Greatest Common Factor of 3695/103, 5416/9285

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3695/103, 5416/9285

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 3695/103,5416/9285

Given fractions are 3695/103,5416/9285

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 3695,5416

Greatest Common Factor of Numerators i.e. GCF of 3695,5416 is 1 .

LCM of Denominators means LCM of 103,9285 as per the given fractions.

LCM of 103,9285 is 956355 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3695,5416

GCF of Fractions 3695/103,5416/9285 is 1/956355

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

Greatest Common Factor of 3695,5416 By Matching Biggest Common Factor Method

Greatest Common Factor of 3695,5416 By Matching Biggest Common Factor Method

Factors of 3695

List of positive integer factors of 3695 that divides 3695 without a remainder.

1,5,739,3695

Factors of 5416

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

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

Greatest Common Factor

We found the factors 3695,5416 . The biggest common factor number is the GCF number.
So the greatest common factor 3695,5416 is 1.

Lets's calculate LCM of 103,9285

Given numbers has no common factors except 1. So, there LCM is their product i.e 956355

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/956355

Therefore, the GCF of Fractions 3695/103,5416/9285 is 1/956355

Least Common Multiple of 103,9285 with GCF Formula

Least Common Multiple of 103,9285 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 103,9285 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(103,9285) = 1

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

GCF(103,9285) x common factors =1 x 1 = 1

LCM(103,9285) = ( 103 × 9285 ) / 1

LCM(103,9285) = 956355 / 1

LCM(103,9285) = 956355


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 3695/103, 5416/9285

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 3695/103, 5416/9285?

Answer: GCF of Numerators as per given numbers 3695/103, 5416/9285 is

GCF of Numerators i.e. for 3695,5416 is 1

LCM of denominators i.e. for 103,9285 is 956355.

Thus, GCF of Fractions is 1/956355.Finally, GCF of Fractions for 3695/103, 5416/9285 is 1/956355.