How to Find GCF of 9189/780, 1831/876?

GCF of 9189/780, 1831/876

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 9189/780, 1831/876 i.e 1/56940 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9189/780, 1831/876.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 9189/780,1831/876?

Given fractions are 9189/780,1831/876

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 9189/780,1831/876, numerators are 9189,1831

Denominators are 780,876

The GCF of 9189,1831 is 1 .

LCM of 780,876 is 56940.

The greatest common factor of 9189/780,1831/876 = [GCF of 9189,1831]/[LCM of 780,876]= 1/56940

Therefore, the GCF of 9189/780,1831/876 is 1/56940.

Greatest Common Factor of 9189,1831

To find the highest common factor of 9189,1831, we have to find the factors of both numbers and list the highest common factor.

The factors of 9189 are 1, 3, 9, 1021, 3063, 9189

The factors of 1831 are 1, 1831

The HCF of 9189,1831 is 1.

Lets's calculate GCF of 9189,1831

Greatest Common Factor (GCF) of 9189,1831 By Common Division

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

Greatest Common Factor of 9189,1831 By Matching Biggest Common Factor Method

Now, list down the factors of 9189

1,3,9,1021,3063,9189

Now, list down the factors of 1831

1,1831

Greatest Common Factor

We found the factors 9189,1831 . The biggest common factor number is the GCF number.
So the greatest common factor 9189,1831 is 1.

Lets's calculate LCM of 780,876

Lowest Common Multiple of 780,876 using Common Division

2	780, 876
2	390, 438
3	195, 219
	65, 73

∴ So the LCM of the given numbers is 2 x 2 x 3 x 65 x 73 = 56940

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/56940

Therefore, the GCF of Fractions 9189/780,1831/876 is 1/56940

Least Common Multiple of 780,876 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 780,876 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(780,876) = 12

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

GCF(780,876) x common factors =12 x 1 = 12

LCM(780,876) = ( 780 × 876 ) / 12

LCM(780,876) = 683280 / 12

LCM(780,876) = 56940

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FAQs on GCF of Fractions of 9189/780, 1831/876

1. What is the HCF of 9189,1831?

The HCF of 9189,1831 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 9189/780, 1831/876?

Answer: GCF of Numerators as per given numbers 9189/780, 1831/876 is

GCF of Numerators i.e. for 9189,1831 is 1

LCM of denominators i.e. for 780,876 is 56940.

Thus, GCF of Fractions is 1/56940.Finally, GCF of Fractions for 9189/780, 1831/876 is 1/56940.