Greatest Common Factor of 580/430, 7451/830

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 580/430, 7451/830

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 580/430,7451/830

Given fractions are 580/430,7451/830

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 580,7451

Greatest Common Factor of Numerators i.e. GCF of 580,7451 is 1 .

LCM of Denominators means LCM of 430,830 as per the given fractions.

LCM of 430,830 is 35690 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 580,7451

GCF of Fractions 580/430,7451/830 is 1/35690

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

Greatest Common Factor of 580,7451 By Matching Biggest Common Factor Method

Greatest Common Factor of 580,7451 By Matching Biggest Common Factor Method

Factors of 580

List of positive integer factors of 580 that divides 580 without a remainder.

1,2,4,5,10,20,29,58,116,145,290,580

Factors of 7451

List of positive integer factors of 7451 that divides 7451 without a remainder.

1,7451

Greatest Common Factor

We found the factors 580,7451 . The biggest common factor number is the GCF number.
So the greatest common factor 580,7451 is 1.

Lets's calculate LCM of 430,830

2 430, 830
5 215, 415
43, 83

∴ So the LCM of the given numbers is 2 x 5 x 43 x 83 = 35690

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35690

Therefore, the GCF of Fractions 580/430,7451/830 is 1/35690

Least Common Multiple of 430,830 with GCF Formula

Least Common Multiple of 430,830 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 430,830 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(430,830) = 10

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

GCF(430,830) x common factors =10 x 1 = 10

LCM(430,830) = ( 430 × 830 ) / 10

LCM(430,830) = 356900 / 10

LCM(430,830) = 35690


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 580/430, 7451/830

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 580/430, 7451/830?

Answer: GCF of Numerators as per given numbers 580/430, 7451/830 is

GCF of Numerators i.e. for 580,7451 is 1

LCM of denominators i.e. for 430,830 is 35690.

Thus, GCF of Fractions is 1/35690.Finally, GCF of Fractions for 580/430, 7451/830 is 1/35690.