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GCF of 478/581, 942/326

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 478/581, 942/326 i.e 2/189406 easily. The following is the detailed procedure to determine the greatest common factor of fractions 478/581, 942/326.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 478/581,942/326?

Given fractions are 478/581,942/326

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 478/581,942/326, numerators are 478,942

Denominators are 581,326

The GCF of 478,942 is 2 .

LCM of 581,326 is 189406.

The greatest common factor of 478/581,942/326 = [GCF of 478,942]/[LCM of 581,326]= 2/189406

Therefore, the GCF of 478/581,942/326 is 2/189406.

Greatest Common Factor of 478,942

To find the highest common factor of 478,942, we have to find the factors of both numbers and list the highest common factor.

The factors of 478 are 1, 2, 239, 478

The factors of 942 are 1, 2, 3, 6, 157, 314, 471, 942

The HCF of 478,942 is 2.

Lets's calculate GCF of 478,942

Greatest Common Factor (GCF) of 478,942 By Common Division

2 478, 942
239, 471

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

Greatest Common Factor of 478,942 By Matching Biggest Common Factor Method

Greatest Common Factor of 478,942 By Matching Biggest Common Factor Method

Now, list down the factors of 478

:

1,2,239,478

Now, list down the factors of 942

:

1,2,3,6,157,314,471,942

Greatest Common Factor

We found the factors 478,942 . The biggest common factor number is the GCF number.
So the greatest common factor 478,942 is 2.

Lets's calculate LCM of 581,326

Lowest Common Multiple of 581,326 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 189406

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/189406

Therefore, the GCF of Fractions 478/581,942/326 is 2/189406

Least Common Multiple of 581,326 with GCF Formula

Least Common Multiple of 581,326 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 581,326 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(581,326) = 1

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

GCF(581,326) x common factors =1 x 1 = 1

LCM(581,326) = ( 581 × 326 ) / 1

LCM(581,326) = 189406 / 1

LCM(581,326) = 189406


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FAQs on GCF of Fractions of 478/581, 942/326

1. What is the HCF of 478,942?

The HCF of 478,942 is 2

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 478/581, 942/326?

Answer: GCF of Numerators as per given numbers 478/581, 942/326 is

GCF of Numerators i.e. for 478,942 is 2

LCM of denominators i.e. for 581,326 is 189406.

Thus, GCF of Fractions is 2/189406.Finally, GCF of Fractions for 478/581, 942/326 is 2/189406.