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GCF of 887/20, 331/9129

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 887/20, 331/9129 i.e 1/182580 easily. The following is the detailed procedure to determine the greatest common factor of fractions 887/20, 331/9129.

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 887/20,331/9129?

Given fractions are 887/20,331/9129

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 887/20,331/9129, numerators are 887,331

Denominators are 20,9129

The GCF of 887,331 is 1 .

LCM of 20,9129 is 182580.

The greatest common factor of 887/20,331/9129 = [GCF of 887,331]/[LCM of 20,9129]= 1/182580

Therefore, the GCF of 887/20,331/9129 is 1/182580.

Greatest Common Factor of 887,331

To find the highest common factor of 887,331, we have to find the factors of both numbers and list the highest common factor.

The factors of 887 are 1, 887

The factors of 331 are 1, 331

The HCF of 887,331 is 1.

Lets's calculate GCF of 887,331

Greatest Common Factor (GCF) of 887,331 By Common Division

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

Greatest Common Factor of 887,331 By Matching Biggest Common Factor Method

Greatest Common Factor of 887,331 By Matching Biggest Common Factor Method

Now, list down the factors of 887

:

1,887

Now, list down the factors of 331

:

1,331

Greatest Common Factor

We found the factors 887,331 . The biggest common factor number is the GCF number.
So the greatest common factor 887,331 is 1.

Lets's calculate LCM of 20,9129

Lowest Common Multiple of 20,9129 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 182580

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/182580

Therefore, the GCF of Fractions 887/20,331/9129 is 1/182580

Least Common Multiple of 20,9129 with GCF Formula

Least Common Multiple of 20,9129 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 20,9129 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,9129) = 1

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

GCF(20,9129) x common factors =1 x 1 = 1

LCM(20,9129) = ( 20 × 9129 ) / 1

LCM(20,9129) = 182580 / 1

LCM(20,9129) = 182580


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FAQs on GCF of Fractions of 887/20, 331/9129

1. What is the HCF of 887,331?

The HCF of 887,331 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 887/20, 331/9129?

Answer: GCF of Numerators as per given numbers 887/20, 331/9129 is

GCF of Numerators i.e. for 887,331 is 1

LCM of denominators i.e. for 20,9129 is 182580.

Thus, GCF of Fractions is 1/182580.Finally, GCF of Fractions for 887/20, 331/9129 is 1/182580.