Greatest Common Factor of 174/7192, 622/7074

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 174/7192, 622/7074

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 174/7192,622/7074

Given fractions are 174/7192,622/7074

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 174,622

Greatest Common Factor of Numerators i.e. GCF of 174,622 is 2 .

LCM of Denominators means LCM of 7192,7074 as per the given fractions.

LCM of 7192,7074 is 25438104 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 174,622

GCF of Fractions 174/7192,622/7074 is 2/25438104

2 174, 622
87, 311

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 174,622 By Matching Biggest Common Factor Method

Greatest Common Factor of 174,622 By Matching Biggest Common Factor Method

Factors of 174

List of positive integer factors of 174 that divides 174 without a remainder.

1,2,3,6,29,58,87,174

Factors of 622

List of positive integer factors of 622 that divides 622 without a remainder.

1,2,311,622

Greatest Common Factor

We found the factors 174,622 . The biggest common factor number is the GCF number.
So the greatest common factor 174,622 is 2.

Lets's calculate LCM of 7192,7074

2 7192, 7074
3596, 3537

∴ So the LCM of the given numbers is 2 x 3596 x 3537 = 25438104

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/25438104

Therefore, the GCF of Fractions 174/7192,622/7074 is 2/25438104

Least Common Multiple of 7192,7074 with GCF Formula

Least Common Multiple of 7192,7074 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 7192,7074 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7192,7074) = 2

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

GCF(7192,7074) x common factors =2 x 1 = 2

LCM(7192,7074) = ( 7192 × 7074 ) / 2

LCM(7192,7074) = 50876208 / 2

LCM(7192,7074) = 25438104


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 174/7192, 622/7074

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 174/7192, 622/7074?

Answer: GCF of Numerators as per given numbers 174/7192, 622/7074 is

GCF of Numerators i.e. for 174,622 is 2

LCM of denominators i.e. for 7192,7074 is 25438104.

Thus, GCF of Fractions is 2/25438104.Finally, GCF of Fractions for 174/7192, 622/7074 is 2/25438104.