Greatest Common Factor of 2075/140, 3583/7713

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2075/140, 3583/7713

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 2075/140,3583/7713

Given fractions are 2075/140,3583/7713

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 2075,3583

Greatest Common Factor of Numerators i.e. GCF of 2075,3583 is 1 .

LCM of Denominators means LCM of 140,7713 as per the given fractions.

LCM of 140,7713 is 1079820 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2075,3583

GCF of Fractions 2075/140,3583/7713 is 1/1079820

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

Greatest Common Factor of 2075,3583 By Matching Biggest Common Factor Method

Greatest Common Factor of 2075,3583 By Matching Biggest Common Factor Method

Factors of 2075

List of positive integer factors of 2075 that divides 2075 without a remainder.

1,5,25,83,415,2075

Factors of 3583

List of positive integer factors of 3583 that divides 3583 without a remainder.

1,3583

Greatest Common Factor

We found the factors 2075,3583 . The biggest common factor number is the GCF number.
So the greatest common factor 2075,3583 is 1.

Lets's calculate LCM of 140,7713

Given numbers has no common factors except 1. So, there LCM is their product i.e 1079820

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1079820

Therefore, the GCF of Fractions 2075/140,3583/7713 is 1/1079820

Least Common Multiple of 140,7713 with GCF Formula

Least Common Multiple of 140,7713 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 140,7713 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(140,7713) = 1

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

GCF(140,7713) x common factors =1 x 1 = 1

LCM(140,7713) = ( 140 × 7713 ) / 1

LCM(140,7713) = 1079820 / 1

LCM(140,7713) = 1079820


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 2075/140, 3583/7713

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 2075/140, 3583/7713?

Answer: GCF of Numerators as per given numbers 2075/140, 3583/7713 is

GCF of Numerators i.e. for 2075,3583 is 1

LCM of denominators i.e. for 140,7713 is 1079820.

Thus, GCF of Fractions is 1/1079820.Finally, GCF of Fractions for 2075/140, 3583/7713 is 1/1079820.