GCF of 6041/376, 9213/4270
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6041/376, 9213/4270 i.e 1/802760 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6041/376, 9213/4270.
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 6041/376,9213/4270?
Given fractions are 6041/376,9213/4270
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 6041/376,9213/4270, numerators are 6041,9213
Denominators are 376,4270
The GCF of 6041,9213 is 1 .
LCM of 376,4270 is 802760.
The greatest common factor of 6041/376,9213/4270 = [GCF of 6041,9213]/[LCM of 376,4270]= 1/802760
Therefore, the GCF of 6041/376,9213/4270 is 1/802760.
To find the highest common factor of 6041,9213, we have to find the factors of both numbers and list the highest common factor.
The factors of 6041 are 1, 7, 863, 6041
The factors of 9213 are 1, 3, 37, 83, 111, 249, 3071, 9213
The HCF of 6041,9213 is 1.
Lets's calculate GCF of 6041,9213
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6041,9213 By Matching Biggest Common Factor Method
Now, list down the factors of 6041
:1,7,863,6041
Now, list down the factors of 9213
:1,3,37,83,111,249,3071,9213
Greatest Common Factor
We found the factors 6041,9213 . The biggest common factor number is the GCF number.
So the greatest common factor 6041,9213 is 1.
Lets's calculate LCM of 376,4270
| 2 | 376, 4270 |
| 188, 2135 |
∴ So the LCM of the given numbers is 2 x 188 x 2135 = 802760
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/802760
Therefore, the GCF of Fractions 6041/376,9213/4270 is 1/802760
Least Common Multiple of 376,4270 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 376,4270 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(376,4270) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(376,4270) x common factors =2 x 1 = 2
LCM(376,4270) = ( 376 × 4270 ) / 2
LCM(376,4270) = 1605520 / 2
LCM(376,4270) = 802760
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6041/376, 9213/4270
1. What is the HCF of 6041,9213?
The HCF of 6041,9213 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 6041/376, 9213/4270?
Answer: GCF of Numerators as per given numbers 6041/376, 9213/4270 is
GCF of Numerators i.e. for 6041,9213 is 1
LCM of denominators i.e. for 376,4270 is 802760.
Thus, GCF of Fractions is 1/802760.Finally, GCF of Fractions for 6041/376, 9213/4270 is 1/802760.