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 956/881, 120/138

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 956/881, 120/138 i.e 4/121578 easily. The following is the detailed procedure to determine the greatest common factor of fractions 956/881, 120/138.

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 956/881,120/138?

Given fractions are 956/881,120/138

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 956/881,120/138, numerators are 956,120

Denominators are 881,138

The GCF of 956,120 is 4 .

LCM of 881,138 is 121578.

The greatest common factor of 956/881,120/138 = [GCF of 956,120]/[LCM of 881,138]= 4/121578

Therefore, the GCF of 956/881,120/138 is 4/121578.

Greatest Common Factor of 956,120

To find the highest common factor of 956,120, we have to find the factors of both numbers and list the highest common factor.

The factors of 956 are 1, 2, 4, 239, 478, 956

The factors of 120 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

The HCF of 956,120 is 4.

Lets's calculate GCF of 956,120

Greatest Common Factor (GCF) of 956,120 By Common Division

2 956, 120
2 478, 60
239, 30

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 956,120 By Matching Biggest Common Factor Method

Greatest Common Factor of 956,120 By Matching Biggest Common Factor Method

Now, list down the factors of 956

:

1,2,4,239,478,956

Now, list down the factors of 120

:

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120

Greatest Common Factor

We found the factors 956,120 . The biggest common factor number is the GCF number.
So the greatest common factor 956,120 is 4.

Lets's calculate LCM of 881,138

Lowest Common Multiple of 881,138 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 121578

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/121578

Therefore, the GCF of Fractions 956/881,120/138 is 4/121578

Least Common Multiple of 881,138 with GCF Formula

Least Common Multiple of 881,138 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 881,138 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(881,138) = 1

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

GCF(881,138) x common factors =1 x 1 = 1

LCM(881,138) = ( 881 × 138 ) / 1

LCM(881,138) = 121578 / 1

LCM(881,138) = 121578


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 956/881, 120/138

1. What is the HCF of 956,120?

The HCF of 956,120 is 4

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 956/881, 120/138?

Answer: GCF of Numerators as per given numbers 956/881, 120/138 is

GCF of Numerators i.e. for 956,120 is 4

LCM of denominators i.e. for 881,138 is 121578.

Thus, GCF of Fractions is 4/121578.Finally, GCF of Fractions for 956/881, 120/138 is 4/121578.