Greatest Common Factor of 1658/235, 7546/3740

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1658/235, 7546/3740

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 1658/235,7546/3740

Given fractions are 1658/235,7546/3740

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 1658,7546

Greatest Common Factor of Numerators i.e. GCF of 1658,7546 is 2 .

LCM of Denominators means LCM of 235,3740 as per the given fractions.

LCM of 235,3740 is 175780 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1658,7546

GCF of Fractions 1658/235,7546/3740 is 2/175780

2 1658, 7546
829, 3773

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

Greatest Common Factor of 1658,7546 By Matching Biggest Common Factor Method

Greatest Common Factor of 1658,7546 By Matching Biggest Common Factor Method

Factors of 1658

List of positive integer factors of 1658 that divides 1658 without a remainder.

1,2,829,1658

Factors of 7546

List of positive integer factors of 7546 that divides 7546 without a remainder.

1,2,7,11,14,22,49,77,98,154,343,539,686,1078,3773,7546

Greatest Common Factor

We found the factors 1658,7546 . The biggest common factor number is the GCF number.
So the greatest common factor 1658,7546 is 2.

Lets's calculate LCM of 235,3740

5 235, 3740
47, 748

∴ So the LCM of the given numbers is 5 x 47 x 748 = 175780

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/175780

Therefore, the GCF of Fractions 1658/235,7546/3740 is 2/175780

Least Common Multiple of 235,3740 with GCF Formula

Least Common Multiple of 235,3740 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 235,3740 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(235,3740) = 5

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

GCF(235,3740) x common factors =5 x 1 = 5

LCM(235,3740) = ( 235 × 3740 ) / 5

LCM(235,3740) = 878900 / 5

LCM(235,3740) = 175780


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 1658/235, 7546/3740

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 1658/235, 7546/3740?

Answer: GCF of Numerators as per given numbers 1658/235, 7546/3740 is

GCF of Numerators i.e. for 1658,7546 is 2

LCM of denominators i.e. for 235,3740 is 175780.

Thus, GCF of Fractions is 2/175780.Finally, GCF of Fractions for 1658/235, 7546/3740 is 2/175780.