How to Find GCF of 7264/258, 1732/3437?

GCF of 7264/258, 1732/3437

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 7264/258, 1732/3437 i.e 4/886746 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7264/258, 1732/3437.

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 7264/258,1732/3437?

Given fractions are 7264/258,1732/3437

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 7264/258,1732/3437, numerators are 7264,1732

Denominators are 258,3437

The GCF of 7264,1732 is 4 .

LCM of 258,3437 is 886746.

The greatest common factor of 7264/258,1732/3437 = [GCF of 7264,1732]/[LCM of 258,3437]= 4/886746

Therefore, the GCF of 7264/258,1732/3437 is 4/886746.

Greatest Common Factor of 7264,1732

To find the highest common factor of 7264,1732, we have to find the factors of both numbers and list the highest common factor.

The factors of 7264 are 1, 2, 4, 8, 16, 32, 227, 454, 908, 1816, 3632, 7264

The factors of 1732 are 1, 2, 4, 433, 866, 1732

The HCF of 7264,1732 is 4.

Lets's calculate GCF of 7264,1732

Greatest Common Factor (GCF) of 7264,1732 By Common Division

2	7264, 1732
2	3632, 866
	1816, 433

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 7264,1732 By Matching Biggest Common Factor Method

Now, list down the factors of 7264

1,2,4,8,16,32,227,454,908,1816,3632,7264

Now, list down the factors of 1732

1,2,4,433,866,1732

Greatest Common Factor

We found the factors 7264,1732 . The biggest common factor number is the GCF number.
So the greatest common factor 7264,1732 is 4.

Lets's calculate LCM of 258,3437

Lowest Common Multiple of 258,3437 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 886746

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/886746

Therefore, the GCF of Fractions 7264/258,1732/3437 is 4/886746

Least Common Multiple of 258,3437 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 258,3437 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(258,3437) = 1

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

GCF(258,3437) x common factors =1 x 1 = 1

LCM(258,3437) = ( 258 × 3437 ) / 1

LCM(258,3437) = 886746 / 1

LCM(258,3437) = 886746

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FAQs on GCF of Fractions of 7264/258, 1732/3437

1. What is the HCF of 7264,1732?

The HCF of 7264,1732 is 4

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 7264/258, 1732/3437?

Answer: GCF of Numerators as per given numbers 7264/258, 1732/3437 is

GCF of Numerators i.e. for 7264,1732 is 4

LCM of denominators i.e. for 258,3437 is 886746.

Thus, GCF of Fractions is 4/886746.Finally, GCF of Fractions for 7264/258, 1732/3437 is 4/886746.