How to Find GCF of 2840/458, 1508/9379?

GCF of 2840/458, 1508/9379

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 2840/458, 1508/9379 i.e 4/4295582 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2840/458, 1508/9379.

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 2840/458,1508/9379?

Given fractions are 2840/458,1508/9379

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 2840/458,1508/9379, numerators are 2840,1508

Denominators are 458,9379

The GCF of 2840,1508 is 4 .

LCM of 458,9379 is 4295582.

The greatest common factor of 2840/458,1508/9379 = [GCF of 2840,1508]/[LCM of 458,9379]= 4/4295582

Therefore, the GCF of 2840/458,1508/9379 is 4/4295582.

Greatest Common Factor of 2840,1508

To find the highest common factor of 2840,1508, we have to find the factors of both numbers and list the highest common factor.

The factors of 2840 are 1, 2, 4, 5, 8, 10, 20, 40, 71, 142, 284, 355, 568, 710, 1420, 2840

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

The HCF of 2840,1508 is 4.

Lets's calculate GCF of 2840,1508

Greatest Common Factor (GCF) of 2840,1508 By Common Division

2	2840, 1508
2	1420, 754
	710, 377

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 2840,1508 By Matching Biggest Common Factor Method

Now, list down the factors of 2840

1,2,4,5,8,10,20,40,71,142,284,355,568,710,1420,2840

Now, list down the factors of 1508

1,2,4,13,26,29,52,58,116,377,754,1508

Greatest Common Factor

We found the factors 2840,1508 . The biggest common factor number is the GCF number.
So the greatest common factor 2840,1508 is 4.

Lets's calculate LCM of 458,9379

Lowest Common Multiple of 458,9379 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4295582

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/4295582

Therefore, the GCF of Fractions 2840/458,1508/9379 is 4/4295582

Least Common Multiple of 458,9379 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 458,9379 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(458,9379) = 1

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

GCF(458,9379) x common factors =1 x 1 = 1

LCM(458,9379) = ( 458 × 9379 ) / 1

LCM(458,9379) = 4295582 / 1

LCM(458,9379) = 4295582

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 2840/458, 1508/9379

1. What is the HCF of 2840,1508?

The HCF of 2840,1508 is 4

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 2840/458, 1508/9379?

Answer: GCF of Numerators as per given numbers 2840/458, 1508/9379 is

GCF of Numerators i.e. for 2840,1508 is 4

LCM of denominators i.e. for 458,9379 is 4295582.

Thus, GCF of Fractions is 4/4295582.Finally, GCF of Fractions for 2840/458, 1508/9379 is 4/4295582.