Greatest Common Factor of 648/350, 9804/427

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 648/350, 9804/427

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 648/350,9804/427

Given fractions are 648/350,9804/427

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 648,9804

Greatest Common Factor of Numerators i.e. GCF of 648,9804 is 12 .

LCM of Denominators means LCM of 350,427 as per the given fractions.

LCM of 350,427 is 21350 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 648,9804

GCF of Fractions 648/350,9804/427 is 12/21350

2 648, 9804
2 324, 4902
3 162, 2451
54, 817

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 648,9804 By Matching Biggest Common Factor Method

Greatest Common Factor of 648,9804 By Matching Biggest Common Factor Method

Factors of 648

List of positive integer factors of 648 that divides 648 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648

Factors of 9804

List of positive integer factors of 9804 that divides 9804 without a remainder.

1,2,3,4,6,12,19,38,43,57,76,86,114,129,172,228,258,516,817,1634,2451,3268,4902,9804

Greatest Common Factor

We found the factors 648,9804 . The biggest common factor number is the GCF number.
So the greatest common factor 648,9804 is 12.

Lets's calculate LCM of 350,427

7 350, 427
50, 61

∴ So the LCM of the given numbers is 7 x 50 x 61 = 21350

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/21350

Therefore, the GCF of Fractions 648/350,9804/427 is 12/21350

Least Common Multiple of 350,427 with GCF Formula

Least Common Multiple of 350,427 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 350,427 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(350,427) = 7

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

GCF(350,427) x common factors =7 x 1 = 7

LCM(350,427) = ( 350 × 427 ) / 7

LCM(350,427) = 149450 / 7

LCM(350,427) = 21350


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 648/350, 9804/427

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 648/350, 9804/427?

Answer: GCF of Numerators as per given numbers 648/350, 9804/427 is

GCF of Numerators i.e. for 648,9804 is 12

LCM of denominators i.e. for 350,427 is 21350.

Thus, GCF of Fractions is 12/21350.Finally, GCF of Fractions for 648/350, 9804/427 is 12/21350.