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GCF of 908/404, 9182/8581

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 908/404, 9182/8581 i.e 2/3466724 easily. The following is the detailed procedure to determine the greatest common factor of fractions 908/404, 9182/8581.

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 908/404,9182/8581?

Given fractions are 908/404,9182/8581

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 908/404,9182/8581, numerators are 908,9182

Denominators are 404,8581

The GCF of 908,9182 is 2 .

LCM of 404,8581 is 3466724.

The greatest common factor of 908/404,9182/8581 = [GCF of 908,9182]/[LCM of 404,8581]= 2/3466724

Therefore, the GCF of 908/404,9182/8581 is 2/3466724.

Greatest Common Factor of 908,9182

To find the highest common factor of 908,9182, we have to find the factors of both numbers and list the highest common factor.

The factors of 908 are 1, 2, 4, 227, 454, 908

The factors of 9182 are 1, 2, 4591, 9182

The HCF of 908,9182 is 2.

Lets's calculate GCF of 908,9182

Greatest Common Factor (GCF) of 908,9182 By Common Division

2 908, 9182
454, 4591

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

Greatest Common Factor of 908,9182 By Matching Biggest Common Factor Method

Greatest Common Factor of 908,9182 By Matching Biggest Common Factor Method

Now, list down the factors of 908

:

1,2,4,227,454,908

Now, list down the factors of 9182

:

1,2,4591,9182

Greatest Common Factor

We found the factors 908,9182 . The biggest common factor number is the GCF number.
So the greatest common factor 908,9182 is 2.

Lets's calculate LCM of 404,8581

Lowest Common Multiple of 404,8581 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3466724

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3466724

Therefore, the GCF of Fractions 908/404,9182/8581 is 2/3466724

Least Common Multiple of 404,8581 with GCF Formula

Least Common Multiple of 404,8581 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 404,8581 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(404,8581) = 1

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

GCF(404,8581) x common factors =1 x 1 = 1

LCM(404,8581) = ( 404 × 8581 ) / 1

LCM(404,8581) = 3466724 / 1

LCM(404,8581) = 3466724


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FAQs on GCF of Fractions of 908/404, 9182/8581

1. What is the HCF of 908,9182?

The HCF of 908,9182 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 908/404, 9182/8581?

Answer: GCF of Numerators as per given numbers 908/404, 9182/8581 is

GCF of Numerators i.e. for 908,9182 is 2

LCM of denominators i.e. for 404,8581 is 3466724.

Thus, GCF of Fractions is 2/3466724.Finally, GCF of Fractions for 908/404, 9182/8581 is 2/3466724.