How to Find GCF of 929/83, 917/24, 141/16?

GCF of 929/83, 917/24, 141/16

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 929/83, 917/24, 141/16 i.e 1/3984 easily. The following is the detailed procedure to determine the greatest common factor of fractions 929/83, 917/24, 141/16.

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 929/83,917/24,141/16?

Given fractions are 929/83,917/24,141/16

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 929/83,917/24,141/16, numerators are 929,917,141

Denominators are 83,24,16

The GCF of 929,917,141 is 1 .

LCM of 83,24,16 is 3984.

The greatest common factor of 929/83,917/24,141/16 = [GCF of 929,917,141]/[LCM of 83,24,16]= 1/3984

Therefore, the GCF of 929/83,917/24,141/16 is 1/3984.

Greatest Common Factor of 929,917,141

To find the highest common factor of 929,917,141, we have to find the factors of both numbers and list the highest common factor.

The factors of 929 are 1, 929

The factors of 917 are 1, 7, 131, 917

The factors of 141 are 1, 3, 47, 141

The HCF of 929,917,141 is 1.

Lets's calculate GCF of 929,917,141

Greatest Common Factor (GCF) of 929,917,141 By Common Division

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

Greatest Common Factor of 929,917,141 By Matching Biggest Common Factor Method

Now, list down the factors of 929

1,929

Now, list down the factors of 917

1,7,131,917

Now, list down the factors of 141

1,3,47,141

Greatest Common Factor

We found the factors 929,917,141 . The biggest common factor number is the GCF number.
So the greatest common factor 929,917,141 is 1.

Lets's calculate LCM of 83,24,16

Lowest Common Multiple of 83,24,16 using Common Division

2	83, 24, 16
2	83, 12, 8
2	83, 6, 4
	83, 3, 2

∴ So the LCM of the given numbers is 2 x 2 x 2 x 83 x 3 x 2 = 3984

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3984

Therefore, the GCF of Fractions 929/83,917/24,141/16 is 1/3984

Least Common Multiple of 83,24,16 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 83,24,16 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,24,16) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(83,24,16) x common factors =1 x 8 = 8

LCM(83,24,16) = ( 83 × 24 × 16 ) / 8

LCM(83,24,16) = 31872 / 8

LCM(83,24,16) = 3984

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 929/83, 917/24, 141/16

1. What is the HCF of 929,917,141?

The HCF of 929,917,141 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 929/83, 917/24, 141/16?

Answer: GCF of Numerators as per given numbers 929/83, 917/24, 141/16 is

GCF of Numerators i.e. for 929,917,141 is 1

LCM of denominators i.e. for 83,24,16 is 3984.

Thus, GCF of Fractions is 1/3984.Finally, GCF of Fractions for 929/83, 917/24, 141/16 is 1/3984.