How to Find GCF of 1461/732, 4522/2410?

GCF of 1461/732, 4522/2410

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 1461/732, 4522/2410 i.e 1/882060 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1461/732, 4522/2410.

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 1461/732,4522/2410?

Given fractions are 1461/732,4522/2410

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 1461/732,4522/2410, numerators are 1461,4522

Denominators are 732,2410

The GCF of 1461,4522 is 1 .

LCM of 732,2410 is 882060.

The greatest common factor of 1461/732,4522/2410 = [GCF of 1461,4522]/[LCM of 732,2410]= 1/882060

Therefore, the GCF of 1461/732,4522/2410 is 1/882060.

Greatest Common Factor of 1461,4522

To find the highest common factor of 1461,4522, we have to find the factors of both numbers and list the highest common factor.

The factors of 1461 are 1, 3, 487, 1461

The factors of 4522 are 1, 2, 7, 14, 17, 19, 34, 38, 119, 133, 238, 266, 323, 646, 2261, 4522

The HCF of 1461,4522 is 1.

Lets's calculate GCF of 1461,4522

Greatest Common Factor (GCF) of 1461,4522 By Common Division

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

Greatest Common Factor of 1461,4522 By Matching Biggest Common Factor Method

Now, list down the factors of 1461

1,3,487,1461

Now, list down the factors of 4522

1,2,7,14,17,19,34,38,119,133,238,266,323,646,2261,4522

Greatest Common Factor

We found the factors 1461,4522 . The biggest common factor number is the GCF number.
So the greatest common factor 1461,4522 is 1.

Lets's calculate LCM of 732,2410

Lowest Common Multiple of 732,2410 using Common Division

2	732, 2410
	366, 1205

∴ So the LCM of the given numbers is 2 x 366 x 1205 = 882060

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/882060

Therefore, the GCF of Fractions 1461/732,4522/2410 is 1/882060

Least Common Multiple of 732,2410 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 732,2410 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(732,2410) = 2

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

GCF(732,2410) x common factors =2 x 1 = 2

LCM(732,2410) = ( 732 × 2410 ) / 2

LCM(732,2410) = 1764120 / 2

LCM(732,2410) = 882060

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FAQs on GCF of Fractions of 1461/732, 4522/2410

1. What is the HCF of 1461,4522?

The HCF of 1461,4522 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 1461/732, 4522/2410?

Answer: GCF of Numerators as per given numbers 1461/732, 4522/2410 is

GCF of Numerators i.e. for 1461,4522 is 1

LCM of denominators i.e. for 732,2410 is 882060.

Thus, GCF of Fractions is 1/882060.Finally, GCF of Fractions for 1461/732, 4522/2410 is 1/882060.