Greatest Common Factor of 2345/704, 3053/180

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2345/704, 3053/180

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 2345/704,3053/180

Given fractions are 2345/704,3053/180

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 2345,3053

Greatest Common Factor of Numerators i.e. GCF of 2345,3053 is 1 .

LCM of Denominators means LCM of 704,180 as per the given fractions.

LCM of 704,180 is 31680 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2345,3053

GCF of Fractions 2345/704,3053/180 is 1/31680

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

Greatest Common Factor of 2345,3053 By Matching Biggest Common Factor Method

Greatest Common Factor of 2345,3053 By Matching Biggest Common Factor Method

Factors of 2345

List of positive integer factors of 2345 that divides 2345 without a remainder.

1,5,7,35,67,335,469,2345

Factors of 3053

List of positive integer factors of 3053 that divides 3053 without a remainder.

1,43,71,3053

Greatest Common Factor

We found the factors 2345,3053 . The biggest common factor number is the GCF number.
So the greatest common factor 2345,3053 is 1.

Lets's calculate LCM of 704,180

2 704, 180
2 352, 90
176, 45

∴ So the LCM of the given numbers is 2 x 2 x 176 x 45 = 31680

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/31680

Therefore, the GCF of Fractions 2345/704,3053/180 is 1/31680

Least Common Multiple of 704,180 with GCF Formula

Least Common Multiple of 704,180 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 704,180 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(704,180) = 4

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

GCF(704,180) x common factors =4 x 1 = 4

LCM(704,180) = ( 704 × 180 ) / 4

LCM(704,180) = 126720 / 4

LCM(704,180) = 31680


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 2345/704, 3053/180

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 2345/704, 3053/180?

Answer: GCF of Numerators as per given numbers 2345/704, 3053/180 is

GCF of Numerators i.e. for 2345,3053 is 1

LCM of denominators i.e. for 704,180 is 31680.

Thus, GCF of Fractions is 1/31680.Finally, GCF of Fractions for 2345/704, 3053/180 is 1/31680.