How to Find GCF of 9228/780, 5737/3896?

GCF of 9228/780, 5737/3896

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 9228/780, 5737/3896 i.e 1/759720 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9228/780, 5737/3896.

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 9228/780,5737/3896?

Given fractions are 9228/780,5737/3896

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 9228/780,5737/3896, numerators are 9228,5737

Denominators are 780,3896

The GCF of 9228,5737 is 1 .

LCM of 780,3896 is 759720.

The greatest common factor of 9228/780,5737/3896 = [GCF of 9228,5737]/[LCM of 780,3896]= 1/759720

Therefore, the GCF of 9228/780,5737/3896 is 1/759720.

Greatest Common Factor of 9228,5737

To find the highest common factor of 9228,5737, we have to find the factors of both numbers and list the highest common factor.

The factors of 9228 are 1, 2, 3, 4, 6, 12, 769, 1538, 2307, 3076, 4614, 9228

The factors of 5737 are 1, 5737

The HCF of 9228,5737 is 1.

Lets's calculate GCF of 9228,5737

Greatest Common Factor (GCF) of 9228,5737 By Common Division

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

Greatest Common Factor of 9228,5737 By Matching Biggest Common Factor Method

Now, list down the factors of 9228

1,2,3,4,6,12,769,1538,2307,3076,4614,9228

Now, list down the factors of 5737

1,5737

Greatest Common Factor

We found the factors 9228,5737 . The biggest common factor number is the GCF number.
So the greatest common factor 9228,5737 is 1.

Lets's calculate LCM of 780,3896

Lowest Common Multiple of 780,3896 using Common Division

2	780, 3896
2	390, 1948
	195, 974

∴ So the LCM of the given numbers is 2 x 2 x 195 x 974 = 759720

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/759720

Therefore, the GCF of Fractions 9228/780,5737/3896 is 1/759720

Least Common Multiple of 780,3896 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 780,3896 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(780,3896) = 4

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

GCF(780,3896) x common factors =4 x 1 = 4

LCM(780,3896) = ( 780 × 3896 ) / 4

LCM(780,3896) = 3038880 / 4

LCM(780,3896) = 759720

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FAQs on GCF of Fractions of 9228/780, 5737/3896

1. What is the HCF of 9228,5737?

The HCF of 9228,5737 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 9228/780, 5737/3896?

Answer: GCF of Numerators as per given numbers 9228/780, 5737/3896 is

GCF of Numerators i.e. for 9228,5737 is 1

LCM of denominators i.e. for 780,3896 is 759720.

Thus, GCF of Fractions is 1/759720.Finally, GCF of Fractions for 9228/780, 5737/3896 is 1/759720.