How to Find GCF of 488/64, 288/1193?

GCF of 488/64, 288/1193

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 488/64, 288/1193 i.e 8/76352 easily. The following is the detailed procedure to determine the greatest common factor of fractions 488/64, 288/1193.

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 488/64,288/1193?

Given fractions are 488/64,288/1193

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 488/64,288/1193, numerators are 488,288

Denominators are 64,1193

The GCF of 488,288 is 8 .

LCM of 64,1193 is 76352.

The greatest common factor of 488/64,288/1193 = [GCF of 488,288]/[LCM of 64,1193]= 8/76352

Therefore, the GCF of 488/64,288/1193 is 8/76352.

Greatest Common Factor of 488,288

To find the highest common factor of 488,288, we have to find the factors of both numbers and list the highest common factor.

The factors of 488 are 1, 2, 4, 8, 61, 122, 244, 488

The factors of 288 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

The HCF of 488,288 is 8.

Lets's calculate GCF of 488,288

Greatest Common Factor (GCF) of 488,288 By Common Division

2	488, 288
2	244, 144
2	122, 72
	61, 36

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

Greatest Common Factor of 488,288 By Matching Biggest Common Factor Method

Now, list down the factors of 488

1,2,4,8,61,122,244,488

Now, list down the factors of 288

1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288

Greatest Common Factor

We found the factors 488,288 . The biggest common factor number is the GCF number.
So the greatest common factor 488,288 is 8.

Lets's calculate LCM of 64,1193

Lowest Common Multiple of 64,1193 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 76352

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/76352

Therefore, the GCF of Fractions 488/64,288/1193 is 8/76352

Least Common Multiple of 64,1193 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 64,1193 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,1193) = 1

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

GCF(64,1193) x common factors =1 x 1 = 1

LCM(64,1193) = ( 64 × 1193 ) / 1

LCM(64,1193) = 76352 / 1

LCM(64,1193) = 76352

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FAQs on GCF of Fractions of 488/64, 288/1193

1. What is the HCF of 488,288?

The HCF of 488,288 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 488/64, 288/1193?

Answer: GCF of Numerators as per given numbers 488/64, 288/1193 is

GCF of Numerators i.e. for 488,288 is 8

LCM of denominators i.e. for 64,1193 is 76352.

Thus, GCF of Fractions is 8/76352.Finally, GCF of Fractions for 488/64, 288/1193 is 8/76352.