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GCF of 9901/873, 1007/6019

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 9901/873, 1007/6019 i.e 1/5254587 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9901/873, 1007/6019.

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 9901/873,1007/6019?

Given fractions are 9901/873,1007/6019

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 9901/873,1007/6019, numerators are 9901,1007

Denominators are 873,6019

The GCF of 9901,1007 is 1 .

LCM of 873,6019 is 5254587.

The greatest common factor of 9901/873,1007/6019 = [GCF of 9901,1007]/[LCM of 873,6019]= 1/5254587

Therefore, the GCF of 9901/873,1007/6019 is 1/5254587.

Greatest Common Factor of 9901,1007

To find the highest common factor of 9901,1007, we have to find the factors of both numbers and list the highest common factor.

The factors of 9901 are 1, 9901

The factors of 1007 are 1, 19, 53, 1007

The HCF of 9901,1007 is 1.

Lets's calculate GCF of 9901,1007

Greatest Common Factor (GCF) of 9901,1007 By Common Division

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

Greatest Common Factor of 9901,1007 By Matching Biggest Common Factor Method

Greatest Common Factor of 9901,1007 By Matching Biggest Common Factor Method

Now, list down the factors of 9901

:

1,9901

Now, list down the factors of 1007

:

1,19,53,1007

Greatest Common Factor

We found the factors 9901,1007 . The biggest common factor number is the GCF number.
So the greatest common factor 9901,1007 is 1.

Lets's calculate LCM of 873,6019

Lowest Common Multiple of 873,6019 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5254587

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5254587

Therefore, the GCF of Fractions 9901/873,1007/6019 is 1/5254587

Least Common Multiple of 873,6019 with GCF Formula

Least Common Multiple of 873,6019 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 873,6019 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(873,6019) = 1

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

GCF(873,6019) x common factors =1 x 1 = 1

LCM(873,6019) = ( 873 × 6019 ) / 1

LCM(873,6019) = 5254587 / 1

LCM(873,6019) = 5254587


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 9901/873, 1007/6019

1. What is the HCF of 9901,1007?

The HCF of 9901,1007 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 9901/873, 1007/6019?

Answer: GCF of Numerators as per given numbers 9901/873, 1007/6019 is

GCF of Numerators i.e. for 9901,1007 is 1

LCM of denominators i.e. for 873,6019 is 5254587.

Thus, GCF of Fractions is 1/5254587.Finally, GCF of Fractions for 9901/873, 1007/6019 is 1/5254587.