How to Find GCF of 4974/482, 5209/1077?

GCF of 4974/482, 5209/1077

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 4974/482, 5209/1077 i.e 1/519114 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4974/482, 5209/1077.

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 4974/482,5209/1077?

Given fractions are 4974/482,5209/1077

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 4974/482,5209/1077, numerators are 4974,5209

Denominators are 482,1077

The GCF of 4974,5209 is 1 .

LCM of 482,1077 is 519114.

The greatest common factor of 4974/482,5209/1077 = [GCF of 4974,5209]/[LCM of 482,1077]= 1/519114

Therefore, the GCF of 4974/482,5209/1077 is 1/519114.

Greatest Common Factor of 4974,5209

To find the highest common factor of 4974,5209, we have to find the factors of both numbers and list the highest common factor.

The factors of 4974 are 1, 2, 3, 6, 829, 1658, 2487, 4974

The factors of 5209 are 1, 5209

The HCF of 4974,5209 is 1.

Lets's calculate GCF of 4974,5209

Greatest Common Factor (GCF) of 4974,5209 By Common Division

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

Greatest Common Factor of 4974,5209 By Matching Biggest Common Factor Method

Now, list down the factors of 4974

1,2,3,6,829,1658,2487,4974

Now, list down the factors of 5209

1,5209

Greatest Common Factor

We found the factors 4974,5209 . The biggest common factor number is the GCF number.
So the greatest common factor 4974,5209 is 1.

Lets's calculate LCM of 482,1077

Lowest Common Multiple of 482,1077 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 519114

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/519114

Therefore, the GCF of Fractions 4974/482,5209/1077 is 1/519114

Least Common Multiple of 482,1077 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 482,1077 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(482,1077) = 1

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

GCF(482,1077) x common factors =1 x 1 = 1

LCM(482,1077) = ( 482 × 1077 ) / 1

LCM(482,1077) = 519114 / 1

LCM(482,1077) = 519114

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FAQs on GCF of Fractions of 4974/482, 5209/1077

1. What is the HCF of 4974,5209?

The HCF of 4974,5209 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 4974/482, 5209/1077?

Answer: GCF of Numerators as per given numbers 4974/482, 5209/1077 is

GCF of Numerators i.e. for 4974,5209 is 1

LCM of denominators i.e. for 482,1077 is 519114.

Thus, GCF of Fractions is 1/519114.Finally, GCF of Fractions for 4974/482, 5209/1077 is 1/519114.