How to Find GCF of 96/605, 5888/4701?

GCF of 96/605, 5888/4701

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 96/605, 5888/4701 i.e 32/2844105 easily. The following is the detailed procedure to determine the greatest common factor of fractions 96/605, 5888/4701.

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 96/605,5888/4701?

Given fractions are 96/605,5888/4701

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 96/605,5888/4701, numerators are 96,5888

Denominators are 605,4701

The GCF of 96,5888 is 32 .

LCM of 605,4701 is 2844105.

The greatest common factor of 96/605,5888/4701 = [GCF of 96,5888]/[LCM of 605,4701]= 32/2844105

Therefore, the GCF of 96/605,5888/4701 is 32/2844105.

Greatest Common Factor of 96,5888

To find the highest common factor of 96,5888, we have to find the factors of both numbers and list the highest common factor.

The factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

The factors of 5888 are 1, 2, 4, 8, 16, 23, 32, 46, 64, 92, 128, 184, 256, 368, 736, 1472, 2944, 5888

The HCF of 96,5888 is 32.

Lets's calculate GCF of 96,5888

Greatest Common Factor (GCF) of 96,5888 By Common Division

2	96, 5888
2	48, 2944
2	24, 1472
2	12, 736
2	6, 368
	3, 184

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 = 32

Greatest Common Factor of 96,5888 By Matching Biggest Common Factor Method

Now, list down the factors of 96

1,2,3,4,6,8,12,16,24,32,48,96

Now, list down the factors of 5888

1,2,4,8,16,23,32,46,64,92,128,184,256,368,736,1472,2944,5888

Greatest Common Factor

We found the factors 96,5888 . The biggest common factor number is the GCF number.
So the greatest common factor 96,5888 is 32.

Lets's calculate LCM of 605,4701

Lowest Common Multiple of 605,4701 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2844105

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 32/2844105

Therefore, the GCF of Fractions 96/605,5888/4701 is 32/2844105

Least Common Multiple of 605,4701 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 605,4701 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(605,4701) = 1

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

GCF(605,4701) x common factors =1 x 1 = 1

LCM(605,4701) = ( 605 × 4701 ) / 1

LCM(605,4701) = 2844105 / 1

LCM(605,4701) = 2844105

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 96/605, 5888/4701

1. What is the HCF of 96,5888?

The HCF of 96,5888 is 32

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 96/605, 5888/4701?

Answer: GCF of Numerators as per given numbers 96/605, 5888/4701 is

GCF of Numerators i.e. for 96,5888 is 32

LCM of denominators i.e. for 605,4701 is 2844105.

Thus, GCF of Fractions is 32/2844105.Finally, GCF of Fractions for 96/605, 5888/4701 is 32/2844105.