Greatest Common Factor of 670/29, 674/59, 829/145

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 670/29, 674/59, 829/145

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 670/29,674/59,829/145

Given fractions are 670/29,674/59,829/145

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 670,674,829

Greatest Common Factor of Numerators i.e. GCF of 670,674,829 is 1 .

LCM of Denominators means LCM of 29,59,145 as per the given fractions.

LCM of 29,59,145 is 8555 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 670,674,829

GCF of Fractions 670/29,674/59,829/145 is 1/8555

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

Greatest Common Factor of 670,674,829 By Matching Biggest Common Factor Method

Greatest Common Factor of 670,674,829 By Matching Biggest Common Factor Method

Factors of 670

List of positive integer factors of 670 that divides 670 without a remainder.

1,2,5,10,67,134,335,670

Factors of 674

List of positive integer factors of 674 that divides 674 without a remainder.

1,2,337,674

Factors of 829

List of positive integer factors of 829 that divides 829 without a remainder.

1,829

Greatest Common Factor

We found the factors 670,674,829 . The biggest common factor number is the GCF number.
So the greatest common factor 670,674,829 is 1.

Lets's calculate LCM of 29,59,145

29 29, 59, 145
1, 59, 5

∴ So the LCM of the given numbers is 29 x 1 x 59 x 5 = 8555

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8555

Therefore, the GCF of Fractions 670/29,674/59,829/145 is 1/8555

Least Common Multiple of 29,59,145 with GCF Formula

Least Common Multiple of 29,59,145 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 29,59,145 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,59,145) = 1

common factors(in case of two or more numbers have common factors) = 29

GCF(29,59,145) x common factors =1 x 29 = 29

LCM(29,59,145) = ( 29 × 59 × 145 ) / 29

LCM(29,59,145) = 248095 / 29

LCM(29,59,145) = 8555


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 670/29, 674/59, 829/145

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 670/29, 674/59, 829/145?

Answer: GCF of Numerators as per given numbers 670/29, 674/59, 829/145 is

GCF of Numerators i.e. for 670,674,829 is 1

LCM of denominators i.e. for 29,59,145 is 8555.

Thus, GCF of Fractions is 1/8555.Finally, GCF of Fractions for 670/29, 674/59, 829/145 is 1/8555.