How to Find GCF of 4930/273, 8958/8104?

GCF of 4930/273, 8958/8104

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 4930/273, 8958/8104 i.e 2/2212392 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4930/273, 8958/8104.

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 4930/273,8958/8104?

Given fractions are 4930/273,8958/8104

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 4930/273,8958/8104, numerators are 4930,8958

Denominators are 273,8104

The GCF of 4930,8958 is 2 .

LCM of 273,8104 is 2212392.

The greatest common factor of 4930/273,8958/8104 = [GCF of 4930,8958]/[LCM of 273,8104]= 2/2212392

Therefore, the GCF of 4930/273,8958/8104 is 2/2212392.

Greatest Common Factor of 4930,8958

To find the highest common factor of 4930,8958, we have to find the factors of both numbers and list the highest common factor.

The factors of 4930 are 1, 2, 5, 10, 17, 29, 34, 58, 85, 145, 170, 290, 493, 986, 2465, 4930

The factors of 8958 are 1, 2, 3, 6, 1493, 2986, 4479, 8958

The HCF of 4930,8958 is 2.

Lets's calculate GCF of 4930,8958

Greatest Common Factor (GCF) of 4930,8958 By Common Division

2	4930, 8958
	2465, 4479

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 4930,8958 By Matching Biggest Common Factor Method

Now, list down the factors of 4930

1,2,5,10,17,29,34,58,85,145,170,290,493,986,2465,4930

Now, list down the factors of 8958

1,2,3,6,1493,2986,4479,8958

Greatest Common Factor

We found the factors 4930,8958 . The biggest common factor number is the GCF number.
So the greatest common factor 4930,8958 is 2.

Lets's calculate LCM of 273,8104

Lowest Common Multiple of 273,8104 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2212392

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2212392

Therefore, the GCF of Fractions 4930/273,8958/8104 is 2/2212392

Least Common Multiple of 273,8104 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 273,8104 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(273,8104) = 1

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

GCF(273,8104) x common factors =1 x 1 = 1

LCM(273,8104) = ( 273 × 8104 ) / 1

LCM(273,8104) = 2212392 / 1

LCM(273,8104) = 2212392

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 4930/273, 8958/8104

1. What is the HCF of 4930,8958?

The HCF of 4930,8958 is 2

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 4930/273, 8958/8104?

Answer: GCF of Numerators as per given numbers 4930/273, 8958/8104 is

GCF of Numerators i.e. for 4930,8958 is 2

LCM of denominators i.e. for 273,8104 is 2212392.

Thus, GCF of Fractions is 2/2212392.Finally, GCF of Fractions for 4930/273, 8958/8104 is 2/2212392.