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GCF of 879/494, 8999/9285

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 879/494, 8999/9285 i.e 1/4586790 easily. The following is the detailed procedure to determine the greatest common factor of fractions 879/494, 8999/9285.

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 879/494,8999/9285?

Given fractions are 879/494,8999/9285

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 879/494,8999/9285, numerators are 879,8999

Denominators are 494,9285

The GCF of 879,8999 is 1 .

LCM of 494,9285 is 4586790.

The greatest common factor of 879/494,8999/9285 = [GCF of 879,8999]/[LCM of 494,9285]= 1/4586790

Therefore, the GCF of 879/494,8999/9285 is 1/4586790.

Greatest Common Factor of 879,8999

To find the highest common factor of 879,8999, we have to find the factors of both numbers and list the highest common factor.

The factors of 879 are 1, 3, 293, 879

The factors of 8999 are 1, 8999

The HCF of 879,8999 is 1.

Lets's calculate GCF of 879,8999

Greatest Common Factor (GCF) of 879,8999 By Common Division

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

Greatest Common Factor of 879,8999 By Matching Biggest Common Factor Method

Greatest Common Factor of 879,8999 By Matching Biggest Common Factor Method

Now, list down the factors of 879

:

1,3,293,879

Now, list down the factors of 8999

:

1,8999

Greatest Common Factor

We found the factors 879,8999 . The biggest common factor number is the GCF number.
So the greatest common factor 879,8999 is 1.

Lets's calculate LCM of 494,9285

Lowest Common Multiple of 494,9285 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4586790

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4586790

Therefore, the GCF of Fractions 879/494,8999/9285 is 1/4586790

Least Common Multiple of 494,9285 with GCF Formula

Least Common Multiple of 494,9285 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 494,9285 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(494,9285) = 1

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

GCF(494,9285) x common factors =1 x 1 = 1

LCM(494,9285) = ( 494 × 9285 ) / 1

LCM(494,9285) = 4586790 / 1

LCM(494,9285) = 4586790


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FAQs on GCF of Fractions of 879/494, 8999/9285

1. What is the HCF of 879,8999?

The HCF of 879,8999 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 879/494, 8999/9285?

Answer: GCF of Numerators as per given numbers 879/494, 8999/9285 is

GCF of Numerators i.e. for 879,8999 is 1

LCM of denominators i.e. for 494,9285 is 4586790.

Thus, GCF of Fractions is 1/4586790.Finally, GCF of Fractions for 879/494, 8999/9285 is 1/4586790.