How to Find GCF of 2818/828, 5683/2968?

GCF of 2818/828, 5683/2968

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 2818/828, 5683/2968 i.e 1/614376 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2818/828, 5683/2968.

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 2818/828,5683/2968?

Given fractions are 2818/828,5683/2968

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 2818/828,5683/2968, numerators are 2818,5683

Denominators are 828,2968

The GCF of 2818,5683 is 1 .

LCM of 828,2968 is 614376.

The greatest common factor of 2818/828,5683/2968 = [GCF of 2818,5683]/[LCM of 828,2968]= 1/614376

Therefore, the GCF of 2818/828,5683/2968 is 1/614376.

Greatest Common Factor of 2818,5683

To find the highest common factor of 2818,5683, we have to find the factors of both numbers and list the highest common factor.

The factors of 2818 are 1, 2, 1409, 2818

The factors of 5683 are 1, 5683

The HCF of 2818,5683 is 1.

Lets's calculate GCF of 2818,5683

Greatest Common Factor (GCF) of 2818,5683 By Common Division

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

Greatest Common Factor of 2818,5683 By Matching Biggest Common Factor Method

Now, list down the factors of 2818

1,2,1409,2818

Now, list down the factors of 5683

1,5683

Greatest Common Factor

We found the factors 2818,5683 . The biggest common factor number is the GCF number.
So the greatest common factor 2818,5683 is 1.

Lets's calculate LCM of 828,2968

Lowest Common Multiple of 828,2968 using Common Division

2	828, 2968
2	414, 1484
	207, 742

∴ So the LCM of the given numbers is 2 x 2 x 207 x 742 = 614376

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/614376

Therefore, the GCF of Fractions 2818/828,5683/2968 is 1/614376

Least Common Multiple of 828,2968 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 828,2968 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(828,2968) = 4

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

GCF(828,2968) x common factors =4 x 1 = 4

LCM(828,2968) = ( 828 × 2968 ) / 4

LCM(828,2968) = 2457504 / 4

LCM(828,2968) = 614376

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 2818/828, 5683/2968

1. What is the HCF of 2818,5683?

The HCF of 2818,5683 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 2818/828, 5683/2968?

Answer: GCF of Numerators as per given numbers 2818/828, 5683/2968 is

GCF of Numerators i.e. for 2818,5683 is 1

LCM of denominators i.e. for 828,2968 is 614376.

Thus, GCF of Fractions is 1/614376.Finally, GCF of Fractions for 2818/828, 5683/2968 is 1/614376.