How to Find GCF of 943/284, 9128/588?

GCF of 943/284, 9128/588

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 943/284, 9128/588 i.e 1/41748 easily. The following is the detailed procedure to determine the greatest common factor of fractions 943/284, 9128/588.

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 943/284,9128/588?

Given fractions are 943/284,9128/588

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 943/284,9128/588, numerators are 943,9128

Denominators are 284,588

The GCF of 943,9128 is 1 .

LCM of 284,588 is 41748.

The greatest common factor of 943/284,9128/588 = [GCF of 943,9128]/[LCM of 284,588]= 1/41748

Therefore, the GCF of 943/284,9128/588 is 1/41748.

Greatest Common Factor of 943,9128

To find the highest common factor of 943,9128, we have to find the factors of both numbers and list the highest common factor.

The factors of 943 are 1, 23, 41, 943

The factors of 9128 are 1, 2, 4, 7, 8, 14, 28, 56, 163, 326, 652, 1141, 1304, 2282, 4564, 9128

The HCF of 943,9128 is 1.

Lets's calculate GCF of 943,9128

Greatest Common Factor (GCF) of 943,9128 By Common Division

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

Greatest Common Factor of 943,9128 By Matching Biggest Common Factor Method

Now, list down the factors of 943

1,23,41,943

Now, list down the factors of 9128

1,2,4,7,8,14,28,56,163,326,652,1141,1304,2282,4564,9128

Greatest Common Factor

We found the factors 943,9128 . The biggest common factor number is the GCF number.
So the greatest common factor 943,9128 is 1.

Lets's calculate LCM of 284,588

Lowest Common Multiple of 284,588 using Common Division

2	284, 588
2	142, 294
	71, 147

∴ So the LCM of the given numbers is 2 x 2 x 71 x 147 = 41748

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/41748

Therefore, the GCF of Fractions 943/284,9128/588 is 1/41748

Least Common Multiple of 284,588 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 284,588 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(284,588) = 4

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

GCF(284,588) x common factors =4 x 1 = 4

LCM(284,588) = ( 284 × 588 ) / 4

LCM(284,588) = 166992 / 4

LCM(284,588) = 41748

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FAQs on GCF of Fractions of 943/284, 9128/588

1. What is the HCF of 943,9128?

The HCF of 943,9128 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 943/284, 9128/588?

Answer: GCF of Numerators as per given numbers 943/284, 9128/588 is

GCF of Numerators i.e. for 943,9128 is 1

LCM of denominators i.e. for 284,588 is 41748.

Thus, GCF of Fractions is 1/41748.Finally, GCF of Fractions for 943/284, 9128/588 is 1/41748.