Greatest Common Factor of 9714/762, 8805/193

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9714/762, 8805/193

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 9714/762,8805/193

Given fractions are 9714/762,8805/193

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 9714,8805

Greatest Common Factor of Numerators i.e. GCF of 9714,8805 is 3 .

LCM of Denominators means LCM of 762,193 as per the given fractions.

LCM of 762,193 is 147066 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9714,8805

GCF of Fractions 9714/762,8805/193 is 3/147066

3 9714, 8805
3238, 2935

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 9714,8805 By Matching Biggest Common Factor Method

Greatest Common Factor of 9714,8805 By Matching Biggest Common Factor Method

Factors of 9714

List of positive integer factors of 9714 that divides 9714 without a remainder.

1,2,3,6,1619,3238,4857,9714

Factors of 8805

List of positive integer factors of 8805 that divides 8805 without a remainder.

1,3,5,15,587,1761,2935,8805

Greatest Common Factor

We found the factors 9714,8805 . The biggest common factor number is the GCF number.
So the greatest common factor 9714,8805 is 3.

Lets's calculate LCM of 762,193

Given numbers has no common factors except 1. So, there LCM is their product i.e 147066

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/147066

Therefore, the GCF of Fractions 9714/762,8805/193 is 3/147066

Least Common Multiple of 762,193 with GCF Formula

Least Common Multiple of 762,193 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 762,193 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(762,193) = 1

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

GCF(762,193) x common factors =1 x 1 = 1

LCM(762,193) = ( 762 × 193 ) / 1

LCM(762,193) = 147066 / 1

LCM(762,193) = 147066


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 9714/762, 8805/193

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 9714/762, 8805/193?

Answer: GCF of Numerators as per given numbers 9714/762, 8805/193 is

GCF of Numerators i.e. for 9714,8805 is 3

LCM of denominators i.e. for 762,193 is 147066.

Thus, GCF of Fractions is 3/147066.Finally, GCF of Fractions for 9714/762, 8805/193 is 3/147066.