How to Find GCF of 96/13, 870/99, 167/949?

GCF of 96/13, 870/99, 167/949

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 96/13, 870/99, 167/949 i.e 1/93951 easily. The following is the detailed procedure to determine the greatest common factor of fractions 96/13, 870/99, 167/949.

Enter two or more fractions separated by "commas"

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

What is the GCF of 96/13,870/99,167/949?

Given fractions are 96/13,870/99,167/949

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 96/13,870/99,167/949, numerators are 96,870,167

Denominators are 13,99,949

The GCF of 96,870,167 is 1 .

LCM of 13,99,949 is 93951.

The greatest common factor of 96/13,870/99,167/949 = [GCF of 96,870,167]/[LCM of 13,99,949]= 1/93951

Therefore, the GCF of 96/13,870/99,167/949 is 1/93951.

Greatest Common Factor of 96,870,167

To find the highest common factor of 96,870,167, we have to find the factors of both numbers and list the highest common factor.

The factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

The factors of 870 are 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

The factors of 167 are 1, 167

The HCF of 96,870,167 is 1.

Lets's calculate GCF of 96,870,167

Greatest Common Factor (GCF) of 96,870,167 By Common Division

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

Greatest Common Factor of 96,870,167 By Matching Biggest Common Factor Method

Now, list down the factors of 96

1,2,3,4,6,8,12,16,24,32,48,96

Now, list down the factors of 870

1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870

Now, list down the factors of 167

1,167

Greatest Common Factor

We found the factors 96,870,167 . The biggest common factor number is the GCF number.
So the greatest common factor 96,870,167 is 1.

Lets's calculate LCM of 13,99,949

Lowest Common Multiple of 13,99,949 using Common Division

13	13, 99, 949
	1, 99, 73

∴ So the LCM of the given numbers is 13 x 1 x 99 x 73 = 93951

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/93951

Therefore, the GCF of Fractions 96/13,870/99,167/949 is 1/93951

Least Common Multiple of 13,99,949 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 13,99,949 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,99,949) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(13,99,949) x common factors =1 x 13 = 13

LCM(13,99,949) = ( 13 × 99 × 949 ) / 13

LCM(13,99,949) = 1221363 / 13

LCM(13,99,949) = 93951

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 96/13, 870/99, 167/949

1. What is the HCF of 96,870,167?

The HCF of 96,870,167 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 96/13, 870/99, 167/949?

Answer: GCF of Numerators as per given numbers 96/13, 870/99, 167/949 is

GCF of Numerators i.e. for 96,870,167 is 1

LCM of denominators i.e. for 13,99,949 is 93951.

Thus, GCF of Fractions is 1/93951.Finally, GCF of Fractions for 96/13, 870/99, 167/949 is 1/93951.