How to Find GCF of 5659/428, 3745/6102?

GCF of 5659/428, 3745/6102

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 5659/428, 3745/6102 i.e 1/1305828 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5659/428, 3745/6102.

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 5659/428,3745/6102?

Given fractions are 5659/428,3745/6102

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 5659/428,3745/6102, numerators are 5659,3745

Denominators are 428,6102

The GCF of 5659,3745 is 1 .

LCM of 428,6102 is 1305828.

The greatest common factor of 5659/428,3745/6102 = [GCF of 5659,3745]/[LCM of 428,6102]= 1/1305828

Therefore, the GCF of 5659/428,3745/6102 is 1/1305828.

Greatest Common Factor of 5659,3745

To find the highest common factor of 5659,3745, we have to find the factors of both numbers and list the highest common factor.

The factors of 5659 are 1, 5659

The factors of 3745 are 1, 5, 7, 35, 107, 535, 749, 3745

The HCF of 5659,3745 is 1.

Lets's calculate GCF of 5659,3745

Greatest Common Factor (GCF) of 5659,3745 By Common Division

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

Greatest Common Factor of 5659,3745 By Matching Biggest Common Factor Method

Now, list down the factors of 5659

1,5659

Now, list down the factors of 3745

1,5,7,35,107,535,749,3745

Greatest Common Factor

We found the factors 5659,3745 . The biggest common factor number is the GCF number.
So the greatest common factor 5659,3745 is 1.

Lets's calculate LCM of 428,6102

Lowest Common Multiple of 428,6102 using Common Division

2	428, 6102
	214, 3051

∴ So the LCM of the given numbers is 2 x 214 x 3051 = 1305828

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1305828

Therefore, the GCF of Fractions 5659/428,3745/6102 is 1/1305828

Least Common Multiple of 428,6102 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 428,6102 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(428,6102) = 2

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

GCF(428,6102) x common factors =2 x 1 = 2

LCM(428,6102) = ( 428 × 6102 ) / 2

LCM(428,6102) = 2611656 / 2

LCM(428,6102) = 1305828

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FAQs on GCF of Fractions of 5659/428, 3745/6102

1. What is the HCF of 5659,3745?

The HCF of 5659,3745 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 5659/428, 3745/6102?

Answer: GCF of Numerators as per given numbers 5659/428, 3745/6102 is

GCF of Numerators i.e. for 5659,3745 is 1

LCM of denominators i.e. for 428,6102 is 1305828.

Thus, GCF of Fractions is 1/1305828.Finally, GCF of Fractions for 5659/428, 3745/6102 is 1/1305828.