Greatest Common Factor of 430/56, 530/68, 825/31

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 430/56, 530/68, 825/31

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 430/56,530/68,825/31

Given fractions are 430/56,530/68,825/31

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 430,530,825

Greatest Common Factor of Numerators i.e. GCF of 430,530,825 is 5 .

LCM of Denominators means LCM of 56,68,31 as per the given fractions.

LCM of 56,68,31 is 29512 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 430,530,825

GCF of Fractions 430/56,530/68,825/31 is 5/29512

5 430, 530, 825
86, 106, 165

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

Greatest Common Factor of 430,530,825 By Matching Biggest Common Factor Method

Greatest Common Factor of 430,530,825 By Matching Biggest Common Factor Method

Factors of 430

List of positive integer factors of 430 that divides 430 without a remainder.

1,2,5,10,43,86,215,430

Factors of 530

List of positive integer factors of 530 that divides 530 without a remainder.

1,2,5,10,53,106,265,530

Factors of 825

List of positive integer factors of 825 that divides 825 without a remainder.

1,3,5,11,15,25,33,55,75,165,275,825

Greatest Common Factor

We found the factors 430,530,825 . The biggest common factor number is the GCF number.
So the greatest common factor 430,530,825 is 5.

Lets's calculate LCM of 56,68,31

2 56, 68, 31
2 28, 34, 31
14, 17, 31

∴ So the LCM of the given numbers is 2 x 2 x 14 x 17 x 31 = 29512

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/29512

Therefore, the GCF of Fractions 430/56,530/68,825/31 is 5/29512

Least Common Multiple of 56,68,31 with GCF Formula

Least Common Multiple of 56,68,31 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 56,68,31 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,68,31) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(56,68,31) x common factors =1 x 4 = 4

LCM(56,68,31) = ( 56 × 68 × 31 ) / 4

LCM(56,68,31) = 118048 / 4

LCM(56,68,31) = 29512


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 430/56, 530/68, 825/31

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 430/56, 530/68, 825/31?

Answer: GCF of Numerators as per given numbers 430/56, 530/68, 825/31 is

GCF of Numerators i.e. for 430,530,825 is 5

LCM of denominators i.e. for 56,68,31 is 29512.

Thus, GCF of Fractions is 5/29512.Finally, GCF of Fractions for 430/56, 530/68, 825/31 is 5/29512.