Greatest Common Factor of 3757/98, 3178/946

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3757/98, 3178/946

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 3757/98,3178/946

Given fractions are 3757/98,3178/946

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 3757,3178

Greatest Common Factor of Numerators i.e. GCF of 3757,3178 is 1 .

LCM of Denominators means LCM of 98,946 as per the given fractions.

LCM of 98,946 is 46354 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3757,3178

GCF of Fractions 3757/98,3178/946 is 1/46354

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

Greatest Common Factor of 3757,3178 By Matching Biggest Common Factor Method

Greatest Common Factor of 3757,3178 By Matching Biggest Common Factor Method

Factors of 3757

List of positive integer factors of 3757 that divides 3757 without a remainder.

1,13,17,221,289,3757

Factors of 3178

List of positive integer factors of 3178 that divides 3178 without a remainder.

1,2,7,14,227,454,1589,3178

Greatest Common Factor

We found the factors 3757,3178 . The biggest common factor number is the GCF number.
So the greatest common factor 3757,3178 is 1.

Lets's calculate LCM of 98,946

2 98, 946
49, 473

∴ So the LCM of the given numbers is 2 x 49 x 473 = 46354

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/46354

Therefore, the GCF of Fractions 3757/98,3178/946 is 1/46354

Least Common Multiple of 98,946 with GCF Formula

Least Common Multiple of 98,946 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 98,946 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,946) = 2

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

GCF(98,946) x common factors =2 x 1 = 2

LCM(98,946) = ( 98 × 946 ) / 2

LCM(98,946) = 92708 / 2

LCM(98,946) = 46354


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 3757/98, 3178/946

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 3757/98, 3178/946?

Answer: GCF of Numerators as per given numbers 3757/98, 3178/946 is

GCF of Numerators i.e. for 3757,3178 is 1

LCM of denominators i.e. for 98,946 is 46354.

Thus, GCF of Fractions is 1/46354.Finally, GCF of Fractions for 3757/98, 3178/946 is 1/46354.