How to Find GCF of 9829/418, 5286/941?

GCF of 9829/418, 5286/941

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 9829/418, 5286/941 i.e 1/393338 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9829/418, 5286/941.

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 9829/418,5286/941?

Given fractions are 9829/418,5286/941

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 9829/418,5286/941, numerators are 9829,5286

Denominators are 418,941

The GCF of 9829,5286 is 1 .

LCM of 418,941 is 393338.

The greatest common factor of 9829/418,5286/941 = [GCF of 9829,5286]/[LCM of 418,941]= 1/393338

Therefore, the GCF of 9829/418,5286/941 is 1/393338.

Greatest Common Factor of 9829,5286

To find the highest common factor of 9829,5286, we have to find the factors of both numbers and list the highest common factor.

The factors of 9829 are 1, 9829

The factors of 5286 are 1, 2, 3, 6, 881, 1762, 2643, 5286

The HCF of 9829,5286 is 1.

Lets's calculate GCF of 9829,5286

Greatest Common Factor (GCF) of 9829,5286 By Common Division

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

Greatest Common Factor of 9829,5286 By Matching Biggest Common Factor Method

Now, list down the factors of 9829

1,9829

Now, list down the factors of 5286

1,2,3,6,881,1762,2643,5286

Greatest Common Factor

We found the factors 9829,5286 . The biggest common factor number is the GCF number.
So the greatest common factor 9829,5286 is 1.

Lets's calculate LCM of 418,941

Lowest Common Multiple of 418,941 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 393338

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/393338

Therefore, the GCF of Fractions 9829/418,5286/941 is 1/393338

Least Common Multiple of 418,941 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 418,941 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(418,941) = 1

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

GCF(418,941) x common factors =1 x 1 = 1

LCM(418,941) = ( 418 × 941 ) / 1

LCM(418,941) = 393338 / 1

LCM(418,941) = 393338

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FAQs on GCF of Fractions of 9829/418, 5286/941

1. What is the HCF of 9829,5286?

The HCF of 9829,5286 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 9829/418, 5286/941?

Answer: GCF of Numerators as per given numbers 9829/418, 5286/941 is

GCF of Numerators i.e. for 9829,5286 is 1

LCM of denominators i.e. for 418,941 is 393338.

Thus, GCF of Fractions is 1/393338.Finally, GCF of Fractions for 9829/418, 5286/941 is 1/393338.