How to Find GCF of 3452/465, 5654/5963?

GCF of 3452/465, 5654/5963

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 3452/465, 5654/5963 i.e 2/2772795 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3452/465, 5654/5963.

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 3452/465,5654/5963?

Given fractions are 3452/465,5654/5963

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 3452/465,5654/5963, numerators are 3452,5654

Denominators are 465,5963

The GCF of 3452,5654 is 2 .

LCM of 465,5963 is 2772795.

The greatest common factor of 3452/465,5654/5963 = [GCF of 3452,5654]/[LCM of 465,5963]= 2/2772795

Therefore, the GCF of 3452/465,5654/5963 is 2/2772795.

Greatest Common Factor of 3452,5654

To find the highest common factor of 3452,5654, we have to find the factors of both numbers and list the highest common factor.

The factors of 3452 are 1, 2, 4, 863, 1726, 3452

The factors of 5654 are 1, 2, 11, 22, 257, 514, 2827, 5654

The HCF of 3452,5654 is 2.

Lets's calculate GCF of 3452,5654

Greatest Common Factor (GCF) of 3452,5654 By Common Division

2	3452, 5654
	1726, 2827

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 3452,5654 By Matching Biggest Common Factor Method

Now, list down the factors of 3452

1,2,4,863,1726,3452

Now, list down the factors of 5654

1,2,11,22,257,514,2827,5654

Greatest Common Factor

We found the factors 3452,5654 . The biggest common factor number is the GCF number.
So the greatest common factor 3452,5654 is 2.

Lets's calculate LCM of 465,5963

Lowest Common Multiple of 465,5963 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2772795

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2772795

Therefore, the GCF of Fractions 3452/465,5654/5963 is 2/2772795

Least Common Multiple of 465,5963 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 465,5963 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(465,5963) = 1

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

GCF(465,5963) x common factors =1 x 1 = 1

LCM(465,5963) = ( 465 × 5963 ) / 1

LCM(465,5963) = 2772795 / 1

LCM(465,5963) = 2772795

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FAQs on GCF of Fractions of 3452/465, 5654/5963

1. What is the HCF of 3452,5654?

The HCF of 3452,5654 is 2

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 3452/465, 5654/5963?

Answer: GCF of Numerators as per given numbers 3452/465, 5654/5963 is

GCF of Numerators i.e. for 3452,5654 is 2

LCM of denominators i.e. for 465,5963 is 2772795.

Thus, GCF of Fractions is 2/2772795.Finally, GCF of Fractions for 3452/465, 5654/5963 is 2/2772795.