How to Find GCF of 328/44, 900/751?

GCF of 328/44, 900/751

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 328/44, 900/751 i.e 4/33044 easily. The following is the detailed procedure to determine the greatest common factor of fractions 328/44, 900/751.

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 328/44,900/751?

Given fractions are 328/44,900/751

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 328/44,900/751, numerators are 328,900

Denominators are 44,751

The GCF of 328,900 is 4 .

LCM of 44,751 is 33044.

The greatest common factor of 328/44,900/751 = [GCF of 328,900]/[LCM of 44,751]= 4/33044

Therefore, the GCF of 328/44,900/751 is 4/33044.

Greatest Common Factor of 328,900

To find the highest common factor of 328,900, we have to find the factors of both numbers and list the highest common factor.

The factors of 328 are 1, 2, 4, 8, 41, 82, 164, 328

The factors of 900 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

The HCF of 328,900 is 4.

Lets's calculate GCF of 328,900

Greatest Common Factor (GCF) of 328,900 By Common Division

2	328, 900
2	164, 450
	82, 225

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

Greatest Common Factor of 328,900 By Matching Biggest Common Factor Method

Now, list down the factors of 328

1,2,4,8,41,82,164,328

Now, list down the factors of 900

1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900

Greatest Common Factor

We found the factors 328,900 . The biggest common factor number is the GCF number.
So the greatest common factor 328,900 is 4.

Lets's calculate LCM of 44,751

Lowest Common Multiple of 44,751 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 33044

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/33044

Therefore, the GCF of Fractions 328/44,900/751 is 4/33044

Least Common Multiple of 44,751 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 44,751 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,751) = 1

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

GCF(44,751) x common factors =1 x 1 = 1

LCM(44,751) = ( 44 × 751 ) / 1

LCM(44,751) = 33044 / 1

LCM(44,751) = 33044

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FAQs on GCF of Fractions of 328/44, 900/751

1. What is the HCF of 328,900?

The HCF of 328,900 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 328/44, 900/751?

Answer: GCF of Numerators as per given numbers 328/44, 900/751 is

GCF of Numerators i.e. for 328,900 is 4

LCM of denominators i.e. for 44,751 is 33044.

Thus, GCF of Fractions is 4/33044.Finally, GCF of Fractions for 328/44, 900/751 is 4/33044.