How to Find GCF of 941/112, 540/668?

GCF of 941/112, 540/668

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 941/112, 540/668 i.e 1/18704 easily. The following is the detailed procedure to determine the greatest common factor of fractions 941/112, 540/668.

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 941/112,540/668?

Given fractions are 941/112,540/668

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 941/112,540/668, numerators are 941,540

Denominators are 112,668

The GCF of 941,540 is 1 .

LCM of 112,668 is 18704.

The greatest common factor of 941/112,540/668 = [GCF of 941,540]/[LCM of 112,668]= 1/18704

Therefore, the GCF of 941/112,540/668 is 1/18704.

Greatest Common Factor of 941,540

To find the highest common factor of 941,540, we have to find the factors of both numbers and list the highest common factor.

The factors of 941 are 1, 941

The factors of 540 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

The HCF of 941,540 is 1.

Lets's calculate GCF of 941,540

Greatest Common Factor (GCF) of 941,540 By Common Division

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

Greatest Common Factor of 941,540 By Matching Biggest Common Factor Method

Now, list down the factors of 941

1,941

Now, list down the factors of 540

1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540

Greatest Common Factor

We found the factors 941,540 . The biggest common factor number is the GCF number.
So the greatest common factor 941,540 is 1.

Lets's calculate LCM of 112,668

Lowest Common Multiple of 112,668 using Common Division

2	112, 668
2	56, 334
	28, 167

∴ So the LCM of the given numbers is 2 x 2 x 28 x 167 = 18704

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18704

Therefore, the GCF of Fractions 941/112,540/668 is 1/18704

Least Common Multiple of 112,668 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 112,668 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(112,668) = 4

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

GCF(112,668) x common factors =4 x 1 = 4

LCM(112,668) = ( 112 × 668 ) / 4

LCM(112,668) = 74816 / 4

LCM(112,668) = 18704

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 941/112, 540/668

1. What is the HCF of 941,540?

The HCF of 941,540 is 1

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 941/112, 540/668?

Answer: GCF of Numerators as per given numbers 941/112, 540/668 is

GCF of Numerators i.e. for 941,540 is 1

LCM of denominators i.e. for 112,668 is 18704.

Thus, GCF of Fractions is 1/18704.Finally, GCF of Fractions for 941/112, 540/668 is 1/18704.