How to Find GCF of 9128/330, 4504/149?

GCF of 9128/330, 4504/149

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 9128/330, 4504/149 i.e 8/49170 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9128/330, 4504/149.

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 9128/330,4504/149?

Given fractions are 9128/330,4504/149

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 9128/330,4504/149, numerators are 9128,4504

Denominators are 330,149

The GCF of 9128,4504 is 8 .

LCM of 330,149 is 49170.

The greatest common factor of 9128/330,4504/149 = [GCF of 9128,4504]/[LCM of 330,149]= 8/49170

Therefore, the GCF of 9128/330,4504/149 is 8/49170.

Greatest Common Factor of 9128,4504

To find the highest common factor of 9128,4504, we have to find the factors of both numbers and list the highest common factor.

The factors of 9128 are 1, 2, 4, 7, 8, 14, 28, 56, 163, 326, 652, 1141, 1304, 2282, 4564, 9128

The factors of 4504 are 1, 2, 4, 8, 563, 1126, 2252, 4504

The HCF of 9128,4504 is 8.

Lets's calculate GCF of 9128,4504

Greatest Common Factor (GCF) of 9128,4504 By Common Division

2	9128, 4504
2	4564, 2252
2	2282, 1126
	1141, 563

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

Greatest Common Factor of 9128,4504 By Matching Biggest Common Factor Method

Now, list down the factors of 9128

1,2,4,7,8,14,28,56,163,326,652,1141,1304,2282,4564,9128

Now, list down the factors of 4504

1,2,4,8,563,1126,2252,4504

Greatest Common Factor

We found the factors 9128,4504 . The biggest common factor number is the GCF number.
So the greatest common factor 9128,4504 is 8.

Lets's calculate LCM of 330,149

Lowest Common Multiple of 330,149 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 49170

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/49170

Therefore, the GCF of Fractions 9128/330,4504/149 is 8/49170

Least Common Multiple of 330,149 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 330,149 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(330,149) = 1

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

GCF(330,149) x common factors =1 x 1 = 1

LCM(330,149) = ( 330 × 149 ) / 1

LCM(330,149) = 49170 / 1

LCM(330,149) = 49170

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FAQs on GCF of Fractions of 9128/330, 4504/149

1. What is the HCF of 9128,4504?

The HCF of 9128,4504 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 9128/330, 4504/149?

Answer: GCF of Numerators as per given numbers 9128/330, 4504/149 is

GCF of Numerators i.e. for 9128,4504 is 8

LCM of denominators i.e. for 330,149 is 49170.

Thus, GCF of Fractions is 8/49170.Finally, GCF of Fractions for 9128/330, 4504/149 is 8/49170.