How to Find GCF of 2848/570, 2124/919?

GCF of 2848/570, 2124/919

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 2848/570, 2124/919 i.e 4/523830 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2848/570, 2124/919.

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 2848/570,2124/919?

Given fractions are 2848/570,2124/919

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 2848/570,2124/919, numerators are 2848,2124

Denominators are 570,919

The GCF of 2848,2124 is 4 .

LCM of 570,919 is 523830.

The greatest common factor of 2848/570,2124/919 = [GCF of 2848,2124]/[LCM of 570,919]= 4/523830

Therefore, the GCF of 2848/570,2124/919 is 4/523830.

Greatest Common Factor of 2848,2124

To find the highest common factor of 2848,2124, we have to find the factors of both numbers and list the highest common factor.

The factors of 2848 are 1, 2, 4, 8, 16, 32, 89, 178, 356, 712, 1424, 2848

The factors of 2124 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 59, 118, 177, 236, 354, 531, 708, 1062, 2124

The HCF of 2848,2124 is 4.

Lets's calculate GCF of 2848,2124

Greatest Common Factor (GCF) of 2848,2124 By Common Division

2	2848, 2124
2	1424, 1062
	712, 531

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

Greatest Common Factor of 2848,2124 By Matching Biggest Common Factor Method

Now, list down the factors of 2848

1,2,4,8,16,32,89,178,356,712,1424,2848

Now, list down the factors of 2124

1,2,3,4,6,9,12,18,36,59,118,177,236,354,531,708,1062,2124

Greatest Common Factor

We found the factors 2848,2124 . The biggest common factor number is the GCF number.
So the greatest common factor 2848,2124 is 4.

Lets's calculate LCM of 570,919

Lowest Common Multiple of 570,919 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 523830

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/523830

Therefore, the GCF of Fractions 2848/570,2124/919 is 4/523830

Least Common Multiple of 570,919 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 570,919 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(570,919) = 1

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

GCF(570,919) x common factors =1 x 1 = 1

LCM(570,919) = ( 570 × 919 ) / 1

LCM(570,919) = 523830 / 1

LCM(570,919) = 523830

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 2848/570, 2124/919

1. What is the HCF of 2848,2124?

The HCF of 2848,2124 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 2848/570, 2124/919?

Answer: GCF of Numerators as per given numbers 2848/570, 2124/919 is

GCF of Numerators i.e. for 2848,2124 is 4

LCM of denominators i.e. for 570,919 is 523830.

Thus, GCF of Fractions is 4/523830.Finally, GCF of Fractions for 2848/570, 2124/919 is 4/523830.