Greatest Common Factor of 1650/275, 7225/6451

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1650/275, 7225/6451

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 1650/275,7225/6451

Given fractions are 1650/275,7225/6451

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 1650,7225

Greatest Common Factor of Numerators i.e. GCF of 1650,7225 is 25 .

LCM of Denominators means LCM of 275,6451 as per the given fractions.

LCM of 275,6451 is 1774025 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1650,7225

GCF of Fractions 1650/275,7225/6451 is 25/1774025

5 1650, 7225
5 330, 1445
66, 289

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

Greatest Common Factor of 1650,7225 By Matching Biggest Common Factor Method

Greatest Common Factor of 1650,7225 By Matching Biggest Common Factor Method

Factors of 1650

List of positive integer factors of 1650 that divides 1650 without a remainder.

1,2,3,5,6,10,11,15,22,25,30,33,50,55,66,75,110,150,165,275,330,550,825,1650

Factors of 7225

List of positive integer factors of 7225 that divides 7225 without a remainder.

1,5,17,25,85,289,425,1445,7225

Greatest Common Factor

We found the factors 1650,7225 . The biggest common factor number is the GCF number.
So the greatest common factor 1650,7225 is 25.

Lets's calculate LCM of 275,6451

Given numbers has no common factors except 1. So, there LCM is their product i.e 1774025

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/1774025

Therefore, the GCF of Fractions 1650/275,7225/6451 is 25/1774025

Least Common Multiple of 275,6451 with GCF Formula

Least Common Multiple of 275,6451 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 275,6451 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(275,6451) = 1

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

GCF(275,6451) x common factors =1 x 1 = 1

LCM(275,6451) = ( 275 × 6451 ) / 1

LCM(275,6451) = 1774025 / 1

LCM(275,6451) = 1774025


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 1650/275, 7225/6451

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 1650/275, 7225/6451?

Answer: GCF of Numerators as per given numbers 1650/275, 7225/6451 is

GCF of Numerators i.e. for 1650,7225 is 25

LCM of denominators i.e. for 275,6451 is 1774025.

Thus, GCF of Fractions is 25/1774025.Finally, GCF of Fractions for 1650/275, 7225/6451 is 25/1774025.