Greatest Common Factor of 179/45, 308/8534

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 179/45, 308/8534

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 179/45,308/8534

Given fractions are 179/45,308/8534

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 179,308

Greatest Common Factor of Numerators i.e. GCF of 179,308 is 1 .

LCM of Denominators means LCM of 45,8534 as per the given fractions.

LCM of 45,8534 is 384030 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 179,308

GCF of Fractions 179/45,308/8534 is 1/384030

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

Greatest Common Factor of 179,308 By Matching Biggest Common Factor Method

Greatest Common Factor of 179,308 By Matching Biggest Common Factor Method

Factors of 179

List of positive integer factors of 179 that divides 179 without a remainder.

1,179

Factors of 308

List of positive integer factors of 308 that divides 308 without a remainder.

1,2,4,7,11,14,22,28,44,77,154,308

Greatest Common Factor

We found the factors 179,308 . The biggest common factor number is the GCF number.
So the greatest common factor 179,308 is 1.

Lets's calculate LCM of 45,8534

Given numbers has no common factors except 1. So, there LCM is their product i.e 384030

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/384030

Therefore, the GCF of Fractions 179/45,308/8534 is 1/384030

Least Common Multiple of 45,8534 with GCF Formula

Least Common Multiple of 45,8534 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 45,8534 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,8534) = 1

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

GCF(45,8534) x common factors =1 x 1 = 1

LCM(45,8534) = ( 45 × 8534 ) / 1

LCM(45,8534) = 384030 / 1

LCM(45,8534) = 384030


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 179/45, 308/8534

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 179/45, 308/8534?

Answer: GCF of Numerators as per given numbers 179/45, 308/8534 is

GCF of Numerators i.e. for 179,308 is 1

LCM of denominators i.e. for 45,8534 is 384030.

Thus, GCF of Fractions is 1/384030.Finally, GCF of Fractions for 179/45, 308/8534 is 1/384030.