Greatest Common Factor of 7180/761, 1705/234

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7180/761, 1705/234

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 7180/761,1705/234

Given fractions are 7180/761,1705/234

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 7180,1705

Greatest Common Factor of Numerators i.e. GCF of 7180,1705 is 5 .

LCM of Denominators means LCM of 761,234 as per the given fractions.

LCM of 761,234 is 178074 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7180,1705

GCF of Fractions 7180/761,1705/234 is 5/178074

5 7180, 1705
1436, 341

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

Greatest Common Factor of 7180,1705 By Matching Biggest Common Factor Method

Greatest Common Factor of 7180,1705 By Matching Biggest Common Factor Method

Factors of 7180

List of positive integer factors of 7180 that divides 7180 without a remainder.

1,2,4,5,10,20,359,718,1436,1795,3590,7180

Factors of 1705

List of positive integer factors of 1705 that divides 1705 without a remainder.

1,5,11,31,55,155,341,1705

Greatest Common Factor

We found the factors 7180,1705 . The biggest common factor number is the GCF number.
So the greatest common factor 7180,1705 is 5.

Lets's calculate LCM of 761,234

Given numbers has no common factors except 1. So, there LCM is their product i.e 178074

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/178074

Therefore, the GCF of Fractions 7180/761,1705/234 is 5/178074

Least Common Multiple of 761,234 with GCF Formula

Least Common Multiple of 761,234 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 761,234 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(761,234) = 1

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

GCF(761,234) x common factors =1 x 1 = 1

LCM(761,234) = ( 761 × 234 ) / 1

LCM(761,234) = 178074 / 1

LCM(761,234) = 178074


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 7180/761, 1705/234

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 7180/761, 1705/234?

Answer: GCF of Numerators as per given numbers 7180/761, 1705/234 is

GCF of Numerators i.e. for 7180,1705 is 5

LCM of denominators i.e. for 761,234 is 178074.

Thus, GCF of Fractions is 5/178074.Finally, GCF of Fractions for 7180/761, 1705/234 is 5/178074.