How to Find GCF of 5282/478, 5096/6699?

GCF of 5282/478, 5096/6699

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 5282/478, 5096/6699 i.e 2/3202122 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5282/478, 5096/6699.

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 5282/478,5096/6699?

Given fractions are 5282/478,5096/6699

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 5282/478,5096/6699, numerators are 5282,5096

Denominators are 478,6699

The GCF of 5282,5096 is 2 .

LCM of 478,6699 is 3202122.

The greatest common factor of 5282/478,5096/6699 = [GCF of 5282,5096]/[LCM of 478,6699]= 2/3202122

Therefore, the GCF of 5282/478,5096/6699 is 2/3202122.

Greatest Common Factor of 5282,5096

To find the highest common factor of 5282,5096, we have to find the factors of both numbers and list the highest common factor.

The factors of 5282 are 1, 2, 19, 38, 139, 278, 2641, 5282

The factors of 5096 are 1, 2, 4, 7, 8, 13, 14, 26, 28, 49, 52, 56, 91, 98, 104, 182, 196, 364, 392, 637, 728, 1274, 2548, 5096

The HCF of 5282,5096 is 2.

Lets's calculate GCF of 5282,5096

Greatest Common Factor (GCF) of 5282,5096 By Common Division

2	5282, 5096
	2641, 2548

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

Greatest Common Factor of 5282,5096 By Matching Biggest Common Factor Method

Now, list down the factors of 5282

1,2,19,38,139,278,2641,5282

Now, list down the factors of 5096

1,2,4,7,8,13,14,26,28,49,52,56,91,98,104,182,196,364,392,637,728,1274,2548,5096

Greatest Common Factor

We found the factors 5282,5096 . The biggest common factor number is the GCF number.
So the greatest common factor 5282,5096 is 2.

Lets's calculate LCM of 478,6699

Lowest Common Multiple of 478,6699 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3202122

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3202122

Therefore, the GCF of Fractions 5282/478,5096/6699 is 2/3202122

Least Common Multiple of 478,6699 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 478,6699 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(478,6699) = 1

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

GCF(478,6699) x common factors =1 x 1 = 1

LCM(478,6699) = ( 478 × 6699 ) / 1

LCM(478,6699) = 3202122 / 1

LCM(478,6699) = 3202122

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 5282/478, 5096/6699

1. What is the HCF of 5282,5096?

The HCF of 5282,5096 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 5282/478, 5096/6699?

Answer: GCF of Numerators as per given numbers 5282/478, 5096/6699 is

GCF of Numerators i.e. for 5282,5096 is 2

LCM of denominators i.e. for 478,6699 is 3202122.

Thus, GCF of Fractions is 2/3202122.Finally, GCF of Fractions for 5282/478, 5096/6699 is 2/3202122.