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 156/977, 286/188

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 156/977, 286/188 i.e 26/183676 easily. The following is the detailed procedure to determine the greatest common factor of fractions 156/977, 286/188.

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 156/977,286/188?

Given fractions are 156/977,286/188

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 156/977,286/188, numerators are 156,286

Denominators are 977,188

The GCF of 156,286 is 26 .

LCM of 977,188 is 183676.

The greatest common factor of 156/977,286/188 = [GCF of 156,286]/[LCM of 977,188]= 26/183676

Therefore, the GCF of 156/977,286/188 is 26/183676.

Greatest Common Factor of 156,286

To find the highest common factor of 156,286, we have to find the factors of both numbers and list the highest common factor.

The factors of 156 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

The factors of 286 are 1, 2, 11, 13, 22, 26, 143, 286

The HCF of 156,286 is 26.

Lets's calculate GCF of 156,286

Greatest Common Factor (GCF) of 156,286 By Common Division

2 156, 286
13 78, 143
6, 11

∴ So the GCF of the given numbers is 2 x 13 = 26

Greatest Common Factor of 156,286 By Matching Biggest Common Factor Method

Greatest Common Factor of 156,286 By Matching Biggest Common Factor Method

Now, list down the factors of 156

:

1,2,3,4,6,12,13,26,39,52,78,156

Now, list down the factors of 286

:

1,2,11,13,22,26,143,286

Greatest Common Factor

We found the factors 156,286 . The biggest common factor number is the GCF number.
So the greatest common factor 156,286 is 26.

Lets's calculate LCM of 977,188

Lowest Common Multiple of 977,188 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 183676

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 26/183676

Therefore, the GCF of Fractions 156/977,286/188 is 26/183676

Least Common Multiple of 977,188 with GCF Formula

Least Common Multiple of 977,188 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 977,188 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(977,188) = 1

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

GCF(977,188) x common factors =1 x 1 = 1

LCM(977,188) = ( 977 × 188 ) / 1

LCM(977,188) = 183676 / 1

LCM(977,188) = 183676


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 156/977, 286/188

1. What is the HCF of 156,286?

The HCF of 156,286 is 26

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 156/977, 286/188?

Answer: GCF of Numerators as per given numbers 156/977, 286/188 is

GCF of Numerators i.e. for 156,286 is 26

LCM of denominators i.e. for 977,188 is 183676.

Thus, GCF of Fractions is 26/183676.Finally, GCF of Fractions for 156/977, 286/188 is 26/183676.