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GCF of 8999/883, 8107/577

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 8999/883, 8107/577 i.e 1/509491 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8999/883, 8107/577.

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 8999/883,8107/577?

Given fractions are 8999/883,8107/577

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 8999/883,8107/577, numerators are 8999,8107

Denominators are 883,577

The GCF of 8999,8107 is 1 .

LCM of 883,577 is 509491.

The greatest common factor of 8999/883,8107/577 = [GCF of 8999,8107]/[LCM of 883,577]= 1/509491

Therefore, the GCF of 8999/883,8107/577 is 1/509491.

Greatest Common Factor of 8999,8107

To find the highest common factor of 8999,8107, we have to find the factors of both numbers and list the highest common factor.

The factors of 8999 are 1, 8999

The factors of 8107 are 1, 11, 67, 121, 737, 8107

The HCF of 8999,8107 is 1.

Lets's calculate GCF of 8999,8107

Greatest Common Factor (GCF) of 8999,8107 By Common Division

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

Greatest Common Factor of 8999,8107 By Matching Biggest Common Factor Method

Greatest Common Factor of 8999,8107 By Matching Biggest Common Factor Method

Now, list down the factors of 8999

:

1,8999

Now, list down the factors of 8107

:

1,11,67,121,737,8107

Greatest Common Factor

We found the factors 8999,8107 . The biggest common factor number is the GCF number.
So the greatest common factor 8999,8107 is 1.

Lets's calculate LCM of 883,577

Lowest Common Multiple of 883,577 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 509491

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/509491

Therefore, the GCF of Fractions 8999/883,8107/577 is 1/509491

Least Common Multiple of 883,577 with GCF Formula

Least Common Multiple of 883,577 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 883,577 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(883,577) = 1

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

GCF(883,577) x common factors =1 x 1 = 1

LCM(883,577) = ( 883 × 577 ) / 1

LCM(883,577) = 509491 / 1

LCM(883,577) = 509491


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FAQs on GCF of Fractions of 8999/883, 8107/577

1. What is the HCF of 8999,8107?

The HCF of 8999,8107 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 8999/883, 8107/577?

Answer: GCF of Numerators as per given numbers 8999/883, 8107/577 is

GCF of Numerators i.e. for 8999,8107 is 1

LCM of denominators i.e. for 883,577 is 509491.

Thus, GCF of Fractions is 1/509491.Finally, GCF of Fractions for 8999/883, 8107/577 is 1/509491.