Greatest Common Factor of 925/69, 305/174

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 925/69, 305/174

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 925/69,305/174

Given fractions are 925/69,305/174

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 925,305

Greatest Common Factor of Numerators i.e. GCF of 925,305 is 5 .

LCM of Denominators means LCM of 69,174 as per the given fractions.

LCM of 69,174 is 4002 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 925,305

GCF of Fractions 925/69,305/174 is 5/4002

5 925, 305
185, 61

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

Greatest Common Factor of 925,305 By Matching Biggest Common Factor Method

Greatest Common Factor of 925,305 By Matching Biggest Common Factor Method

Factors of 925

List of positive integer factors of 925 that divides 925 without a remainder.

1,5,25,37,185,925

Factors of 305

List of positive integer factors of 305 that divides 305 without a remainder.

1,5,61,305

Greatest Common Factor

We found the factors 925,305 . The biggest common factor number is the GCF number.
So the greatest common factor 925,305 is 5.

Lets's calculate LCM of 69,174

3 69, 174
23, 58

∴ So the LCM of the given numbers is 3 x 23 x 58 = 4002

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/4002

Therefore, the GCF of Fractions 925/69,305/174 is 5/4002

Least Common Multiple of 69,174 with GCF Formula

Least Common Multiple of 69,174 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 69,174 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,174) = 3

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

GCF(69,174) x common factors =3 x 1 = 3

LCM(69,174) = ( 69 × 174 ) / 3

LCM(69,174) = 12006 / 3

LCM(69,174) = 4002


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 925/69, 305/174

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 925/69, 305/174?

Answer: GCF of Numerators as per given numbers 925/69, 305/174 is

GCF of Numerators i.e. for 925,305 is 5

LCM of denominators i.e. for 69,174 is 4002.

Thus, GCF of Fractions is 5/4002.Finally, GCF of Fractions for 925/69, 305/174 is 5/4002.