How to Find GCF of 3833/128, 4587/7734?

GCF of 3833/128, 4587/7734

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 3833/128, 4587/7734 i.e 1/494976 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3833/128, 4587/7734.

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 3833/128,4587/7734?

Given fractions are 3833/128,4587/7734

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 3833/128,4587/7734, numerators are 3833,4587

Denominators are 128,7734

The GCF of 3833,4587 is 1 .

LCM of 128,7734 is 494976.

The greatest common factor of 3833/128,4587/7734 = [GCF of 3833,4587]/[LCM of 128,7734]= 1/494976

Therefore, the GCF of 3833/128,4587/7734 is 1/494976.

Greatest Common Factor of 3833,4587

To find the highest common factor of 3833,4587, we have to find the factors of both numbers and list the highest common factor.

The factors of 3833 are 1, 3833

The factors of 4587 are 1, 3, 11, 33, 139, 417, 1529, 4587

The HCF of 3833,4587 is 1.

Lets's calculate GCF of 3833,4587

Greatest Common Factor (GCF) of 3833,4587 By Common Division

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

Greatest Common Factor of 3833,4587 By Matching Biggest Common Factor Method

Now, list down the factors of 3833

1,3833

Now, list down the factors of 4587

1,3,11,33,139,417,1529,4587

Greatest Common Factor

We found the factors 3833,4587 . The biggest common factor number is the GCF number.
So the greatest common factor 3833,4587 is 1.

Lets's calculate LCM of 128,7734

Lowest Common Multiple of 128,7734 using Common Division

2	128, 7734
	64, 3867

∴ So the LCM of the given numbers is 2 x 64 x 3867 = 494976

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/494976

Therefore, the GCF of Fractions 3833/128,4587/7734 is 1/494976

Least Common Multiple of 128,7734 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 128,7734 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(128,7734) = 2

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

GCF(128,7734) x common factors =2 x 1 = 2

LCM(128,7734) = ( 128 × 7734 ) / 2

LCM(128,7734) = 989952 / 2

LCM(128,7734) = 494976

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FAQs on GCF of Fractions of 3833/128, 4587/7734

1. What is the HCF of 3833,4587?

The HCF of 3833,4587 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 3833/128, 4587/7734?

Answer: GCF of Numerators as per given numbers 3833/128, 4587/7734 is

GCF of Numerators i.e. for 3833,4587 is 1

LCM of denominators i.e. for 128,7734 is 494976.

Thus, GCF of Fractions is 1/494976.Finally, GCF of Fractions for 3833/128, 4587/7734 is 1/494976.