How to Find GCF of 9635/936, 6007/998?

GCF of 9635/936, 6007/998

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 9635/936, 6007/998 i.e 1/467064 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9635/936, 6007/998.

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 9635/936,6007/998?

Given fractions are 9635/936,6007/998

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 9635/936,6007/998, numerators are 9635,6007

Denominators are 936,998

The GCF of 9635,6007 is 1 .

LCM of 936,998 is 467064.

The greatest common factor of 9635/936,6007/998 = [GCF of 9635,6007]/[LCM of 936,998]= 1/467064

Therefore, the GCF of 9635/936,6007/998 is 1/467064.

Greatest Common Factor of 9635,6007

To find the highest common factor of 9635,6007, we have to find the factors of both numbers and list the highest common factor.

The factors of 9635 are 1, 5, 41, 47, 205, 235, 1927, 9635

The factors of 6007 are 1, 6007

The HCF of 9635,6007 is 1.

Lets's calculate GCF of 9635,6007

Greatest Common Factor (GCF) of 9635,6007 By Common Division

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

Greatest Common Factor of 9635,6007 By Matching Biggest Common Factor Method

Now, list down the factors of 9635

1,5,41,47,205,235,1927,9635

Now, list down the factors of 6007

1,6007

Greatest Common Factor

We found the factors 9635,6007 . The biggest common factor number is the GCF number.
So the greatest common factor 9635,6007 is 1.

Lets's calculate LCM of 936,998

Lowest Common Multiple of 936,998 using Common Division

2	936, 998
	468, 499

∴ So the LCM of the given numbers is 2 x 468 x 499 = 467064

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/467064

Therefore, the GCF of Fractions 9635/936,6007/998 is 1/467064

Least Common Multiple of 936,998 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 936,998 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(936,998) = 2

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

GCF(936,998) x common factors =2 x 1 = 2

LCM(936,998) = ( 936 × 998 ) / 2

LCM(936,998) = 934128 / 2

LCM(936,998) = 467064

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FAQs on GCF of Fractions of 9635/936, 6007/998

1. What is the HCF of 9635,6007?

The HCF of 9635,6007 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 9635/936, 6007/998?

Answer: GCF of Numerators as per given numbers 9635/936, 6007/998 is

GCF of Numerators i.e. for 9635,6007 is 1

LCM of denominators i.e. for 936,998 is 467064.

Thus, GCF of Fractions is 1/467064.Finally, GCF of Fractions for 9635/936, 6007/998 is 1/467064.