How to Find GCF of 4587/493, 3016/1929?

GCF of 4587/493, 3016/1929

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 4587/493, 3016/1929 i.e 1/950997 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4587/493, 3016/1929.

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 4587/493,3016/1929?

Given fractions are 4587/493,3016/1929

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 4587/493,3016/1929, numerators are 4587,3016

Denominators are 493,1929

The GCF of 4587,3016 is 1 .

LCM of 493,1929 is 950997.

The greatest common factor of 4587/493,3016/1929 = [GCF of 4587,3016]/[LCM of 493,1929]= 1/950997

Therefore, the GCF of 4587/493,3016/1929 is 1/950997.

Greatest Common Factor of 4587,3016

To find the highest common factor of 4587,3016, we have to find the factors of both numbers and list the highest common factor.

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

The factors of 3016 are 1, 2, 4, 8, 13, 26, 29, 52, 58, 104, 116, 232, 377, 754, 1508, 3016

The HCF of 4587,3016 is 1.

Lets's calculate GCF of 4587,3016

Greatest Common Factor (GCF) of 4587,3016 By Common Division

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

Greatest Common Factor of 4587,3016 By Matching Biggest Common Factor Method

Now, list down the factors of 4587

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

Now, list down the factors of 3016

1,2,4,8,13,26,29,52,58,104,116,232,377,754,1508,3016

Greatest Common Factor

We found the factors 4587,3016 . The biggest common factor number is the GCF number.
So the greatest common factor 4587,3016 is 1.

Lets's calculate LCM of 493,1929

Lowest Common Multiple of 493,1929 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 950997

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/950997

Therefore, the GCF of Fractions 4587/493,3016/1929 is 1/950997

Least Common Multiple of 493,1929 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 493,1929 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(493,1929) = 1

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

GCF(493,1929) x common factors =1 x 1 = 1

LCM(493,1929) = ( 493 × 1929 ) / 1

LCM(493,1929) = 950997 / 1

LCM(493,1929) = 950997

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FAQs on GCF of Fractions of 4587/493, 3016/1929

1. What is the HCF of 4587,3016?

The HCF of 4587,3016 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 4587/493, 3016/1929?

Answer: GCF of Numerators as per given numbers 4587/493, 3016/1929 is

GCF of Numerators i.e. for 4587,3016 is 1

LCM of denominators i.e. for 493,1929 is 950997.

Thus, GCF of Fractions is 1/950997.Finally, GCF of Fractions for 4587/493, 3016/1929 is 1/950997.