How to Find GCF of 5745/590, 2897/3618?

GCF of 5745/590, 2897/3618

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 5745/590, 2897/3618 i.e 1/1067310 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5745/590, 2897/3618.

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 5745/590,2897/3618?

Given fractions are 5745/590,2897/3618

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 5745/590,2897/3618, numerators are 5745,2897

Denominators are 590,3618

The GCF of 5745,2897 is 1 .

LCM of 590,3618 is 1067310.

The greatest common factor of 5745/590,2897/3618 = [GCF of 5745,2897]/[LCM of 590,3618]= 1/1067310

Therefore, the GCF of 5745/590,2897/3618 is 1/1067310.

Greatest Common Factor of 5745,2897

To find the highest common factor of 5745,2897, we have to find the factors of both numbers and list the highest common factor.

The factors of 5745 are 1, 3, 5, 15, 383, 1149, 1915, 5745

The factors of 2897 are 1, 2897

The HCF of 5745,2897 is 1.

Lets's calculate GCF of 5745,2897

Greatest Common Factor (GCF) of 5745,2897 By Common Division

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

Greatest Common Factor of 5745,2897 By Matching Biggest Common Factor Method

Now, list down the factors of 5745

1,3,5,15,383,1149,1915,5745

Now, list down the factors of 2897

1,2897

Greatest Common Factor

We found the factors 5745,2897 . The biggest common factor number is the GCF number.
So the greatest common factor 5745,2897 is 1.

Lets's calculate LCM of 590,3618

Lowest Common Multiple of 590,3618 using Common Division

2	590, 3618
	295, 1809

∴ So the LCM of the given numbers is 2 x 295 x 1809 = 1067310

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1067310

Therefore, the GCF of Fractions 5745/590,2897/3618 is 1/1067310

Least Common Multiple of 590,3618 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 590,3618 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(590,3618) = 2

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

GCF(590,3618) x common factors =2 x 1 = 2

LCM(590,3618) = ( 590 × 3618 ) / 2

LCM(590,3618) = 2134620 / 2

LCM(590,3618) = 1067310

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FAQs on GCF of Fractions of 5745/590, 2897/3618

1. What is the HCF of 5745,2897?

The HCF of 5745,2897 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 5745/590, 2897/3618?

Answer: GCF of Numerators as per given numbers 5745/590, 2897/3618 is

GCF of Numerators i.e. for 5745,2897 is 1

LCM of denominators i.e. for 590,3618 is 1067310.

Thus, GCF of Fractions is 1/1067310.Finally, GCF of Fractions for 5745/590, 2897/3618 is 1/1067310.