How to Find GCF of 3772/151, 6339/4683?

GCF of 3772/151, 6339/4683

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 3772/151, 6339/4683 i.e 1/707133 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3772/151, 6339/4683.

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 3772/151,6339/4683?

Given fractions are 3772/151,6339/4683

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 3772/151,6339/4683, numerators are 3772,6339

Denominators are 151,4683

The GCF of 3772,6339 is 1 .

LCM of 151,4683 is 707133.

The greatest common factor of 3772/151,6339/4683 = [GCF of 3772,6339]/[LCM of 151,4683]= 1/707133

Therefore, the GCF of 3772/151,6339/4683 is 1/707133.

Greatest Common Factor of 3772,6339

To find the highest common factor of 3772,6339, we have to find the factors of both numbers and list the highest common factor.

The factors of 3772 are 1, 2, 4, 23, 41, 46, 82, 92, 164, 943, 1886, 3772

The factors of 6339 are 1, 3, 2113, 6339

The HCF of 3772,6339 is 1.

Lets's calculate GCF of 3772,6339

Greatest Common Factor (GCF) of 3772,6339 By Common Division

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

Greatest Common Factor of 3772,6339 By Matching Biggest Common Factor Method

Now, list down the factors of 3772

1,2,4,23,41,46,82,92,164,943,1886,3772

Now, list down the factors of 6339

1,3,2113,6339

Greatest Common Factor

We found the factors 3772,6339 . The biggest common factor number is the GCF number.
So the greatest common factor 3772,6339 is 1.

Lets's calculate LCM of 151,4683

Lowest Common Multiple of 151,4683 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 707133

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/707133

Therefore, the GCF of Fractions 3772/151,6339/4683 is 1/707133

Least Common Multiple of 151,4683 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 151,4683 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(151,4683) = 1

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

GCF(151,4683) x common factors =1 x 1 = 1

LCM(151,4683) = ( 151 × 4683 ) / 1

LCM(151,4683) = 707133 / 1

LCM(151,4683) = 707133

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FAQs on GCF of Fractions of 3772/151, 6339/4683

1. What is the HCF of 3772,6339?

The HCF of 3772,6339 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 3772/151, 6339/4683?

Answer: GCF of Numerators as per given numbers 3772/151, 6339/4683 is

GCF of Numerators i.e. for 3772,6339 is 1

LCM of denominators i.e. for 151,4683 is 707133.

Thus, GCF of Fractions is 1/707133.Finally, GCF of Fractions for 3772/151, 6339/4683 is 1/707133.