Greatest Common Factor of 1025/30, 2100/624

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1025/30, 2100/624

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 1025/30,2100/624

Given fractions are 1025/30,2100/624

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 1025,2100

Greatest Common Factor of Numerators i.e. GCF of 1025,2100 is 25 .

LCM of Denominators means LCM of 30,624 as per the given fractions.

LCM of 30,624 is 3120 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1025,2100

GCF of Fractions 1025/30,2100/624 is 25/3120

5 1025, 2100
5 205, 420
41, 84

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

Greatest Common Factor of 1025,2100 By Matching Biggest Common Factor Method

Greatest Common Factor of 1025,2100 By Matching Biggest Common Factor Method

Factors of 1025

List of positive integer factors of 1025 that divides 1025 without a remainder.

1,5,25,41,205,1025

Factors of 2100

List of positive integer factors of 2100 that divides 2100 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,25,28,30,35,42,50,60,70,75,84,100,105,140,150,175,210,300,350,420,525,700,1050,2100

Greatest Common Factor

We found the factors 1025,2100 . The biggest common factor number is the GCF number.
So the greatest common factor 1025,2100 is 25.

Lets's calculate LCM of 30,624

2 30, 624
3 15, 312
5, 104

∴ So the LCM of the given numbers is 2 x 3 x 5 x 104 = 3120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/3120

Therefore, the GCF of Fractions 1025/30,2100/624 is 25/3120

Least Common Multiple of 30,624 with GCF Formula

Least Common Multiple of 30,624 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 30,624 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,624) = 6

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

GCF(30,624) x common factors =6 x 1 = 6

LCM(30,624) = ( 30 × 624 ) / 6

LCM(30,624) = 18720 / 6

LCM(30,624) = 3120


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 1025/30, 2100/624

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 1025/30, 2100/624?

Answer: GCF of Numerators as per given numbers 1025/30, 2100/624 is

GCF of Numerators i.e. for 1025,2100 is 25

LCM of denominators i.e. for 30,624 is 3120.

Thus, GCF of Fractions is 25/3120.Finally, GCF of Fractions for 1025/30, 2100/624 is 25/3120.