How to Find GCF of 3844/158, 2713/5393?

GCF of 3844/158, 2713/5393

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 3844/158, 2713/5393 i.e 1/852094 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3844/158, 2713/5393.

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 3844/158,2713/5393?

Given fractions are 3844/158,2713/5393

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 3844/158,2713/5393, numerators are 3844,2713

Denominators are 158,5393

The GCF of 3844,2713 is 1 .

LCM of 158,5393 is 852094.

The greatest common factor of 3844/158,2713/5393 = [GCF of 3844,2713]/[LCM of 158,5393]= 1/852094

Therefore, the GCF of 3844/158,2713/5393 is 1/852094.

Greatest Common Factor of 3844,2713

To find the highest common factor of 3844,2713, we have to find the factors of both numbers and list the highest common factor.

The factors of 3844 are 1, 2, 4, 31, 62, 124, 961, 1922, 3844

The factors of 2713 are 1, 2713

The HCF of 3844,2713 is 1.

Lets's calculate GCF of 3844,2713

Greatest Common Factor (GCF) of 3844,2713 By Common Division

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

Greatest Common Factor of 3844,2713 By Matching Biggest Common Factor Method

Now, list down the factors of 3844

1,2,4,31,62,124,961,1922,3844

Now, list down the factors of 2713

1,2713

Greatest Common Factor

We found the factors 3844,2713 . The biggest common factor number is the GCF number.
So the greatest common factor 3844,2713 is 1.

Lets's calculate LCM of 158,5393

Lowest Common Multiple of 158,5393 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 852094

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/852094

Therefore, the GCF of Fractions 3844/158,2713/5393 is 1/852094

Least Common Multiple of 158,5393 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 158,5393 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(158,5393) = 1

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

GCF(158,5393) x common factors =1 x 1 = 1

LCM(158,5393) = ( 158 × 5393 ) / 1

LCM(158,5393) = 852094 / 1

LCM(158,5393) = 852094

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FAQs on GCF of Fractions of 3844/158, 2713/5393

1. What is the HCF of 3844,2713?

The HCF of 3844,2713 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 3844/158, 2713/5393?

Answer: GCF of Numerators as per given numbers 3844/158, 2713/5393 is

GCF of Numerators i.e. for 3844,2713 is 1

LCM of denominators i.e. for 158,5393 is 852094.

Thus, GCF of Fractions is 1/852094.Finally, GCF of Fractions for 3844/158, 2713/5393 is 1/852094.