How to Find GCF of 1381/383, 1892/7839?

GCF of 1381/383, 1892/7839

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 1381/383, 1892/7839 i.e 1/3002337 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1381/383, 1892/7839.

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 1381/383,1892/7839?

Given fractions are 1381/383,1892/7839

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 1381/383,1892/7839, numerators are 1381,1892

Denominators are 383,7839

The GCF of 1381,1892 is 1 .

LCM of 383,7839 is 3002337.

The greatest common factor of 1381/383,1892/7839 = [GCF of 1381,1892]/[LCM of 383,7839]= 1/3002337

Therefore, the GCF of 1381/383,1892/7839 is 1/3002337.

Greatest Common Factor of 1381,1892

To find the highest common factor of 1381,1892, we have to find the factors of both numbers and list the highest common factor.

The factors of 1381 are 1, 1381

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

The HCF of 1381,1892 is 1.

Lets's calculate GCF of 1381,1892

Greatest Common Factor (GCF) of 1381,1892 By Common Division

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

Greatest Common Factor of 1381,1892 By Matching Biggest Common Factor Method

Now, list down the factors of 1381

1,1381

Now, list down the factors of 1892

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

Greatest Common Factor

We found the factors 1381,1892 . The biggest common factor number is the GCF number.
So the greatest common factor 1381,1892 is 1.

Lets's calculate LCM of 383,7839

Lowest Common Multiple of 383,7839 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3002337

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3002337

Therefore, the GCF of Fractions 1381/383,1892/7839 is 1/3002337

Least Common Multiple of 383,7839 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 383,7839 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(383,7839) = 1

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

GCF(383,7839) x common factors =1 x 1 = 1

LCM(383,7839) = ( 383 × 7839 ) / 1

LCM(383,7839) = 3002337 / 1

LCM(383,7839) = 3002337

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FAQs on GCF of Fractions of 1381/383, 1892/7839

1. What is the HCF of 1381,1892?

The HCF of 1381,1892 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 1381/383, 1892/7839?

Answer: GCF of Numerators as per given numbers 1381/383, 1892/7839 is

GCF of Numerators i.e. for 1381,1892 is 1

LCM of denominators i.e. for 383,7839 is 3002337.

Thus, GCF of Fractions is 1/3002337.Finally, GCF of Fractions for 1381/383, 1892/7839 is 1/3002337.