How to Find GCF of 5664/763, 4894/1165?

GCF of 5664/763, 4894/1165

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 5664/763, 4894/1165 i.e 2/888895 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5664/763, 4894/1165.

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 5664/763,4894/1165?

Given fractions are 5664/763,4894/1165

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 5664/763,4894/1165, numerators are 5664,4894

Denominators are 763,1165

The GCF of 5664,4894 is 2 .

LCM of 763,1165 is 888895.

The greatest common factor of 5664/763,4894/1165 = [GCF of 5664,4894]/[LCM of 763,1165]= 2/888895

Therefore, the GCF of 5664/763,4894/1165 is 2/888895.

Greatest Common Factor of 5664,4894

To find the highest common factor of 5664,4894, we have to find the factors of both numbers and list the highest common factor.

The factors of 5664 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 59, 96, 118, 177, 236, 354, 472, 708, 944, 1416, 1888, 2832, 5664

The factors of 4894 are 1, 2, 2447, 4894

The HCF of 5664,4894 is 2.

Lets's calculate GCF of 5664,4894

Greatest Common Factor (GCF) of 5664,4894 By Common Division

2	5664, 4894
	2832, 2447

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

Greatest Common Factor of 5664,4894 By Matching Biggest Common Factor Method

Now, list down the factors of 5664

1,2,3,4,6,8,12,16,24,32,48,59,96,118,177,236,354,472,708,944,1416,1888,2832,5664

Now, list down the factors of 4894

1,2,2447,4894

Greatest Common Factor

We found the factors 5664,4894 . The biggest common factor number is the GCF number.
So the greatest common factor 5664,4894 is 2.

Lets's calculate LCM of 763,1165

Lowest Common Multiple of 763,1165 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 888895

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/888895

Therefore, the GCF of Fractions 5664/763,4894/1165 is 2/888895

Least Common Multiple of 763,1165 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 763,1165 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(763,1165) = 1

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

GCF(763,1165) x common factors =1 x 1 = 1

LCM(763,1165) = ( 763 × 1165 ) / 1

LCM(763,1165) = 888895 / 1

LCM(763,1165) = 888895

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 5664/763, 4894/1165

1. What is the HCF of 5664,4894?

The HCF of 5664,4894 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 5664/763, 4894/1165?

Answer: GCF of Numerators as per given numbers 5664/763, 4894/1165 is

GCF of Numerators i.e. for 5664,4894 is 2

LCM of denominators i.e. for 763,1165 is 888895.

Thus, GCF of Fractions is 2/888895.Finally, GCF of Fractions for 5664/763, 4894/1165 is 2/888895.