatest Common Factor of 3520,7057 By Matching Biggest Common Factor Method

Greatest Common Factor of 3520,7057 By Matching Biggest Common Factor Method

Factors of 3520

List of positive integer factors of 3520 that divides 3520 without a remainder.

1,2,4,5,8,10,11,16,20,22,32,40,44,55,64,80,88,110,160,176,220,320,352,440,704,880,1760,3520

Factors of 7057

List of positive integer factors of 7057 that divides 7057 without a remainder.

1,7057

Greatest Common Factor

We found the factors 3520,7057 . The biggest common factor number is the GCF number.
So the greatest common factor 3520,7057 is 1.

Lets's calculate LCM of 40,386

2 40, 386
20, 193

∴ So the LCM of the given numbers is 2 x 20 x 193 = 7720

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7720

Therefore, the GCF of Fractions 3520/40,7057/386 is 1/7720

Least Common Multiple of 40,386 with GCF Formula

Least Common Multiple of 40,386 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 40,386 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,386) = 2

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

GCF(40,386) x common factors =2 x 1 = 2

LCM(40,386) = ( 40 × 386 ) / 2

LCM(40,386) = 15440 / 2

LCM(40,386) = 7720


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 3520/40, 7057/386

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 3520/40, 7057/386?

Answer: GCF of Numerators as per given numbers 3520/40, 7057/386 is

GCF of Numerators i.e. for 3520,7057 is 1

LCM of denominators i.e. for 40,386 is 7720.

Thus, GCF of Fractions is 1/7720.Finally, GCF of Fractions for 3520/40, 7057/386 is 1/7720.