How to Find GCF of 613/983, 4548/594?

GCF of 613/983, 4548/594

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 613/983, 4548/594 i.e 1/583902 easily. The following is the detailed procedure to determine the greatest common factor of fractions 613/983, 4548/594.

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 613/983,4548/594?

Given fractions are 613/983,4548/594

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 613/983,4548/594, numerators are 613,4548

Denominators are 983,594

The GCF of 613,4548 is 1 .

LCM of 983,594 is 583902.

The greatest common factor of 613/983,4548/594 = [GCF of 613,4548]/[LCM of 983,594]= 1/583902

Therefore, the GCF of 613/983,4548/594 is 1/583902.

Greatest Common Factor of 613,4548

To find the highest common factor of 613,4548, we have to find the factors of both numbers and list the highest common factor.

The factors of 613 are 1, 613

The factors of 4548 are 1, 2, 3, 4, 6, 12, 379, 758, 1137, 1516, 2274, 4548

The HCF of 613,4548 is 1.

Lets's calculate GCF of 613,4548

Greatest Common Factor (GCF) of 613,4548 By Common Division

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

Greatest Common Factor of 613,4548 By Matching Biggest Common Factor Method

Now, list down the factors of 613

1,613

Now, list down the factors of 4548

1,2,3,4,6,12,379,758,1137,1516,2274,4548

Greatest Common Factor

We found the factors 613,4548 . The biggest common factor number is the GCF number.
So the greatest common factor 613,4548 is 1.

Lets's calculate LCM of 983,594

Lowest Common Multiple of 983,594 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 583902

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/583902

Therefore, the GCF of Fractions 613/983,4548/594 is 1/583902

Least Common Multiple of 983,594 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 983,594 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(983,594) = 1

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

GCF(983,594) x common factors =1 x 1 = 1

LCM(983,594) = ( 983 × 594 ) / 1

LCM(983,594) = 583902 / 1

LCM(983,594) = 583902

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FAQs on GCF of Fractions of 613/983, 4548/594

1. What is the HCF of 613,4548?

The HCF of 613,4548 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 613/983, 4548/594?

Answer: GCF of Numerators as per given numbers 613/983, 4548/594 is

GCF of Numerators i.e. for 613,4548 is 1

LCM of denominators i.e. for 983,594 is 583902.

Thus, GCF of Fractions is 1/583902.Finally, GCF of Fractions for 613/983, 4548/594 is 1/583902.