Greatest Common Factor of 430/62, 680/58, 625/737

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 430/62, 680/58, 625/737

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 430/62,680/58,625/737

Given fractions are 430/62,680/58,625/737

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 430,680,625

Greatest Common Factor of Numerators i.e. GCF of 430,680,625 is 5 .

LCM of Denominators means LCM of 62,58,737 as per the given fractions.

LCM of 62,58,737 is 1325126 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 430,680,625

GCF of Fractions 430/62,680/58,625/737 is 5/1325126

5 430, 680, 625
86, 136, 125

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

Greatest Common Factor of 430,680,625 By Matching Biggest Common Factor Method

Greatest Common Factor of 430,680,625 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 680

List of positive integer factors of 680 that divides 680 without a remainder.

1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680

Factors of 625

List of positive integer factors of 625 that divides 625 without a remainder.

1,5,25,125,625

Greatest Common Factor

We found the factors 430,680,625 . The biggest common factor number is the GCF number.
So the greatest common factor 430,680,625 is 5.

Lets's calculate LCM of 62,58,737

2 62, 58, 737
31, 29, 737

∴ So the LCM of the given numbers is 2 x 31 x 29 x 737 = 1325126

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1325126

Therefore, the GCF of Fractions 430/62,680/58,625/737 is 5/1325126

Least Common Multiple of 62,58,737 with GCF Formula

Least Common Multiple of 62,58,737 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 62,58,737 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,58,737) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(62,58,737) x common factors =1 x 2 = 2

LCM(62,58,737) = ( 62 × 58 × 737 ) / 2

LCM(62,58,737) = 2650252 / 2

LCM(62,58,737) = 1325126


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 430/62, 680/58, 625/737

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 430/62, 680/58, 625/737?

Answer: GCF of Numerators as per given numbers 430/62, 680/58, 625/737 is

GCF of Numerators i.e. for 430,680,625 is 5

LCM of denominators i.e. for 62,58,737 is 1325126.

Thus, GCF of Fractions is 5/1325126.Finally, GCF of Fractions for 430/62, 680/58, 625/737 is 5/1325126.