How to Find GCF of 6309/377, 8275/4173?

GCF of 6309/377, 8275/4173

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 6309/377, 8275/4173 i.e 1/121017 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6309/377, 8275/4173.

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 6309/377,8275/4173?

Given fractions are 6309/377,8275/4173

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 6309/377,8275/4173, numerators are 6309,8275

Denominators are 377,4173

The GCF of 6309,8275 is 1 .

LCM of 377,4173 is 121017.

The greatest common factor of 6309/377,8275/4173 = [GCF of 6309,8275]/[LCM of 377,4173]= 1/121017

Therefore, the GCF of 6309/377,8275/4173 is 1/121017.

Greatest Common Factor of 6309,8275

To find the highest common factor of 6309,8275, we have to find the factors of both numbers and list the highest common factor.

The factors of 6309 are 1, 3, 9, 701, 2103, 6309

The factors of 8275 are 1, 5, 25, 331, 1655, 8275

The HCF of 6309,8275 is 1.

Lets's calculate GCF of 6309,8275

Greatest Common Factor (GCF) of 6309,8275 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 6309,8275 By Matching Biggest Common Factor Method

Now, list down the factors of 6309

1,3,9,701,2103,6309

Now, list down the factors of 8275

1,5,25,331,1655,8275

Greatest Common Factor

We found the factors 6309,8275 . The biggest common factor number is the GCF number.
So the greatest common factor 6309,8275 is 1.

Lets's calculate LCM of 377,4173

Lowest Common Multiple of 377,4173 using Common Division

13	377, 4173
	29, 321

∴ So the LCM of the given numbers is 13 x 29 x 321 = 121017

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/121017

Therefore, the GCF of Fractions 6309/377,8275/4173 is 1/121017

Least Common Multiple of 377,4173 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 377,4173 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(377,4173) = 13

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

GCF(377,4173) x common factors =13 x 1 = 13

LCM(377,4173) = ( 377 × 4173 ) / 13

LCM(377,4173) = 1573221 / 13

LCM(377,4173) = 121017

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FAQs on GCF of Fractions of 6309/377, 8275/4173

1. What is the HCF of 6309,8275?

The HCF of 6309,8275 is 1

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 6309/377, 8275/4173?

Answer: GCF of Numerators as per given numbers 6309/377, 8275/4173 is

GCF of Numerators i.e. for 6309,8275 is 1

LCM of denominators i.e. for 377,4173 is 121017.

Thus, GCF of Fractions is 1/121017.Finally, GCF of Fractions for 6309/377, 8275/4173 is 1/121017.