How to Find GCF of 4368/796, 2873/9773?

GCF of 4368/796, 2873/9773

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 4368/796, 2873/9773 i.e 13/7779308 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4368/796, 2873/9773.

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 4368/796,2873/9773?

Given fractions are 4368/796,2873/9773

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 4368/796,2873/9773, numerators are 4368,2873

Denominators are 796,9773

The GCF of 4368,2873 is 13 .

LCM of 796,9773 is 7779308.

The greatest common factor of 4368/796,2873/9773 = [GCF of 4368,2873]/[LCM of 796,9773]= 13/7779308

Therefore, the GCF of 4368/796,2873/9773 is 13/7779308.

Greatest Common Factor of 4368,2873

To find the highest common factor of 4368,2873, we have to find the factors of both numbers and list the highest common factor.

The factors of 4368 are 1, 2, 3, 4, 6, 7, 8, 12, 13, 14, 16, 21, 24, 26, 28, 39, 42, 48, 52, 56, 78, 84, 91, 104, 112, 156, 168, 182, 208, 273, 312, 336, 364, 546, 624, 728, 1092, 1456, 2184, 4368

The factors of 2873 are 1, 13, 17, 169, 221, 2873

The HCF of 4368,2873 is 13.

Lets's calculate GCF of 4368,2873

Greatest Common Factor (GCF) of 4368,2873 By Common Division

13	4368, 2873
	336, 221

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 4368,2873 By Matching Biggest Common Factor Method

Now, list down the factors of 4368

1,2,3,4,6,7,8,12,13,14,16,21,24,26,28,39,42,48,52,56,78,84,91,104,112,156,168,182,208,273,312,336,364,546,624,728,1092,1456,2184,4368

Now, list down the factors of 2873

1,13,17,169,221,2873

Greatest Common Factor

We found the factors 4368,2873 . The biggest common factor number is the GCF number.
So the greatest common factor 4368,2873 is 13.

Lets's calculate LCM of 796,9773

Lowest Common Multiple of 796,9773 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7779308

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/7779308

Therefore, the GCF of Fractions 4368/796,2873/9773 is 13/7779308

Least Common Multiple of 796,9773 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 796,9773 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(796,9773) = 1

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

GCF(796,9773) x common factors =1 x 1 = 1

LCM(796,9773) = ( 796 × 9773 ) / 1

LCM(796,9773) = 7779308 / 1

LCM(796,9773) = 7779308

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FAQs on GCF of Fractions of 4368/796, 2873/9773

1. What is the HCF of 4368,2873?

The HCF of 4368,2873 is 13

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 4368/796, 2873/9773?

Answer: GCF of Numerators as per given numbers 4368/796, 2873/9773 is

GCF of Numerators i.e. for 4368,2873 is 13

LCM of denominators i.e. for 796,9773 is 7779308.

Thus, GCF of Fractions is 13/7779308.Finally, GCF of Fractions for 4368/796, 2873/9773 is 13/7779308.