Greatest Common Factor of 60/241, 406/770, 617/770

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 60/241, 406/770, 617/770

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 60/241,406/770,617/770

Given fractions are 60/241,406/770,617/770

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 60,406,617

Greatest Common Factor of Numerators i.e. GCF of 60,406,617 is 1 .

LCM of Denominators means LCM of 241,770,770 as per the given fractions.

LCM of 241,770,770 is 185570 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 60,406,617

GCF of Fractions 60/241,406/770,617/770 is 1/185570

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

Greatest Common Factor of 60,406,617 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,406,617 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 406

List of positive integer factors of 406 that divides 406 without a remainder.

1,2,7,14,29,58,203,406

Factors of 617

List of positive integer factors of 617 that divides 617 without a remainder.

1,617

Greatest Common Factor

We found the factors 60,406,617 . The biggest common factor number is the GCF number.
So the greatest common factor 60,406,617 is 1.

Lets's calculate LCM of 241,770,770

2 241, 770, 770
5 241, 385, 385
7 241, 77, 77
11 241, 11, 11
241, 1, 1

∴ So the LCM of the given numbers is 2 x 5 x 7 x 11 x 241 x 1 x 1 = 185570

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/185570

Therefore, the GCF of Fractions 60/241,406/770,617/770 is 1/185570

Least Common Multiple of 241,770,770 with GCF Formula

Least Common Multiple of 241,770,770 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 241,770,770 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(241,770,770) = 1

common factors(in case of two or more numbers have common factors) = 770

GCF(241,770,770) x common factors =1 x 770 = 770

LCM(241,770,770) = ( 241 × 770 × 770 ) / 770

LCM(241,770,770) = 142888900 / 770

LCM(241,770,770) = 185570


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 60/241, 406/770, 617/770

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 60/241, 406/770, 617/770?

Answer: GCF of Numerators as per given numbers 60/241, 406/770, 617/770 is

GCF of Numerators i.e. for 60,406,617 is 1

LCM of denominators i.e. for 241,770,770 is 185570.

Thus, GCF of Fractions is 1/185570.Finally, GCF of Fractions for 60/241, 406/770, 617/770 is 1/185570.