Greatest Common Factor of 5416/41, 2374/946

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5416/41, 2374/946

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 5416/41,2374/946

Given fractions are 5416/41,2374/946

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 5416,2374

Greatest Common Factor of Numerators i.e. GCF of 5416,2374 is 2 .

LCM of Denominators means LCM of 41,946 as per the given fractions.

LCM of 41,946 is 38786 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5416,2374

GCF of Fractions 5416/41,2374/946 is 2/38786

2 5416, 2374
2708, 1187

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

Greatest Common Factor of 5416,2374 By Matching Biggest Common Factor Method

Greatest Common Factor of 5416,2374 By Matching Biggest Common Factor Method

Factors of 5416

List of positive integer factors of 5416 that divides 5416 without a remainder.

1,2,4,8,677,1354,2708,5416

Factors of 2374

List of positive integer factors of 2374 that divides 2374 without a remainder.

1,2,1187,2374

Greatest Common Factor

We found the factors 5416,2374 . The biggest common factor number is the GCF number.
So the greatest common factor 5416,2374 is 2.

Lets's calculate LCM of 41,946

Given numbers has no common factors except 1. So, there LCM is their product i.e 38786

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/38786

Therefore, the GCF of Fractions 5416/41,2374/946 is 2/38786

Least Common Multiple of 41,946 with GCF Formula

Least Common Multiple of 41,946 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 41,946 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,946) = 1

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

GCF(41,946) x common factors =1 x 1 = 1

LCM(41,946) = ( 41 × 946 ) / 1

LCM(41,946) = 38786 / 1

LCM(41,946) = 38786


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 5416/41, 2374/946

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 5416/41, 2374/946?

Answer: GCF of Numerators as per given numbers 5416/41, 2374/946 is

GCF of Numerators i.e. for 5416,2374 is 2

LCM of denominators i.e. for 41,946 is 38786.

Thus, GCF of Fractions is 2/38786.Finally, GCF of Fractions for 5416/41, 2374/946 is 2/38786.