Greatest Common Factor of 428/70, 514/24, 525/104

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 428/70, 514/24, 525/104

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 428/70,514/24,525/104

Given fractions are 428/70,514/24,525/104

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 428,514,525

Greatest Common Factor of Numerators i.e. GCF of 428,514,525 is 1 .

LCM of Denominators means LCM of 70,24,104 as per the given fractions.

LCM of 70,24,104 is 10920 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 428,514,525

GCF of Fractions 428/70,514/24,525/104 is 1/10920

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

Greatest Common Factor of 428,514,525 By Matching Biggest Common Factor Method

Greatest Common Factor of 428,514,525 By Matching Biggest Common Factor Method

Factors of 428

List of positive integer factors of 428 that divides 428 without a remainder.

1,2,4,107,214,428

Factors of 514

List of positive integer factors of 514 that divides 514 without a remainder.

1,2,257,514

Factors of 525

List of positive integer factors of 525 that divides 525 without a remainder.

1,3,5,7,15,21,25,35,75,105,175,525

Greatest Common Factor

We found the factors 428,514,525 . The biggest common factor number is the GCF number.
So the greatest common factor 428,514,525 is 1.

Lets's calculate LCM of 70,24,104

2 70, 24, 104
2 35, 12, 52
2 35, 6, 26
35, 3, 13

∴ So the LCM of the given numbers is 2 x 2 x 2 x 35 x 3 x 13 = 10920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10920

Therefore, the GCF of Fractions 428/70,514/24,525/104 is 1/10920

Least Common Multiple of 70,24,104 with GCF Formula

Least Common Multiple of 70,24,104 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 70,24,104 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,24,104) = 2

common factors(in case of two or more numbers have common factors) = 8

GCF(70,24,104) x common factors =2 x 8 = 16

LCM(70,24,104) = ( 70 × 24 × 104 ) / 16

LCM(70,24,104) = 174720 / 16

LCM(70,24,104) = 10920


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 428/70, 514/24, 525/104

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 428/70, 514/24, 525/104?

Answer: GCF of Numerators as per given numbers 428/70, 514/24, 525/104 is

GCF of Numerators i.e. for 428,514,525 is 1

LCM of denominators i.e. for 70,24,104 is 10920.

Thus, GCF of Fractions is 1/10920.Finally, GCF of Fractions for 428/70, 514/24, 525/104 is 1/10920.