Greatest Common Factor of 9710/663, 2472/473

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 9710/663, 2472/473

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 9710/663,2472/473

Given fractions are 9710/663,2472/473

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 9710,2472

Greatest Common Factor of Numerators i.e. GCF of 9710,2472 is 2 .

LCM of Denominators means LCM of 663,473 as per the given fractions.

LCM of 663,473 is 313599 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9710,2472

GCF of Fractions 9710/663,2472/473 is 2/313599

2 9710, 2472
4855, 1236

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 9710,2472 By Matching Biggest Common Factor Method

Greatest Common Factor of 9710,2472 By Matching Biggest Common Factor Method

Factors of 9710

List of positive integer factors of 9710 that divides 9710 without a remainder.

1,2,5,10,971,1942,4855,9710

Factors of 2472

List of positive integer factors of 2472 that divides 2472 without a remainder.

1,2,3,4,6,8,12,24,103,206,309,412,618,824,1236,2472

Greatest Common Factor

We found the factors 9710,2472 . The biggest common factor number is the GCF number.
So the greatest common factor 9710,2472 is 2.


Lets's calculate LCM of 663,473

Given numbers has no common factors except 1. So, there LCM is their product i.e 313599

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/313599

Therefore, the GCF of Fractions 9710/663,2472/473 is 2/313599

Least Common Multiple of 663,473 with GCF Formula

Least Common Multiple of 663,473 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 663,473 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(663,473) = 1

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

GCF(663,473) x common factors =1 x 1 = 1

LCM(663,473) = ( 663 × 473 ) / 1

LCM(663,473) = 313599 / 1

LCM(663,473) = 313599


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 9710/663, 2472/473

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 9710/663, 2472/473?

Answer: GCF of Numerators as per given numbers 9710/663, 2472/473 is

GCF of Numerators i.e. for 9710,2472 is 2

LCM of denominators i.e. for 663,473 is 313599.

Thus, GCF of Fractions is 2/313599.Finally, GCF of Fractions for 9710/663, 2472/473 is 2/313599.