How to Find GCF of 4529/460, 3865/6852?

GCF of 4529/460, 3865/6852

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 4529/460, 3865/6852 i.e 1/787980 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4529/460, 3865/6852.

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 4529/460,3865/6852?

Given fractions are 4529/460,3865/6852

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 4529/460,3865/6852, numerators are 4529,3865

Denominators are 460,6852

The GCF of 4529,3865 is 1 .

LCM of 460,6852 is 787980.

The greatest common factor of 4529/460,3865/6852 = [GCF of 4529,3865]/[LCM of 460,6852]= 1/787980

Therefore, the GCF of 4529/460,3865/6852 is 1/787980.

Greatest Common Factor of 4529,3865

To find the highest common factor of 4529,3865, we have to find the factors of both numbers and list the highest common factor.

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

The factors of 3865 are 1, 5, 773, 3865

The HCF of 4529,3865 is 1.

Lets's calculate GCF of 4529,3865

Greatest Common Factor (GCF) of 4529,3865 By Common Division

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

Greatest Common Factor of 4529,3865 By Matching Biggest Common Factor Method

Now, list down the factors of 4529

1,7,647,4529

Now, list down the factors of 3865

1,5,773,3865

Greatest Common Factor

We found the factors 4529,3865 . The biggest common factor number is the GCF number.
So the greatest common factor 4529,3865 is 1.

Lets's calculate LCM of 460,6852

Lowest Common Multiple of 460,6852 using Common Division

2	460, 6852
2	230, 3426
	115, 1713

∴ So the LCM of the given numbers is 2 x 2 x 115 x 1713 = 787980

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/787980

Therefore, the GCF of Fractions 4529/460,3865/6852 is 1/787980

Least Common Multiple of 460,6852 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 460,6852 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(460,6852) = 4

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

GCF(460,6852) x common factors =4 x 1 = 4

LCM(460,6852) = ( 460 × 6852 ) / 4

LCM(460,6852) = 3151920 / 4

LCM(460,6852) = 787980

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FAQs on GCF of Fractions of 4529/460, 3865/6852

1. What is the HCF of 4529,3865?

The HCF of 4529,3865 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 4529/460, 3865/6852?

Answer: GCF of Numerators as per given numbers 4529/460, 3865/6852 is

GCF of Numerators i.e. for 4529,3865 is 1

LCM of denominators i.e. for 460,6852 is 787980.

Thus, GCF of Fractions is 1/787980.Finally, GCF of Fractions for 4529/460, 3865/6852 is 1/787980.