How to Find GCF of 387/829, 8307/5026?

GCF of 387/829, 8307/5026

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 387/829, 8307/5026 i.e 9/4166554 easily. The following is the detailed procedure to determine the greatest common factor of fractions 387/829, 8307/5026.

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 387/829,8307/5026?

Given fractions are 387/829,8307/5026

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 387/829,8307/5026, numerators are 387,8307

Denominators are 829,5026

The GCF of 387,8307 is 9 .

LCM of 829,5026 is 4166554.

The greatest common factor of 387/829,8307/5026 = [GCF of 387,8307]/[LCM of 829,5026]= 9/4166554

Therefore, the GCF of 387/829,8307/5026 is 9/4166554.

Greatest Common Factor of 387,8307

To find the highest common factor of 387,8307, we have to find the factors of both numbers and list the highest common factor.

The factors of 387 are 1, 3, 9, 43, 129, 387

The factors of 8307 are 1, 3, 9, 13, 39, 71, 117, 213, 639, 923, 2769, 8307

The HCF of 387,8307 is 9.

Lets's calculate GCF of 387,8307

Greatest Common Factor (GCF) of 387,8307 By Common Division

3	387, 8307
3	129, 2769
	43, 923

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 387,8307 By Matching Biggest Common Factor Method

Now, list down the factors of 387

1,3,9,43,129,387

Now, list down the factors of 8307

1,3,9,13,39,71,117,213,639,923,2769,8307

Greatest Common Factor

We found the factors 387,8307 . The biggest common factor number is the GCF number.
So the greatest common factor 387,8307 is 9.

Lets's calculate LCM of 829,5026

Lowest Common Multiple of 829,5026 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4166554

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/4166554

Therefore, the GCF of Fractions 387/829,8307/5026 is 9/4166554

Least Common Multiple of 829,5026 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 829,5026 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(829,5026) = 1

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

GCF(829,5026) x common factors =1 x 1 = 1

LCM(829,5026) = ( 829 × 5026 ) / 1

LCM(829,5026) = 4166554 / 1

LCM(829,5026) = 4166554

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FAQs on GCF of Fractions of 387/829, 8307/5026

1. What is the HCF of 387,8307?

The HCF of 387,8307 is 9

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 387/829, 8307/5026?

Answer: GCF of Numerators as per given numbers 387/829, 8307/5026 is

GCF of Numerators i.e. for 387,8307 is 9

LCM of denominators i.e. for 829,5026 is 4166554.

Thus, GCF of Fractions is 9/4166554.Finally, GCF of Fractions for 387/829, 8307/5026 is 9/4166554.