Greatest Common Factor of 3698/55, 2924/301

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3698/55, 2924/301

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 3698/55,2924/301

Given fractions are 3698/55,2924/301

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 3698,2924

Greatest Common Factor of Numerators i.e. GCF of 3698,2924 is 86 .

LCM of Denominators means LCM of 55,301 as per the given fractions.

LCM of 55,301 is 16555 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3698,2924

GCF of Fractions 3698/55,2924/301 is 86/16555

2 3698, 2924
43 1849, 1462
43, 34

∴ So the GCF of the given numbers is 2 x 43 = 86

Greatest Common Factor of 3698,2924 By Matching Biggest Common Factor Method

Greatest Common Factor of 3698,2924 By Matching Biggest Common Factor Method

Factors of 3698

List of positive integer factors of 3698 that divides 3698 without a remainder.

1,2,43,86,1849,3698

Factors of 2924

List of positive integer factors of 2924 that divides 2924 without a remainder.

1,2,4,17,34,43,68,86,172,731,1462,2924

Greatest Common Factor

We found the factors 3698,2924 . The biggest common factor number is the GCF number.
So the greatest common factor 3698,2924 is 86.

Lets's calculate LCM of 55,301

Given numbers has no common factors except 1. So, there LCM is their product i.e 16555

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 86/16555

Therefore, the GCF of Fractions 3698/55,2924/301 is 86/16555

Least Common Multiple of 55,301 with GCF Formula

Least Common Multiple of 55,301 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 55,301 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,301) = 1

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

GCF(55,301) x common factors =1 x 1 = 1

LCM(55,301) = ( 55 × 301 ) / 1

LCM(55,301) = 16555 / 1

LCM(55,301) = 16555


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 3698/55, 2924/301

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 3698/55, 2924/301?

Answer: GCF of Numerators as per given numbers 3698/55, 2924/301 is

GCF of Numerators i.e. for 3698,2924 is 86

LCM of denominators i.e. for 55,301 is 16555.

Thus, GCF of Fractions is 86/16555.Finally, GCF of Fractions for 3698/55, 2924/301 is 86/16555.