How to Find GCF of 4979/920, 1453/4596?

GCF of 4979/920, 1453/4596

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 4979/920, 1453/4596 i.e 1/1057080 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4979/920, 1453/4596.

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 4979/920,1453/4596?

Given fractions are 4979/920,1453/4596

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 4979/920,1453/4596, numerators are 4979,1453

Denominators are 920,4596

The GCF of 4979,1453 is 1 .

LCM of 920,4596 is 1057080.

The greatest common factor of 4979/920,1453/4596 = [GCF of 4979,1453]/[LCM of 920,4596]= 1/1057080

Therefore, the GCF of 4979/920,1453/4596 is 1/1057080.

Greatest Common Factor of 4979,1453

To find the highest common factor of 4979,1453, we have to find the factors of both numbers and list the highest common factor.

The factors of 4979 are 1, 13, 383, 4979

The factors of 1453 are 1, 1453

The HCF of 4979,1453 is 1.

Lets's calculate GCF of 4979,1453

Greatest Common Factor (GCF) of 4979,1453 By Common Division

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

Greatest Common Factor of 4979,1453 By Matching Biggest Common Factor Method

Now, list down the factors of 4979

1,13,383,4979

Now, list down the factors of 1453

1,1453

Greatest Common Factor

We found the factors 4979,1453 . The biggest common factor number is the GCF number.
So the greatest common factor 4979,1453 is 1.

Lets's calculate LCM of 920,4596

Lowest Common Multiple of 920,4596 using Common Division

2	920, 4596
2	460, 2298
	230, 1149

∴ So the LCM of the given numbers is 2 x 2 x 230 x 1149 = 1057080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1057080

Therefore, the GCF of Fractions 4979/920,1453/4596 is 1/1057080

Least Common Multiple of 920,4596 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 920,4596 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(920,4596) = 4

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

GCF(920,4596) x common factors =4 x 1 = 4

LCM(920,4596) = ( 920 × 4596 ) / 4

LCM(920,4596) = 4228320 / 4

LCM(920,4596) = 1057080

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 4979/920, 1453/4596

1. What is the HCF of 4979,1453?

The HCF of 4979,1453 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 4979/920, 1453/4596?

Answer: GCF of Numerators as per given numbers 4979/920, 1453/4596 is

GCF of Numerators i.e. for 4979,1453 is 1

LCM of denominators i.e. for 920,4596 is 1057080.

Thus, GCF of Fractions is 1/1057080.Finally, GCF of Fractions for 4979/920, 1453/4596 is 1/1057080.