How to Find GCF of 2856/299, 5128/777?

GCF of 2856/299, 5128/777

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 2856/299, 5128/777 i.e 8/232323 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2856/299, 5128/777.

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 2856/299,5128/777?

Given fractions are 2856/299,5128/777

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 2856/299,5128/777, numerators are 2856,5128

Denominators are 299,777

The GCF of 2856,5128 is 8 .

LCM of 299,777 is 232323.

The greatest common factor of 2856/299,5128/777 = [GCF of 2856,5128]/[LCM of 299,777]= 8/232323

Therefore, the GCF of 2856/299,5128/777 is 8/232323.

Greatest Common Factor of 2856,5128

To find the highest common factor of 2856,5128, we have to find the factors of both numbers and list the highest common factor.

The factors of 2856 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 17, 21, 24, 28, 34, 42, 51, 56, 68, 84, 102, 119, 136, 168, 204, 238, 357, 408, 476, 714, 952, 1428, 2856

The factors of 5128 are 1, 2, 4, 8, 641, 1282, 2564, 5128

The HCF of 2856,5128 is 8.

Lets's calculate GCF of 2856,5128

Greatest Common Factor (GCF) of 2856,5128 By Common Division

2	2856, 5128
2	1428, 2564
2	714, 1282
	357, 641

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 2856,5128 By Matching Biggest Common Factor Method

Now, list down the factors of 2856

1,2,3,4,6,7,8,12,14,17,21,24,28,34,42,51,56,68,84,102,119,136,168,204,238,357,408,476,714,952,1428,2856

Now, list down the factors of 5128

1,2,4,8,641,1282,2564,5128

Greatest Common Factor

We found the factors 2856,5128 . The biggest common factor number is the GCF number.
So the greatest common factor 2856,5128 is 8.

Lets's calculate LCM of 299,777

Lowest Common Multiple of 299,777 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 232323

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/232323

Therefore, the GCF of Fractions 2856/299,5128/777 is 8/232323

Least Common Multiple of 299,777 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 299,777 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(299,777) = 1

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

GCF(299,777) x common factors =1 x 1 = 1

LCM(299,777) = ( 299 × 777 ) / 1

LCM(299,777) = 232323 / 1

LCM(299,777) = 232323

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FAQs on GCF of Fractions of 2856/299, 5128/777

1. What is the HCF of 2856,5128?

The HCF of 2856,5128 is 8

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 2856/299, 5128/777?

Answer: GCF of Numerators as per given numbers 2856/299, 5128/777 is

GCF of Numerators i.e. for 2856,5128 is 8

LCM of denominators i.e. for 299,777 is 232323.

Thus, GCF of Fractions is 8/232323.Finally, GCF of Fractions for 2856/299, 5128/777 is 8/232323.