GCF of 3479/493, 8344/5250
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3479/493, 8344/5250 i.e 7/2588250 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3479/493, 8344/5250.
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 3479/493,8344/5250?
Given fractions are 3479/493,8344/5250
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 3479/493,8344/5250, numerators are 3479,8344
Denominators are 493,5250
The GCF of 3479,8344 is 7 .
LCM of 493,5250 is 2588250.
The greatest common factor of 3479/493,8344/5250 = [GCF of 3479,8344]/[LCM of 493,5250]= 7/2588250
Therefore, the GCF of 3479/493,8344/5250 is 7/2588250.
To find the highest common factor of 3479,8344, we have to find the factors of both numbers and list the highest common factor.
The factors of 3479 are 1, 7, 49, 71, 497, 3479
The factors of 8344 are 1, 2, 4, 7, 8, 14, 28, 56, 149, 298, 596, 1043, 1192, 2086, 4172, 8344
The HCF of 3479,8344 is 7.
Lets's calculate GCF of 3479,8344
| 7 | 3479, 8344 |
| 497, 1192 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 3479,8344 By Matching Biggest Common Factor Method
Now, list down the factors of 3479
:1,7,49,71,497,3479
Now, list down the factors of 8344
:1,2,4,7,8,14,28,56,149,298,596,1043,1192,2086,4172,8344
Greatest Common Factor
We found the factors 3479,8344 . The biggest common factor number is the GCF number.
So the greatest common factor 3479,8344 is 7.
Lets's calculate LCM of 493,5250
Given numbers has no common factors except 1. So, there LCM is their product i.e 2588250
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/2588250
Therefore, the GCF of Fractions 3479/493,8344/5250 is 7/2588250
Least Common Multiple of 493,5250 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 493,5250 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(493,5250) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(493,5250) x common factors =1 x 1 = 1
LCM(493,5250) = ( 493 × 5250 ) / 1
LCM(493,5250) = 2588250 / 1
LCM(493,5250) = 2588250
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3479/493, 8344/5250
1. What is the HCF of 3479,8344?
The HCF of 3479,8344 is 7
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 3479/493, 8344/5250?
Answer: GCF of Numerators as per given numbers 3479/493, 8344/5250 is
GCF of Numerators i.e. for 3479,8344 is 7
LCM of denominators i.e. for 493,5250 is 2588250.
Thus, GCF of Fractions is 7/2588250.Finally, GCF of Fractions for 3479/493, 8344/5250 is 7/2588250.