LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 936/92, 241/120

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 936/92, 241/120 i.e 1/2760 easily. The following is the detailed procedure to determine the greatest common factor of fractions 936/92, 241/120.

Enter two or more fractions separated by "commas"

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

GCF of:

What is the GCF of 936/92,241/120?

Given fractions are 936/92,241/120

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 936/92,241/120, numerators are 936,241

Denominators are 92,120

The GCF of 936,241 is 1 .

LCM of 92,120 is 2760.

The greatest common factor of 936/92,241/120 = [GCF of 936,241]/[LCM of 92,120]= 1/2760

Therefore, the GCF of 936/92,241/120 is 1/2760.

Greatest Common Factor of 936,241

To find the highest common factor of 936,241, we have to find the factors of both numbers and list the highest common factor.

The factors of 936 are 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

The factors of 241 are 1, 241

The HCF of 936,241 is 1.

Lets's calculate GCF of 936,241

Greatest Common Factor (GCF) of 936,241 By Common Division

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

Greatest Common Factor of 936,241 By Matching Biggest Common Factor Method

Greatest Common Factor of 936,241 By Matching Biggest Common Factor Method

Now, list down the factors of 936

:

1,2,3,4,6,8,9,12,13,18,24,26,36,39,52,72,78,104,117,156,234,312,468,936

Now, list down the factors of 241

:

1,241

Greatest Common Factor

We found the factors 936,241 . The biggest common factor number is the GCF number.
So the greatest common factor 936,241 is 1.

Lets's calculate LCM of 92,120

Lowest Common Multiple of 92,120 using Common Division

2 92, 120
2 46, 60
23, 30

∴ So the LCM of the given numbers is 2 x 2 x 23 x 30 = 2760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2760

Therefore, the GCF of Fractions 936/92,241/120 is 1/2760

Least Common Multiple of 92,120 with GCF Formula

Least Common Multiple of 92,120 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 92,120 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,120) = 4

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

GCF(92,120) x common factors =4 x 1 = 4

LCM(92,120) = ( 92 × 120 ) / 4

LCM(92,120) = 11040 / 4

LCM(92,120) = 2760


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 936/92, 241/120

1. What is the HCF of 936,241?

The HCF of 936,241 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 936/92, 241/120?

Answer: GCF of Numerators as per given numbers 936/92, 241/120 is

GCF of Numerators i.e. for 936,241 is 1

LCM of denominators i.e. for 92,120 is 2760.

Thus, GCF of Fractions is 1/2760.Finally, GCF of Fractions for 936/92, 241/120 is 1/2760.