How to Find GCF of 29/64, 791/60, 473/558?

GCF of 29/64, 791/60, 473/558

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 29/64, 791/60, 473/558 i.e 1/89280 easily. The following is the detailed procedure to determine the greatest common factor of fractions 29/64, 791/60, 473/558.

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 29/64,791/60,473/558?

Given fractions are 29/64,791/60,473/558

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 29/64,791/60,473/558, numerators are 29,791,473

Denominators are 64,60,558

The GCF of 29,791,473 is 1 .

LCM of 64,60,558 is 89280.

The greatest common factor of 29/64,791/60,473/558 = [GCF of 29,791,473]/[LCM of 64,60,558]= 1/89280

Therefore, the GCF of 29/64,791/60,473/558 is 1/89280.

Greatest Common Factor of 29,791,473

To find the highest common factor of 29,791,473, we have to find the factors of both numbers and list the highest common factor.

The factors of 29 are 1, 29

The factors of 791 are 1, 7, 113, 791

The factors of 473 are 1, 11, 43, 473

The HCF of 29,791,473 is 1.

Lets's calculate GCF of 29,791,473

Greatest Common Factor (GCF) of 29,791,473 By Common Division

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

Greatest Common Factor of 29,791,473 By Matching Biggest Common Factor Method

Now, list down the factors of 29

1,29

Now, list down the factors of 791

1,7,113,791

Now, list down the factors of 473

1,11,43,473

Greatest Common Factor

We found the factors 29,791,473 . The biggest common factor number is the GCF number.
So the greatest common factor 29,791,473 is 1.

Lets's calculate LCM of 64,60,558

Lowest Common Multiple of 64,60,558 using Common Division

2	64, 60, 558
2	32, 30, 279
3	16, 15, 279
	16, 5, 93

∴ So the LCM of the given numbers is 2 x 2 x 3 x 16 x 5 x 93 = 89280

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/89280

Therefore, the GCF of Fractions 29/64,791/60,473/558 is 1/89280

Least Common Multiple of 64,60,558 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 64,60,558 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,60,558) = 2

common factors(in case of two or more numbers have common factors) = 12

GCF(64,60,558) x common factors =2 x 12 = 24

LCM(64,60,558) = ( 64 × 60 × 558 ) / 24

LCM(64,60,558) = 2142720 / 24

LCM(64,60,558) = 89280

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 29/64, 791/60, 473/558

1. What is the HCF of 29,791,473?

The HCF of 29,791,473 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 29/64, 791/60, 473/558?

Answer: GCF of Numerators as per given numbers 29/64, 791/60, 473/558 is

GCF of Numerators i.e. for 29,791,473 is 1

LCM of denominators i.e. for 64,60,558 is 89280.

Thus, GCF of Fractions is 1/89280.Finally, GCF of Fractions for 29/64, 791/60, 473/558 is 1/89280.