How to Find GCF of 232/365, 3390/7977?

GCF of 232/365, 3390/7977

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 232/365, 3390/7977 i.e 2/2911605 easily. The following is the detailed procedure to determine the greatest common factor of fractions 232/365, 3390/7977.

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 232/365,3390/7977?

Given fractions are 232/365,3390/7977

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 232/365,3390/7977, numerators are 232,3390

Denominators are 365,7977

The GCF of 232,3390 is 2 .

LCM of 365,7977 is 2911605.

The greatest common factor of 232/365,3390/7977 = [GCF of 232,3390]/[LCM of 365,7977]= 2/2911605

Therefore, the GCF of 232/365,3390/7977 is 2/2911605.

Greatest Common Factor of 232,3390

To find the highest common factor of 232,3390, we have to find the factors of both numbers and list the highest common factor.

The factors of 232 are 1, 2, 4, 8, 29, 58, 116, 232

The factors of 3390 are 1, 2, 3, 5, 6, 10, 15, 30, 113, 226, 339, 565, 678, 1130, 1695, 3390

The HCF of 232,3390 is 2.

Lets's calculate GCF of 232,3390

Greatest Common Factor (GCF) of 232,3390 By Common Division

2	232, 3390
	116, 1695

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

Greatest Common Factor of 232,3390 By Matching Biggest Common Factor Method

Now, list down the factors of 232

1,2,4,8,29,58,116,232

Now, list down the factors of 3390

1,2,3,5,6,10,15,30,113,226,339,565,678,1130,1695,3390

Greatest Common Factor

We found the factors 232,3390 . The biggest common factor number is the GCF number.
So the greatest common factor 232,3390 is 2.

Lets's calculate LCM of 365,7977

Lowest Common Multiple of 365,7977 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2911605

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2911605

Therefore, the GCF of Fractions 232/365,3390/7977 is 2/2911605

Least Common Multiple of 365,7977 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 365,7977 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(365,7977) = 1

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

GCF(365,7977) x common factors =1 x 1 = 1

LCM(365,7977) = ( 365 × 7977 ) / 1

LCM(365,7977) = 2911605 / 1

LCM(365,7977) = 2911605

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FAQs on GCF of Fractions of 232/365, 3390/7977

1. What is the HCF of 232,3390?

The HCF of 232,3390 is 2

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 232/365, 3390/7977?

Answer: GCF of Numerators as per given numbers 232/365, 3390/7977 is

GCF of Numerators i.e. for 232,3390 is 2

LCM of denominators i.e. for 365,7977 is 2911605.

Thus, GCF of Fractions is 2/2911605.Finally, GCF of Fractions for 232/365, 3390/7977 is 2/2911605.