How to Find GCF of 71/29, 200/94, 524/633?

GCF of 71/29, 200/94, 524/633

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 71/29, 200/94, 524/633 i.e 1/1725558 easily. The following is the detailed procedure to determine the greatest common factor of fractions 71/29, 200/94, 524/633.

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 71/29,200/94,524/633?

Given fractions are 71/29,200/94,524/633

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 71/29,200/94,524/633, numerators are 71,200,524

Denominators are 29,94,633

The GCF of 71,200,524 is 1 .

LCM of 29,94,633 is 1725558.

The greatest common factor of 71/29,200/94,524/633 = [GCF of 71,200,524]/[LCM of 29,94,633]= 1/1725558

Therefore, the GCF of 71/29,200/94,524/633 is 1/1725558.

Greatest Common Factor of 71,200,524

To find the highest common factor of 71,200,524, we have to find the factors of both numbers and list the highest common factor.

The factors of 71 are 1, 71

The factors of 200 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

The factors of 524 are 1, 2, 4, 131, 262, 524

The HCF of 71,200,524 is 1.

Lets's calculate GCF of 71,200,524

Greatest Common Factor (GCF) of 71,200,524 By Common Division

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

Greatest Common Factor of 71,200,524 By Matching Biggest Common Factor Method

Now, list down the factors of 71

1,71

Now, list down the factors of 200

1,2,4,5,8,10,20,25,40,50,100,200

Now, list down the factors of 524

1,2,4,131,262,524

Greatest Common Factor

We found the factors 71,200,524 . The biggest common factor number is the GCF number.
So the greatest common factor 71,200,524 is 1.

Lets's calculate LCM of 29,94,633

Lowest Common Multiple of 29,94,633 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1725558

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1725558

Therefore, the GCF of Fractions 71/29,200/94,524/633 is 1/1725558

Least Common Multiple of 29,94,633 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 29,94,633 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,94,633) = 1

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

GCF(29,94,633) x common factors =1 x 1 = 1

LCM(29,94,633) = ( 29 × 94 × 633 ) / 1

LCM(29,94,633) = 1725558 / 1

LCM(29,94,633) = 1725558

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FAQs on GCF of Fractions of 71/29, 200/94, 524/633

1. What is the HCF of 71,200,524?

The HCF of 71,200,524 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 71/29, 200/94, 524/633?

Answer: GCF of Numerators as per given numbers 71/29, 200/94, 524/633 is

GCF of Numerators i.e. for 71,200,524 is 1

LCM of denominators i.e. for 29,94,633 is 1725558.

Thus, GCF of Fractions is 1/1725558.Finally, GCF of Fractions for 71/29, 200/94, 524/633 is 1/1725558.