How to Find GCF of 308/3297, 652/8429?

GCF of 308/3297, 652/8429

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 308/3297, 652/8429 i.e 4/27790413 easily. The following is the detailed procedure to determine the greatest common factor of fractions 308/3297, 652/8429.

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 308/3297,652/8429?

Given fractions are 308/3297,652/8429

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 308/3297,652/8429, numerators are 308,652

Denominators are 3297,8429

The GCF of 308,652 is 4 .

LCM of 3297,8429 is 27790413.

The greatest common factor of 308/3297,652/8429 = [GCF of 308,652]/[LCM of 3297,8429]= 4/27790413

Therefore, the GCF of 308/3297,652/8429 is 4/27790413.

Greatest Common Factor of 308,652

To find the highest common factor of 308,652, we have to find the factors of both numbers and list the highest common factor.

The factors of 308 are 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

The factors of 652 are 1, 2, 4, 163, 326, 652

The HCF of 308,652 is 4.

Lets's calculate GCF of 308,652

Greatest Common Factor (GCF) of 308,652 By Common Division

2	308, 652
2	154, 326
	77, 163

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

Greatest Common Factor of 308,652 By Matching Biggest Common Factor Method

Now, list down the factors of 308

1,2,4,7,11,14,22,28,44,77,154,308

Now, list down the factors of 652

1,2,4,163,326,652

Greatest Common Factor

We found the factors 308,652 . The biggest common factor number is the GCF number.
So the greatest common factor 308,652 is 4.

Lets's calculate LCM of 3297,8429

Lowest Common Multiple of 3297,8429 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 27790413

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/27790413

Therefore, the GCF of Fractions 308/3297,652/8429 is 4/27790413

Least Common Multiple of 3297,8429 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 3297,8429 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3297,8429) = 1

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

GCF(3297,8429) x common factors =1 x 1 = 1

LCM(3297,8429) = ( 3297 × 8429 ) / 1

LCM(3297,8429) = 27790413 / 1

LCM(3297,8429) = 27790413

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 308/3297, 652/8429

1. What is the HCF of 308,652?

The HCF of 308,652 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 308/3297, 652/8429?

Answer: GCF of Numerators as per given numbers 308/3297, 652/8429 is

GCF of Numerators i.e. for 308,652 is 4

LCM of denominators i.e. for 3297,8429 is 27790413.

Thus, GCF of Fractions is 4/27790413.Finally, GCF of Fractions for 308/3297, 652/8429 is 4/27790413.