How to Find GCF of 9638/428, 9851/8936?

GCF of 9638/428, 9851/8936

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 9638/428, 9851/8936 i.e 1/956152 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9638/428, 9851/8936.

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 9638/428,9851/8936?

Given fractions are 9638/428,9851/8936

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 9638/428,9851/8936, numerators are 9638,9851

Denominators are 428,8936

The GCF of 9638,9851 is 1 .

LCM of 428,8936 is 956152.

The greatest common factor of 9638/428,9851/8936 = [GCF of 9638,9851]/[LCM of 428,8936]= 1/956152

Therefore, the GCF of 9638/428,9851/8936 is 1/956152.

Greatest Common Factor of 9638,9851

To find the highest common factor of 9638,9851, we have to find the factors of both numbers and list the highest common factor.

The factors of 9638 are 1, 2, 61, 79, 122, 158, 4819, 9638

The factors of 9851 are 1, 9851

The HCF of 9638,9851 is 1.

Lets's calculate GCF of 9638,9851

Greatest Common Factor (GCF) of 9638,9851 By Common Division

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

Greatest Common Factor of 9638,9851 By Matching Biggest Common Factor Method

Now, list down the factors of 9638

1,2,61,79,122,158,4819,9638

Now, list down the factors of 9851

1,9851

Greatest Common Factor

We found the factors 9638,9851 . The biggest common factor number is the GCF number.
So the greatest common factor 9638,9851 is 1.

Lets's calculate LCM of 428,8936

Lowest Common Multiple of 428,8936 using Common Division

2	428, 8936
2	214, 4468
	107, 2234

∴ So the LCM of the given numbers is 2 x 2 x 107 x 2234 = 956152

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/956152

Therefore, the GCF of Fractions 9638/428,9851/8936 is 1/956152

Least Common Multiple of 428,8936 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 428,8936 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(428,8936) = 4

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

GCF(428,8936) x common factors =4 x 1 = 4

LCM(428,8936) = ( 428 × 8936 ) / 4

LCM(428,8936) = 3824608 / 4

LCM(428,8936) = 956152

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FAQs on GCF of Fractions of 9638/428, 9851/8936

1. What is the HCF of 9638,9851?

The HCF of 9638,9851 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 9638/428, 9851/8936?

Answer: GCF of Numerators as per given numbers 9638/428, 9851/8936 is

GCF of Numerators i.e. for 9638,9851 is 1

LCM of denominators i.e. for 428,8936 is 956152.

Thus, GCF of Fractions is 1/956152.Finally, GCF of Fractions for 9638/428, 9851/8936 is 1/956152.