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 987/78, 659/152

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 987/78, 659/152 i.e 1/5928 easily. The following is the detailed procedure to determine the greatest common factor of fractions 987/78, 659/152.

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 987/78,659/152?

Given fractions are 987/78,659/152

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 987/78,659/152, numerators are 987,659

Denominators are 78,152

The GCF of 987,659 is 1 .

LCM of 78,152 is 5928.

The greatest common factor of 987/78,659/152 = [GCF of 987,659]/[LCM of 78,152]= 1/5928

Therefore, the GCF of 987/78,659/152 is 1/5928.

Greatest Common Factor of 987,659

To find the highest common factor of 987,659, we have to find the factors of both numbers and list the highest common factor.

The factors of 987 are 1, 3, 7, 21, 47, 141, 329, 987

The factors of 659 are 1, 659

The HCF of 987,659 is 1.

Lets's calculate GCF of 987,659

Greatest Common Factor (GCF) of 987,659 By Common Division

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

Greatest Common Factor of 987,659 By Matching Biggest Common Factor Method

Greatest Common Factor of 987,659 By Matching Biggest Common Factor Method

Now, list down the factors of 987

:

1,3,7,21,47,141,329,987

Now, list down the factors of 659

:

1,659

Greatest Common Factor

We found the factors 987,659 . The biggest common factor number is the GCF number.
So the greatest common factor 987,659 is 1.

Lets's calculate LCM of 78,152

Lowest Common Multiple of 78,152 using Common Division

2 78, 152
39, 76

∴ So the LCM of the given numbers is 2 x 39 x 76 = 5928

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5928

Therefore, the GCF of Fractions 987/78,659/152 is 1/5928

Least Common Multiple of 78,152 with GCF Formula

Least Common Multiple of 78,152 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 78,152 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,152) = 2

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

GCF(78,152) x common factors =2 x 1 = 2

LCM(78,152) = ( 78 × 152 ) / 2

LCM(78,152) = 11856 / 2

LCM(78,152) = 5928


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 987/78, 659/152

1. What is the HCF of 987,659?

The HCF of 987,659 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 987/78, 659/152?

Answer: GCF of Numerators as per given numbers 987/78, 659/152 is

GCF of Numerators i.e. for 987,659 is 1

LCM of denominators i.e. for 78,152 is 5928.

Thus, GCF of Fractions is 1/5928.Finally, GCF of Fractions for 987/78, 659/152 is 1/5928.