How to Find GCF of 1892/523, 2781/1195?

GCF of 1892/523, 2781/1195

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 1892/523, 2781/1195 i.e 1/624985 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1892/523, 2781/1195.

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 1892/523,2781/1195?

Given fractions are 1892/523,2781/1195

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 1892/523,2781/1195, numerators are 1892,2781

Denominators are 523,1195

The GCF of 1892,2781 is 1 .

LCM of 523,1195 is 624985.

The greatest common factor of 1892/523,2781/1195 = [GCF of 1892,2781]/[LCM of 523,1195]= 1/624985

Therefore, the GCF of 1892/523,2781/1195 is 1/624985.

Greatest Common Factor of 1892,2781

To find the highest common factor of 1892,2781, we have to find the factors of both numbers and list the highest common factor.

The factors of 1892 are 1, 2, 4, 11, 22, 43, 44, 86, 172, 473, 946, 1892

The factors of 2781 are 1, 3, 9, 27, 103, 309, 927, 2781

The HCF of 1892,2781 is 1.

Lets's calculate GCF of 1892,2781

Greatest Common Factor (GCF) of 1892,2781 By Common Division

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

Greatest Common Factor of 1892,2781 By Matching Biggest Common Factor Method

Now, list down the factors of 1892

1,2,4,11,22,43,44,86,172,473,946,1892

Now, list down the factors of 2781

1,3,9,27,103,309,927,2781

Greatest Common Factor

We found the factors 1892,2781 . The biggest common factor number is the GCF number.
So the greatest common factor 1892,2781 is 1.

Lets's calculate LCM of 523,1195

Lowest Common Multiple of 523,1195 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 624985

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/624985

Therefore, the GCF of Fractions 1892/523,2781/1195 is 1/624985

Least Common Multiple of 523,1195 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 523,1195 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(523,1195) = 1

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

GCF(523,1195) x common factors =1 x 1 = 1

LCM(523,1195) = ( 523 × 1195 ) / 1

LCM(523,1195) = 624985 / 1

LCM(523,1195) = 624985

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FAQs on GCF of Fractions of 1892/523, 2781/1195

1. What is the HCF of 1892,2781?

The HCF of 1892,2781 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 1892/523, 2781/1195?

Answer: GCF of Numerators as per given numbers 1892/523, 2781/1195 is

GCF of Numerators i.e. for 1892,2781 is 1

LCM of denominators i.e. for 523,1195 is 624985.

Thus, GCF of Fractions is 1/624985.Finally, GCF of Fractions for 1892/523, 2781/1195 is 1/624985.