How to Find GCF of 7565/224, 4337/8432?

GCF of 7565/224, 4337/8432

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 7565/224, 4337/8432 i.e 1/118048 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7565/224, 4337/8432.

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 7565/224,4337/8432?

Given fractions are 7565/224,4337/8432

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 7565/224,4337/8432, numerators are 7565,4337

Denominators are 224,8432

The GCF of 7565,4337 is 1 .

LCM of 224,8432 is 118048.

The greatest common factor of 7565/224,4337/8432 = [GCF of 7565,4337]/[LCM of 224,8432]= 1/118048

Therefore, the GCF of 7565/224,4337/8432 is 1/118048.

Greatest Common Factor of 7565,4337

To find the highest common factor of 7565,4337, we have to find the factors of both numbers and list the highest common factor.

The factors of 7565 are 1, 5, 17, 85, 89, 445, 1513, 7565

The factors of 4337 are 1, 4337

The HCF of 7565,4337 is 1.

Lets's calculate GCF of 7565,4337

Greatest Common Factor (GCF) of 7565,4337 By Common Division

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

Greatest Common Factor of 7565,4337 By Matching Biggest Common Factor Method

Now, list down the factors of 7565

1,5,17,85,89,445,1513,7565

Now, list down the factors of 4337

1,4337

Greatest Common Factor

We found the factors 7565,4337 . The biggest common factor number is the GCF number.
So the greatest common factor 7565,4337 is 1.

Lets's calculate LCM of 224,8432

Lowest Common Multiple of 224,8432 using Common Division

2	224, 8432
2	112, 4216
2	56, 2108
2	28, 1054
	14, 527

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 14 x 527 = 118048

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/118048

Therefore, the GCF of Fractions 7565/224,4337/8432 is 1/118048

Least Common Multiple of 224,8432 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 224,8432 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(224,8432) = 16

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

GCF(224,8432) x common factors =16 x 1 = 16

LCM(224,8432) = ( 224 × 8432 ) / 16

LCM(224,8432) = 1888768 / 16

LCM(224,8432) = 118048

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 7565/224, 4337/8432

1. What is the HCF of 7565,4337?

The HCF of 7565,4337 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 7565/224, 4337/8432?

Answer: GCF of Numerators as per given numbers 7565/224, 4337/8432 is

GCF of Numerators i.e. for 7565,4337 is 1

LCM of denominators i.e. for 224,8432 is 118048.

Thus, GCF of Fractions is 1/118048.Finally, GCF of Fractions for 7565/224, 4337/8432 is 1/118048.