How to Find GCF of 1891/927, 5201/1126?

GCF of 1891/927, 5201/1126

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 1891/927, 5201/1126 i.e 1/1043802 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1891/927, 5201/1126.

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 1891/927,5201/1126?

Given fractions are 1891/927,5201/1126

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 1891/927,5201/1126, numerators are 1891,5201

Denominators are 927,1126

The GCF of 1891,5201 is 1 .

LCM of 927,1126 is 1043802.

The greatest common factor of 1891/927,5201/1126 = [GCF of 1891,5201]/[LCM of 927,1126]= 1/1043802

Therefore, the GCF of 1891/927,5201/1126 is 1/1043802.

Greatest Common Factor of 1891,5201

To find the highest common factor of 1891,5201, we have to find the factors of both numbers and list the highest common factor.

The factors of 1891 are 1, 31, 61, 1891

The factors of 5201 are 1, 7, 743, 5201

The HCF of 1891,5201 is 1.

Lets's calculate GCF of 1891,5201

Greatest Common Factor (GCF) of 1891,5201 By Common Division

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

Greatest Common Factor of 1891,5201 By Matching Biggest Common Factor Method

Now, list down the factors of 1891

1,31,61,1891

Now, list down the factors of 5201

1,7,743,5201

Greatest Common Factor

We found the factors 1891,5201 . The biggest common factor number is the GCF number.
So the greatest common factor 1891,5201 is 1.

Lets's calculate LCM of 927,1126

Lowest Common Multiple of 927,1126 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1043802

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1043802

Therefore, the GCF of Fractions 1891/927,5201/1126 is 1/1043802

Least Common Multiple of 927,1126 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 927,1126 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(927,1126) = 1

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

GCF(927,1126) x common factors =1 x 1 = 1

LCM(927,1126) = ( 927 × 1126 ) / 1

LCM(927,1126) = 1043802 / 1

LCM(927,1126) = 1043802

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FAQs on GCF of Fractions of 1891/927, 5201/1126

1. What is the HCF of 1891,5201?

The HCF of 1891,5201 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 1891/927, 5201/1126?

Answer: GCF of Numerators as per given numbers 1891/927, 5201/1126 is

GCF of Numerators i.e. for 1891,5201 is 1

LCM of denominators i.e. for 927,1126 is 1043802.

Thus, GCF of Fractions is 1/1043802.Finally, GCF of Fractions for 1891/927, 5201/1126 is 1/1043802.