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 87/156, 29/3112

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 87/156, 29/3112 i.e 29/121368 easily. The following is the detailed procedure to determine the greatest common factor of fractions 87/156, 29/3112.

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 87/156,29/3112?

Given fractions are 87/156,29/3112

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 87/156,29/3112, numerators are 87,29

Denominators are 156,3112

The GCF of 87,29 is 29 .

LCM of 156,3112 is 121368.

The greatest common factor of 87/156,29/3112 = [GCF of 87,29]/[LCM of 156,3112]= 29/121368

Therefore, the GCF of 87/156,29/3112 is 29/121368.

Greatest Common Factor of 87,29

To find the highest common factor of 87,29, we have to find the factors of both numbers and list the highest common factor.

The factors of 87 are 1, 3, 29, 87

The factors of 29 are 1, 29

The HCF of 87,29 is 29.

Lets's calculate GCF of 87,29

Greatest Common Factor (GCF) of 87,29 By Common Division

29 87, 29
3, 1

∴ So the GCF of the given numbers is 29 = 29

Greatest Common Factor of 87,29 By Matching Biggest Common Factor Method

Greatest Common Factor of 87,29 By Matching Biggest Common Factor Method

Now, list down the factors of 87

:

1,3,29,87

Now, list down the factors of 29

:

1,29

Greatest Common Factor

We found the factors 87,29 . The biggest common factor number is the GCF number.
So the greatest common factor 87,29 is 29.

Lets's calculate LCM of 156,3112

Lowest Common Multiple of 156,3112 using Common Division

2 156, 3112
2 78, 1556
39, 778

∴ So the LCM of the given numbers is 2 x 2 x 39 x 778 = 121368

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 29/121368

Therefore, the GCF of Fractions 87/156,29/3112 is 29/121368

Least Common Multiple of 156,3112 with GCF Formula

Least Common Multiple of 156,3112 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 156,3112 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(156,3112) = 4

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

GCF(156,3112) x common factors =4 x 1 = 4

LCM(156,3112) = ( 156 × 3112 ) / 4

LCM(156,3112) = 485472 / 4

LCM(156,3112) = 121368


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 87/156, 29/3112

1. What is the HCF of 87,29?

The HCF of 87,29 is 29

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 87/156, 29/3112?

Answer: GCF of Numerators as per given numbers 87/156, 29/3112 is

GCF of Numerators i.e. for 87,29 is 29

LCM of denominators i.e. for 156,3112 is 121368.

Thus, GCF of Fractions is 29/121368.Finally, GCF of Fractions for 87/156, 29/3112 is 29/121368.