Greatest Common Factor of 7526/425, 7400/1890

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7526/425, 7400/1890

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 7526/425,7400/1890

Given fractions are 7526/425,7400/1890

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 7526,7400

Greatest Common Factor of Numerators i.e. GCF of 7526,7400 is 2 .

LCM of Denominators means LCM of 425,1890 as per the given fractions.

LCM of 425,1890 is 160650 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7526,7400

GCF of Fractions 7526/425,7400/1890 is 2/160650

2 7526, 7400
3763, 3700

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

Greatest Common Factor of 7526,7400 By Matching Biggest Common Factor Method

Greatest Common Factor of 7526,7400 By Matching Biggest Common Factor Method

Factors of 7526

List of positive integer factors of 7526 that divides 7526 without a remainder.

1,2,53,71,106,142,3763,7526

Factors of 7400

List of positive integer factors of 7400 that divides 7400 without a remainder.

1,2,4,5,8,10,20,25,37,40,50,74,100,148,185,200,296,370,740,925,1480,1850,3700,7400

Greatest Common Factor

We found the factors 7526,7400 . The biggest common factor number is the GCF number.
So the greatest common factor 7526,7400 is 2.

Lets's calculate LCM of 425,1890

5 425, 1890
85, 378

∴ So the LCM of the given numbers is 5 x 85 x 378 = 160650

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/160650

Therefore, the GCF of Fractions 7526/425,7400/1890 is 2/160650

Least Common Multiple of 425,1890 with GCF Formula

Least Common Multiple of 425,1890 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 425,1890 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(425,1890) = 5

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

GCF(425,1890) x common factors =5 x 1 = 5

LCM(425,1890) = ( 425 × 1890 ) / 5

LCM(425,1890) = 803250 / 5

LCM(425,1890) = 160650


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 7526/425, 7400/1890

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 7526/425, 7400/1890?

Answer: GCF of Numerators as per given numbers 7526/425, 7400/1890 is

GCF of Numerators i.e. for 7526,7400 is 2

LCM of denominators i.e. for 425,1890 is 160650.

Thus, GCF of Fractions is 2/160650.Finally, GCF of Fractions for 7526/425, 7400/1890 is 2/160650.