How to Find GCF of 6343/179, 3850/4667?

GCF of 6343/179, 3850/4667

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 6343/179, 3850/4667 i.e 1/835393 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6343/179, 3850/4667.

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 6343/179,3850/4667?

Given fractions are 6343/179,3850/4667

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 6343/179,3850/4667, numerators are 6343,3850

Denominators are 179,4667

The GCF of 6343,3850 is 1 .

LCM of 179,4667 is 835393.

The greatest common factor of 6343/179,3850/4667 = [GCF of 6343,3850]/[LCM of 179,4667]= 1/835393

Therefore, the GCF of 6343/179,3850/4667 is 1/835393.

Greatest Common Factor of 6343,3850

To find the highest common factor of 6343,3850, we have to find the factors of both numbers and list the highest common factor.

The factors of 6343 are 1, 6343

The factors of 3850 are 1, 2, 5, 7, 10, 11, 14, 22, 25, 35, 50, 55, 70, 77, 110, 154, 175, 275, 350, 385, 550, 770, 1925, 3850

The HCF of 6343,3850 is 1.

Lets's calculate GCF of 6343,3850

Greatest Common Factor (GCF) of 6343,3850 By Common Division

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

Greatest Common Factor of 6343,3850 By Matching Biggest Common Factor Method

Now, list down the factors of 6343

1,6343

Now, list down the factors of 3850

1,2,5,7,10,11,14,22,25,35,50,55,70,77,110,154,175,275,350,385,550,770,1925,3850

Greatest Common Factor

We found the factors 6343,3850 . The biggest common factor number is the GCF number.
So the greatest common factor 6343,3850 is 1.

Lets's calculate LCM of 179,4667

Lowest Common Multiple of 179,4667 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 835393

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/835393

Therefore, the GCF of Fractions 6343/179,3850/4667 is 1/835393

Least Common Multiple of 179,4667 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 179,4667 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(179,4667) = 1

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

GCF(179,4667) x common factors =1 x 1 = 1

LCM(179,4667) = ( 179 × 4667 ) / 1

LCM(179,4667) = 835393 / 1

LCM(179,4667) = 835393

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FAQs on GCF of Fractions of 6343/179, 3850/4667

1. What is the HCF of 6343,3850?

The HCF of 6343,3850 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 6343/179, 3850/4667?

Answer: GCF of Numerators as per given numbers 6343/179, 3850/4667 is

GCF of Numerators i.e. for 6343,3850 is 1

LCM of denominators i.e. for 179,4667 is 835393.

Thus, GCF of Fractions is 1/835393.Finally, GCF of Fractions for 6343/179, 3850/4667 is 1/835393.