Greatest Common Factor of 2825/254, 2200/7483

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2825/254, 2200/7483

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 2825/254,2200/7483

Given fractions are 2825/254,2200/7483

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 2825,2200

Greatest Common Factor of Numerators i.e. GCF of 2825,2200 is 25 .

LCM of Denominators means LCM of 254,7483 as per the given fractions.

LCM of 254,7483 is 1900682 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2825,2200

GCF of Fractions 2825/254,2200/7483 is 25/1900682

5 2825, 2200
5 565, 440
113, 88

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

Greatest Common Factor of 2825,2200 By Matching Biggest Common Factor Method

Greatest Common Factor of 2825,2200 By Matching Biggest Common Factor Method

Factors of 2825

List of positive integer factors of 2825 that divides 2825 without a remainder.

1,5,25,113,565,2825

Factors of 2200

List of positive integer factors of 2200 that divides 2200 without a remainder.

1,2,4,5,8,10,11,20,22,25,40,44,50,55,88,100,110,200,220,275,440,550,1100,2200

Greatest Common Factor

We found the factors 2825,2200 . The biggest common factor number is the GCF number.
So the greatest common factor 2825,2200 is 25.

Lets's calculate LCM of 254,7483

Given numbers has no common factors except 1. So, there LCM is their product i.e 1900682

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/1900682

Therefore, the GCF of Fractions 2825/254,2200/7483 is 25/1900682

Least Common Multiple of 254,7483 with GCF Formula

Least Common Multiple of 254,7483 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 254,7483 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(254,7483) = 1

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

GCF(254,7483) x common factors =1 x 1 = 1

LCM(254,7483) = ( 254 × 7483 ) / 1

LCM(254,7483) = 1900682 / 1

LCM(254,7483) = 1900682


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 2825/254, 2200/7483

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 2825/254, 2200/7483?

Answer: GCF of Numerators as per given numbers 2825/254, 2200/7483 is

GCF of Numerators i.e. for 2825,2200 is 25

LCM of denominators i.e. for 254,7483 is 1900682.

Thus, GCF of Fractions is 25/1900682.Finally, GCF of Fractions for 2825/254, 2200/7483 is 25/1900682.