Greatest Common Factor of 7825/700, 5400/392

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7825/700, 5400/392

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 7825/700,5400/392

Given fractions are 7825/700,5400/392

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 7825,5400

Greatest Common Factor of Numerators i.e. GCF of 7825,5400 is 25 .

LCM of Denominators means LCM of 700,392 as per the given fractions.

LCM of 700,392 is 9800 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7825,5400

GCF of Fractions 7825/700,5400/392 is 25/9800

5 7825, 5400
5 1565, 1080
313, 216

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

Greatest Common Factor of 7825,5400 By Matching Biggest Common Factor Method

Greatest Common Factor of 7825,5400 By Matching Biggest Common Factor Method

Factors of 7825

List of positive integer factors of 7825 that divides 7825 without a remainder.

1,5,25,313,1565,7825

Factors of 5400

List of positive integer factors of 5400 that divides 5400 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,25,27,30,36,40,45,50,54,60,72,75,90,100,108,120,135,150,180,200,216,225,270,300,360,450,540,600,675,900,1080,1350,1800,2700,5400

Greatest Common Factor

We found the factors 7825,5400 . The biggest common factor number is the GCF number.
So the greatest common factor 7825,5400 is 25.

Lets's calculate LCM of 700,392

2 700, 392
2 350, 196
7 175, 98
25, 14

∴ So the LCM of the given numbers is 2 x 2 x 7 x 25 x 14 = 9800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/9800

Therefore, the GCF of Fractions 7825/700,5400/392 is 25/9800

Least Common Multiple of 700,392 with GCF Formula

Least Common Multiple of 700,392 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 700,392 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(700,392) = 28

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

GCF(700,392) x common factors =28 x 1 = 28

LCM(700,392) = ( 700 × 392 ) / 28

LCM(700,392) = 274400 / 28

LCM(700,392) = 9800


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 7825/700, 5400/392

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 7825/700, 5400/392?

Answer: GCF of Numerators as per given numbers 7825/700, 5400/392 is

GCF of Numerators i.e. for 7825,5400 is 25

LCM of denominators i.e. for 700,392 is 9800.

Thus, GCF of Fractions is 25/9800.Finally, GCF of Fractions for 7825/700, 5400/392 is 25/9800.