How to Find GCF of 920/674, 667/191?

GCF of 920/674, 667/191

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 920/674, 667/191 i.e 23/128734 easily. The following is the detailed procedure to determine the greatest common factor of fractions 920/674, 667/191.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 920/674,667/191?

Given fractions are 920/674,667/191

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 920/674,667/191, numerators are 920,667

Denominators are 674,191

The GCF of 920,667 is 23 .

LCM of 674,191 is 128734.

The greatest common factor of 920/674,667/191 = [GCF of 920,667]/[LCM of 674,191]= 23/128734

Therefore, the GCF of 920/674,667/191 is 23/128734.

Greatest Common Factor of 920,667

To find the highest common factor of 920,667, we have to find the factors of both numbers and list the highest common factor.

The factors of 920 are 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

The factors of 667 are 1, 23, 29, 667

The HCF of 920,667 is 23.

Lets's calculate GCF of 920,667

Greatest Common Factor (GCF) of 920,667 By Common Division

23	920, 667
	40, 29

∴ So the GCF of the given numbers is 23 = 23

Greatest Common Factor of 920,667 By Matching Biggest Common Factor Method

Now, list down the factors of 920

1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920

Now, list down the factors of 667

1,23,29,667

Greatest Common Factor

We found the factors 920,667 . The biggest common factor number is the GCF number.
So the greatest common factor 920,667 is 23.

Lets's calculate LCM of 674,191

Lowest Common Multiple of 674,191 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 128734

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/128734

Therefore, the GCF of Fractions 920/674,667/191 is 23/128734

Least Common Multiple of 674,191 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 674,191 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(674,191) = 1

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

GCF(674,191) x common factors =1 x 1 = 1

LCM(674,191) = ( 674 × 191 ) / 1

LCM(674,191) = 128734 / 1

LCM(674,191) = 128734

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 920/674, 667/191

1. What is the HCF of 920,667?

The HCF of 920,667 is 23

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 920/674, 667/191?

Answer: GCF of Numerators as per given numbers 920/674, 667/191 is

GCF of Numerators i.e. for 920,667 is 23

LCM of denominators i.e. for 674,191 is 128734.

Thus, GCF of Fractions is 23/128734.Finally, GCF of Fractions for 920/674, 667/191 is 23/128734.