How to Find GCF of 4681/716, 4529/504?

GCF of 4681/716, 4529/504

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 4681/716, 4529/504 i.e 1/90216 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4681/716, 4529/504.

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 4681/716,4529/504?

Given fractions are 4681/716,4529/504

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 4681/716,4529/504, numerators are 4681,4529

Denominators are 716,504

The GCF of 4681,4529 is 1 .

LCM of 716,504 is 90216.

The greatest common factor of 4681/716,4529/504 = [GCF of 4681,4529]/[LCM of 716,504]= 1/90216

Therefore, the GCF of 4681/716,4529/504 is 1/90216.

Greatest Common Factor of 4681,4529

To find the highest common factor of 4681,4529, we have to find the factors of both numbers and list the highest common factor.

The factors of 4681 are 1, 31, 151, 4681

The factors of 4529 are 1, 7, 647, 4529

The HCF of 4681,4529 is 1.

Lets's calculate GCF of 4681,4529

Greatest Common Factor (GCF) of 4681,4529 By Common Division

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

Greatest Common Factor of 4681,4529 By Matching Biggest Common Factor Method

Now, list down the factors of 4681

1,31,151,4681

Now, list down the factors of 4529

1,7,647,4529

Greatest Common Factor

We found the factors 4681,4529 . The biggest common factor number is the GCF number.
So the greatest common factor 4681,4529 is 1.

Lets's calculate LCM of 716,504

Lowest Common Multiple of 716,504 using Common Division

2	716, 504
2	358, 252
	179, 126

∴ So the LCM of the given numbers is 2 x 2 x 179 x 126 = 90216

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/90216

Therefore, the GCF of Fractions 4681/716,4529/504 is 1/90216

Least Common Multiple of 716,504 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 716,504 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(716,504) = 4

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

GCF(716,504) x common factors =4 x 1 = 4

LCM(716,504) = ( 716 × 504 ) / 4

LCM(716,504) = 360864 / 4

LCM(716,504) = 90216

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FAQs on GCF of Fractions of 4681/716, 4529/504

1. What is the HCF of 4681,4529?

The HCF of 4681,4529 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 4681/716, 4529/504?

Answer: GCF of Numerators as per given numbers 4681/716, 4529/504 is

GCF of Numerators i.e. for 4681,4529 is 1

LCM of denominators i.e. for 716,504 is 90216.

Thus, GCF of Fractions is 1/90216.Finally, GCF of Fractions for 4681/716, 4529/504 is 1/90216.