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GCF of 259/187, 8831/8683

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 259/187, 8831/8683 i.e 1/1623721 easily. The following is the detailed procedure to determine the greatest common factor of fractions 259/187, 8831/8683.

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 259/187,8831/8683?

Given fractions are 259/187,8831/8683

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 259/187,8831/8683, numerators are 259,8831

Denominators are 187,8683

The GCF of 259,8831 is 1 .

LCM of 187,8683 is 1623721.

The greatest common factor of 259/187,8831/8683 = [GCF of 259,8831]/[LCM of 187,8683]= 1/1623721

Therefore, the GCF of 259/187,8831/8683 is 1/1623721.

Greatest Common Factor of 259,8831

To find the highest common factor of 259,8831, we have to find the factors of both numbers and list the highest common factor.

The factors of 259 are 1, 7, 37, 259

The factors of 8831 are 1, 8831

The HCF of 259,8831 is 1.

Lets's calculate GCF of 259,8831

Greatest Common Factor (GCF) of 259,8831 By Common Division

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

Greatest Common Factor of 259,8831 By Matching Biggest Common Factor Method

Greatest Common Factor of 259,8831 By Matching Biggest Common Factor Method

Now, list down the factors of 259

:

1,7,37,259

Now, list down the factors of 8831

:

1,8831

Greatest Common Factor

We found the factors 259,8831 . The biggest common factor number is the GCF number.
So the greatest common factor 259,8831 is 1.

Lets's calculate LCM of 187,8683

Lowest Common Multiple of 187,8683 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1623721

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1623721

Therefore, the GCF of Fractions 259/187,8831/8683 is 1/1623721

Least Common Multiple of 187,8683 with GCF Formula

Least Common Multiple of 187,8683 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 187,8683 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(187,8683) = 1

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

GCF(187,8683) x common factors =1 x 1 = 1

LCM(187,8683) = ( 187 × 8683 ) / 1

LCM(187,8683) = 1623721 / 1

LCM(187,8683) = 1623721


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FAQs on GCF of Fractions of 259/187, 8831/8683

1. What is the HCF of 259,8831?

The HCF of 259,8831 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 259/187, 8831/8683?

Answer: GCF of Numerators as per given numbers 259/187, 8831/8683 is

GCF of Numerators i.e. for 259,8831 is 1

LCM of denominators i.e. for 187,8683 is 1623721.

Thus, GCF of Fractions is 1/1623721.Finally, GCF of Fractions for 259/187, 8831/8683 is 1/1623721.