Greatest Common Factor of 9435/64, 3706/677

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9435/64, 3706/677

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 9435/64,3706/677

Given fractions are 9435/64,3706/677

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 9435,3706

Greatest Common Factor of Numerators i.e. GCF of 9435,3706 is 17 .

LCM of Denominators means LCM of 64,677 as per the given fractions.

LCM of 64,677 is 43328 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9435,3706

GCF of Fractions 9435/64,3706/677 is 17/43328

17 9435, 3706
555, 218

∴ So the GCF of the given numbers is 17 = 17

Greatest Common Factor of 9435,3706 By Matching Biggest Common Factor Method

Greatest Common Factor of 9435,3706 By Matching Biggest Common Factor Method

Factors of 9435

List of positive integer factors of 9435 that divides 9435 without a remainder.

1,3,5,15,17,37,51,85,111,185,255,555,629,1887,3145,9435

Factors of 3706

List of positive integer factors of 3706 that divides 3706 without a remainder.

1,2,17,34,109,218,1853,3706

Greatest Common Factor

We found the factors 9435,3706 . The biggest common factor number is the GCF number.
So the greatest common factor 9435,3706 is 17.

Lets's calculate LCM of 64,677

Given numbers has no common factors except 1. So, there LCM is their product i.e 43328

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/43328

Therefore, the GCF of Fractions 9435/64,3706/677 is 17/43328

Least Common Multiple of 64,677 with GCF Formula

Least Common Multiple of 64,677 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 64,677 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,677) = 1

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

GCF(64,677) x common factors =1 x 1 = 1

LCM(64,677) = ( 64 × 677 ) / 1

LCM(64,677) = 43328 / 1

LCM(64,677) = 43328


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 9435/64, 3706/677

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 9435/64, 3706/677?

Answer: GCF of Numerators as per given numbers 9435/64, 3706/677 is

GCF of Numerators i.e. for 9435,3706 is 17

LCM of denominators i.e. for 64,677 is 43328.

Thus, GCF of Fractions is 17/43328.Finally, GCF of Fractions for 9435/64, 3706/677 is 17/43328.