How to Find GCF of 328/55, 776/2033?

GCF of 328/55, 776/2033

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 328/55, 776/2033 i.e 8/111815 easily. The following is the detailed procedure to determine the greatest common factor of fractions 328/55, 776/2033.

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 328/55,776/2033?

Given fractions are 328/55,776/2033

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 328/55,776/2033, numerators are 328,776

Denominators are 55,2033

The GCF of 328,776 is 8 .

LCM of 55,2033 is 111815.

The greatest common factor of 328/55,776/2033 = [GCF of 328,776]/[LCM of 55,2033]= 8/111815

Therefore, the GCF of 328/55,776/2033 is 8/111815.

Greatest Common Factor of 328,776

To find the highest common factor of 328,776, 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 776 are 1, 2, 4, 8, 97, 194, 388, 776

The HCF of 328,776 is 8.

Lets's calculate GCF of 328,776

Greatest Common Factor (GCF) of 328,776 By Common Division

2	328, 776
2	164, 388
2	82, 194
	41, 97

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

Greatest Common Factor of 328,776 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 776

1,2,4,8,97,194,388,776

Greatest Common Factor

We found the factors 328,776 . The biggest common factor number is the GCF number.
So the greatest common factor 328,776 is 8.

Lets's calculate LCM of 55,2033

Lowest Common Multiple of 55,2033 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 111815

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/111815

Therefore, the GCF of Fractions 328/55,776/2033 is 8/111815

Least Common Multiple of 55,2033 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 55,2033 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,2033) = 1

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

GCF(55,2033) x common factors =1 x 1 = 1

LCM(55,2033) = ( 55 × 2033 ) / 1

LCM(55,2033) = 111815 / 1

LCM(55,2033) = 111815

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FAQs on GCF of Fractions of 328/55, 776/2033

1. What is the HCF of 328,776?

The HCF of 328,776 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 328/55, 776/2033?

Answer: GCF of Numerators as per given numbers 328/55, 776/2033 is

GCF of Numerators i.e. for 328,776 is 8

LCM of denominators i.e. for 55,2033 is 111815.

Thus, GCF of Fractions is 8/111815.Finally, GCF of Fractions for 328/55, 776/2033 is 8/111815.