Greatest Common Factor of 1240/735, 3754/7375

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1240/735, 3754/7375

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 1240/735,3754/7375

Given fractions are 1240/735,3754/7375

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 1240,3754

Greatest Common Factor of Numerators i.e. GCF of 1240,3754 is 2 .

LCM of Denominators means LCM of 735,7375 as per the given fractions.

LCM of 735,7375 is 1084125 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1240,3754

GCF of Fractions 1240/735,3754/7375 is 2/1084125

2 1240, 3754
620, 1877

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 1240,3754 By Matching Biggest Common Factor Method

Greatest Common Factor of 1240,3754 By Matching Biggest Common Factor Method

Factors of 1240

List of positive integer factors of 1240 that divides 1240 without a remainder.

1,2,4,5,8,10,20,31,40,62,124,155,248,310,620,1240

Factors of 3754

List of positive integer factors of 3754 that divides 3754 without a remainder.

1,2,1877,3754

Greatest Common Factor

We found the factors 1240,3754 . The biggest common factor number is the GCF number.
So the greatest common factor 1240,3754 is 2.

Lets's calculate LCM of 735,7375

5 735, 7375
147, 1475

∴ So the LCM of the given numbers is 5 x 147 x 1475 = 1084125

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1084125

Therefore, the GCF of Fractions 1240/735,3754/7375 is 2/1084125

Least Common Multiple of 735,7375 with GCF Formula

Least Common Multiple of 735,7375 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 735,7375 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(735,7375) = 5

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

GCF(735,7375) x common factors =5 x 1 = 5

LCM(735,7375) = ( 735 × 7375 ) / 5

LCM(735,7375) = 5420625 / 5

LCM(735,7375) = 1084125


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 1240/735, 3754/7375

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 1240/735, 3754/7375?

Answer: GCF of Numerators as per given numbers 1240/735, 3754/7375 is

GCF of Numerators i.e. for 1240,3754 is 2

LCM of denominators i.e. for 735,7375 is 1084125.

Thus, GCF of Fractions is 2/1084125.Finally, GCF of Fractions for 1240/735, 3754/7375 is 2/1084125.