How to Find GCF of 4379/160, 9029/936?

GCF of 4379/160, 9029/936

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 4379/160, 9029/936 i.e 1/18720 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4379/160, 9029/936.

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 4379/160,9029/936?

Given fractions are 4379/160,9029/936

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 4379/160,9029/936, numerators are 4379,9029

Denominators are 160,936

The GCF of 4379,9029 is 1 .

LCM of 160,936 is 18720.

The greatest common factor of 4379/160,9029/936 = [GCF of 4379,9029]/[LCM of 160,936]= 1/18720

Therefore, the GCF of 4379/160,9029/936 is 1/18720.

Greatest Common Factor of 4379,9029

To find the highest common factor of 4379,9029, we have to find the factors of both numbers and list the highest common factor.

The factors of 4379 are 1, 29, 151, 4379

The factors of 9029 are 1, 9029

The HCF of 4379,9029 is 1.

Lets's calculate GCF of 4379,9029

Greatest Common Factor (GCF) of 4379,9029 By Common Division

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

Greatest Common Factor of 4379,9029 By Matching Biggest Common Factor Method

Now, list down the factors of 4379

1,29,151,4379

Now, list down the factors of 9029

1,9029

Greatest Common Factor

We found the factors 4379,9029 . The biggest common factor number is the GCF number.
So the greatest common factor 4379,9029 is 1.

Lets's calculate LCM of 160,936

Lowest Common Multiple of 160,936 using Common Division

2	160, 936
2	80, 468
2	40, 234
	20, 117

∴ So the LCM of the given numbers is 2 x 2 x 2 x 20 x 117 = 18720

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18720

Therefore, the GCF of Fractions 4379/160,9029/936 is 1/18720

Least Common Multiple of 160,936 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 160,936 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(160,936) = 8

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

GCF(160,936) x common factors =8 x 1 = 8

LCM(160,936) = ( 160 × 936 ) / 8

LCM(160,936) = 149760 / 8

LCM(160,936) = 18720

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FAQs on GCF of Fractions of 4379/160, 9029/936

1. What is the HCF of 4379,9029?

The HCF of 4379,9029 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 4379/160, 9029/936?

Answer: GCF of Numerators as per given numbers 4379/160, 9029/936 is

GCF of Numerators i.e. for 4379,9029 is 1

LCM of denominators i.e. for 160,936 is 18720.

Thus, GCF of Fractions is 1/18720.Finally, GCF of Fractions for 4379/160, 9029/936 is 1/18720.