Greatest Common Factor of 450/38, 625/7636

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 450/38, 625/7636

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 450/38,625/7636

Given fractions are 450/38,625/7636

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 450,625

Greatest Common Factor of Numerators i.e. GCF of 450,625 is 25 .

LCM of Denominators means LCM of 38,7636 as per the given fractions.

LCM of 38,7636 is 145084 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 450,625

GCF of Fractions 450/38,625/7636 is 25/145084

5 450, 625
5 90, 125
18, 25

∴ So the GCF of the given numbers is 5 x 5 = 25

Greatest Common Factor of 450,625 By Matching Biggest Common Factor Method

Greatest Common Factor of 450,625 By Matching Biggest Common Factor Method

Factors of 450

List of positive integer factors of 450 that divides 450 without a remainder.

1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450

Factors of 625

List of positive integer factors of 625 that divides 625 without a remainder.

1,5,25,125,625

Greatest Common Factor

We found the factors 450,625 . The biggest common factor number is the GCF number.
So the greatest common factor 450,625 is 25.

Lets's calculate LCM of 38,7636

2 38, 7636
19, 3818

∴ So the LCM of the given numbers is 2 x 19 x 3818 = 145084

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/145084

Therefore, the GCF of Fractions 450/38,625/7636 is 25/145084

Least Common Multiple of 38,7636 with GCF Formula

Least Common Multiple of 38,7636 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 38,7636 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,7636) = 2

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

GCF(38,7636) x common factors =2 x 1 = 2

LCM(38,7636) = ( 38 × 7636 ) / 2

LCM(38,7636) = 290168 / 2

LCM(38,7636) = 145084


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 450/38, 625/7636

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 450/38, 625/7636?

Answer: GCF of Numerators as per given numbers 450/38, 625/7636 is

GCF of Numerators i.e. for 450,625 is 25

LCM of denominators i.e. for 38,7636 is 145084.

Thus, GCF of Fractions is 25/145084.Finally, GCF of Fractions for 450/38, 625/7636 is 25/145084.