Greatest Common Factor of 429/925, 1200/7207

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 429/925, 1200/7207

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 429/925,1200/7207

Given fractions are 429/925,1200/7207

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 429,1200

Greatest Common Factor of Numerators i.e. GCF of 429,1200 is 3 .

LCM of Denominators means LCM of 925,7207 as per the given fractions.

LCM of 925,7207 is 6666475 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 429,1200

GCF of Fractions 429/925,1200/7207 is 3/6666475

3 429, 1200
143, 400

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 429,1200 By Matching Biggest Common Factor Method

Greatest Common Factor of 429,1200 By Matching Biggest Common Factor Method

Factors of 429

List of positive integer factors of 429 that divides 429 without a remainder.

1,3,11,13,33,39,143,429

Factors of 1200

List of positive integer factors of 1200 that divides 1200 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,25,30,40,48,50,60,75,80,100,120,150,200,240,300,400,600,1200

Greatest Common Factor

We found the factors 429,1200 . The biggest common factor number is the GCF number.
So the greatest common factor 429,1200 is 3.

Lets's calculate LCM of 925,7207

Given numbers has no common factors except 1. So, there LCM is their product i.e 6666475

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/6666475

Therefore, the GCF of Fractions 429/925,1200/7207 is 3/6666475

Least Common Multiple of 925,7207 with GCF Formula

Least Common Multiple of 925,7207 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 925,7207 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(925,7207) = 1

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

GCF(925,7207) x common factors =1 x 1 = 1

LCM(925,7207) = ( 925 × 7207 ) / 1

LCM(925,7207) = 6666475 / 1

LCM(925,7207) = 6666475


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 429/925, 1200/7207

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 429/925, 1200/7207?

Answer: GCF of Numerators as per given numbers 429/925, 1200/7207 is

GCF of Numerators i.e. for 429,1200 is 3

LCM of denominators i.e. for 925,7207 is 6666475.

Thus, GCF of Fractions is 3/6666475.Finally, GCF of Fractions for 429/925, 1200/7207 is 3/6666475.