Greatest Common Factor of 250/642, 420/648

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 250/642, 420/648

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 250/642,420/648

Given fractions are 250/642,420/648

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 250,420

Greatest Common Factor of Numerators i.e. GCF of 250,420 is 10 .

LCM of Denominators means LCM of 642,648 as per the given fractions.

LCM of 642,648 is 69336 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 250,420

GCF of Fractions 250/642,420/648 is 10/69336

2 250, 420
5 125, 210
25, 42

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 250,420 By Matching Biggest Common Factor Method

Greatest Common Factor of 250,420 By Matching Biggest Common Factor Method

Factors of 250

List of positive integer factors of 250 that divides 250 without a remainder.

1,2,5,10,25,50,125,250

Factors of 420

List of positive integer factors of 420 that divides 420 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420

Greatest Common Factor

We found the factors 250,420 . The biggest common factor number is the GCF number.
So the greatest common factor 250,420 is 10.

Lets's calculate LCM of 642,648

2 642, 648
3 321, 324
107, 108

∴ So the LCM of the given numbers is 2 x 3 x 107 x 108 = 69336

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/69336

Therefore, the GCF of Fractions 250/642,420/648 is 10/69336

Least Common Multiple of 642,648 with GCF Formula

Least Common Multiple of 642,648 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 642,648 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(642,648) = 6

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

GCF(642,648) x common factors =6 x 1 = 6

LCM(642,648) = ( 642 × 648 ) / 6

LCM(642,648) = 416016 / 6

LCM(642,648) = 69336


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 250/642, 420/648

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 250/642, 420/648?

Answer: GCF of Numerators as per given numbers 250/642, 420/648 is

GCF of Numerators i.e. for 250,420 is 10

LCM of denominators i.e. for 642,648 is 69336.

Thus, GCF of Fractions is 10/69336.Finally, GCF of Fractions for 250/642, 420/648 is 10/69336.