Greatest Common Factor of 5625/844, 4825/2775

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5625/844, 4825/2775

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 5625/844,4825/2775

Given fractions are 5625/844,4825/2775

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 5625,4825

Greatest Common Factor of Numerators i.e. GCF of 5625,4825 is 25 .

LCM of Denominators means LCM of 844,2775 as per the given fractions.

LCM of 844,2775 is 2342100 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5625,4825

GCF of Fractions 5625/844,4825/2775 is 25/2342100

5 5625, 4825
5 1125, 965
225, 193

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

Greatest Common Factor of 5625,4825 By Matching Biggest Common Factor Method

Greatest Common Factor of 5625,4825 By Matching Biggest Common Factor Method

Factors of 5625

List of positive integer factors of 5625 that divides 5625 without a remainder.

1,3,5,9,15,25,45,75,125,225,375,625,1125,1875,5625

Factors of 4825

List of positive integer factors of 4825 that divides 4825 without a remainder.

1,5,25,193,965,4825

Greatest Common Factor

We found the factors 5625,4825 . The biggest common factor number is the GCF number.
So the greatest common factor 5625,4825 is 25.

Lets's calculate LCM of 844,2775

Given numbers has no common factors except 1. So, there LCM is their product i.e 2342100

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/2342100

Therefore, the GCF of Fractions 5625/844,4825/2775 is 25/2342100

Least Common Multiple of 844,2775 with GCF Formula

Least Common Multiple of 844,2775 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 844,2775 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(844,2775) = 1

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

GCF(844,2775) x common factors =1 x 1 = 1

LCM(844,2775) = ( 844 × 2775 ) / 1

LCM(844,2775) = 2342100 / 1

LCM(844,2775) = 2342100


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 5625/844, 4825/2775

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 5625/844, 4825/2775?

Answer: GCF of Numerators as per given numbers 5625/844, 4825/2775 is

GCF of Numerators i.e. for 5625,4825 is 25

LCM of denominators i.e. for 844,2775 is 2342100.

Thus, GCF of Fractions is 25/2342100.Finally, GCF of Fractions for 5625/844, 4825/2775 is 25/2342100.