Greatest Common Factor of 350/800, 252/530, 275/400

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 350/800, 252/530, 275/400

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 350/800,252/530,275/400

Given fractions are 350/800,252/530,275/400

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 350,252,275

Greatest Common Factor of Numerators i.e. GCF of 350,252,275 is 1 .

LCM of Denominators means LCM of 800,530,400 as per the given fractions.

LCM of 800,530,400 is 42400 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 350,252,275

GCF of Fractions 350/800,252/530,275/400 is 1/42400

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 350,252,275 By Matching Biggest Common Factor Method

Greatest Common Factor of 350,252,275 By Matching Biggest Common Factor Method

Factors of 350

List of positive integer factors of 350 that divides 350 without a remainder.

1,2,5,7,10,14,25,35,50,70,175,350

Factors of 252

List of positive integer factors of 252 that divides 252 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252

Factors of 275

List of positive integer factors of 275 that divides 275 without a remainder.

1,5,11,25,55,275

Greatest Common Factor

We found the factors 350,252,275 . The biggest common factor number is the GCF number.
So the greatest common factor 350,252,275 is 1.

Lets's calculate LCM of 800,530,400

2 800, 530, 400
2 400, 265, 200
2 100, 265, 200
2 50, 265, 100
5 25, 265, 50
5 5, 53, 10
1, 53, 2

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 5 x 5 x 1 x 53 x 2 = 42400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/42400

Therefore, the GCF of Fractions 350/800,252/530,275/400 is 1/42400

Least Common Multiple of 800,530,400 with GCF Formula

Least Common Multiple of 800,530,400 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 800,530,400 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(800,530,400) = 10

common factors(in case of two or more numbers have common factors) = 400

GCF(800,530,400) x common factors =10 x 400 = 4000

LCM(800,530,400) = ( 800 × 530 × 400 ) / 4000

LCM(800,530,400) = 169600000 / 4000

LCM(800,530,400) = 42400


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 350/800, 252/530, 275/400

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 350/800, 252/530, 275/400?

Answer: GCF of Numerators as per given numbers 350/800, 252/530, 275/400 is

GCF of Numerators i.e. for 350,252,275 is 1

LCM of denominators i.e. for 800,530,400 is 42400.

Thus, GCF of Fractions is 1/42400.Finally, GCF of Fractions for 350/800, 252/530, 275/400 is 1/42400.