How to Find GCF of 128/220, 3108/488?

GCF of 128/220, 3108/488

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 128/220, 3108/488 i.e 4/26840 easily. The following is the detailed procedure to determine the greatest common factor of fractions 128/220, 3108/488.

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 128/220,3108/488?

Given fractions are 128/220,3108/488

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 128/220,3108/488, numerators are 128,3108

Denominators are 220,488

The GCF of 128,3108 is 4 .

LCM of 220,488 is 26840.

The greatest common factor of 128/220,3108/488 = [GCF of 128,3108]/[LCM of 220,488]= 4/26840

Therefore, the GCF of 128/220,3108/488 is 4/26840.

Greatest Common Factor of 128,3108

To find the highest common factor of 128,3108, we have to find the factors of both numbers and list the highest common factor.

The factors of 128 are 1, 2, 4, 8, 16, 32, 64, 128

The factors of 3108 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 37, 42, 74, 84, 111, 148, 222, 259, 444, 518, 777, 1036, 1554, 3108

The HCF of 128,3108 is 4.

Lets's calculate GCF of 128,3108

Greatest Common Factor (GCF) of 128,3108 By Common Division

2	128, 3108
2	64, 1554
	32, 777

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 128,3108 By Matching Biggest Common Factor Method

Now, list down the factors of 128

1,2,4,8,16,32,64,128

Now, list down the factors of 3108

1,2,3,4,6,7,12,14,21,28,37,42,74,84,111,148,222,259,444,518,777,1036,1554,3108

Greatest Common Factor

We found the factors 128,3108 . The biggest common factor number is the GCF number.
So the greatest common factor 128,3108 is 4.

Lets's calculate LCM of 220,488

Lowest Common Multiple of 220,488 using Common Division

2	220, 488
2	110, 244
	55, 122

∴ So the LCM of the given numbers is 2 x 2 x 55 x 122 = 26840

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/26840

Therefore, the GCF of Fractions 128/220,3108/488 is 4/26840

Least Common Multiple of 220,488 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 220,488 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(220,488) = 4

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

GCF(220,488) x common factors =4 x 1 = 4

LCM(220,488) = ( 220 × 488 ) / 4

LCM(220,488) = 107360 / 4

LCM(220,488) = 26840

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FAQs on GCF of Fractions of 128/220, 3108/488

1. What is the HCF of 128,3108?

The HCF of 128,3108 is 4

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 128/220, 3108/488?

Answer: GCF of Numerators as per given numbers 128/220, 3108/488 is

GCF of Numerators i.e. for 128,3108 is 4

LCM of denominators i.e. for 220,488 is 26840.

Thus, GCF of Fractions is 4/26840.Finally, GCF of Fractions for 128/220, 3108/488 is 4/26840.