Greatest Common Factor of 3697/362, 8636/5948

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3697/362, 8636/5948

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 3697/362,8636/5948

Given fractions are 3697/362,8636/5948

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 3697,8636

Greatest Common Factor of Numerators i.e. GCF of 3697,8636 is 1 .

LCM of Denominators means LCM of 362,5948 as per the given fractions.

LCM of 362,5948 is 1076588 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3697,8636

GCF of Fractions 3697/362,8636/5948 is 1/1076588

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

Greatest Common Factor of 3697,8636 By Matching Biggest Common Factor Method

Greatest Common Factor of 3697,8636 By Matching Biggest Common Factor Method

Factors of 3697

List of positive integer factors of 3697 that divides 3697 without a remainder.

1,3697

Factors of 8636

List of positive integer factors of 8636 that divides 8636 without a remainder.

1,2,4,17,34,68,127,254,508,2159,4318,8636

Greatest Common Factor

We found the factors 3697,8636 . The biggest common factor number is the GCF number.
So the greatest common factor 3697,8636 is 1.

Lets's calculate LCM of 362,5948

2 362, 5948
181, 2974

∴ So the LCM of the given numbers is 2 x 181 x 2974 = 1076588

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1076588

Therefore, the GCF of Fractions 3697/362,8636/5948 is 1/1076588

Least Common Multiple of 362,5948 with GCF Formula

Least Common Multiple of 362,5948 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 362,5948 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(362,5948) = 2

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

GCF(362,5948) x common factors =2 x 1 = 2

LCM(362,5948) = ( 362 × 5948 ) / 2

LCM(362,5948) = 2153176 / 2

LCM(362,5948) = 1076588


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 3697/362, 8636/5948

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 3697/362, 8636/5948?

Answer: GCF of Numerators as per given numbers 3697/362, 8636/5948 is

GCF of Numerators i.e. for 3697,8636 is 1

LCM of denominators i.e. for 362,5948 is 1076588.

Thus, GCF of Fractions is 1/1076588.Finally, GCF of Fractions for 3697/362, 8636/5948 is 1/1076588.