GCF of 5382/647, 7202/3643
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5382/647, 7202/3643 i.e 26/2357021 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5382/647, 7202/3643.
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 5382/647,7202/3643?
Given fractions are 5382/647,7202/3643
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 5382/647,7202/3643, numerators are 5382,7202
Denominators are 647,3643
The GCF of 5382,7202 is 26 .
LCM of 647,3643 is 2357021.
The greatest common factor of 5382/647,7202/3643 = [GCF of 5382,7202]/[LCM of 647,3643]= 26/2357021
Therefore, the GCF of 5382/647,7202/3643 is 26/2357021.
To find the highest common factor of 5382,7202, we have to find the factors of both numbers and list the highest common factor.
The factors of 5382 are 1, 2, 3, 6, 9, 13, 18, 23, 26, 39, 46, 69, 78, 117, 138, 207, 234, 299, 414, 598, 897, 1794, 2691, 5382
The factors of 7202 are 1, 2, 13, 26, 277, 554, 3601, 7202
The HCF of 5382,7202 is 26.
Lets's calculate GCF of 5382,7202
| 2 | 5382, 7202 |
| 13 | 2691, 3601 |
| 207, 277 |
∴ So the GCF of the given numbers is 2 x 13 = 26
Greatest Common Factor of 5382,7202 By Matching Biggest Common Factor Method
Now, list down the factors of 5382
:1,2,3,6,9,13,18,23,26,39,46,69,78,117,138,207,234,299,414,598,897,1794,2691,5382
Now, list down the factors of 7202
:1,2,13,26,277,554,3601,7202
Greatest Common Factor
We found the factors 5382,7202 . The biggest common factor number is the GCF number.
So the greatest common factor 5382,7202 is 26.
Lets's calculate LCM of 647,3643
Given numbers has no common factors except 1. So, there LCM is their product i.e 2357021
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 26/2357021
Therefore, the GCF of Fractions 5382/647,7202/3643 is 26/2357021
Least Common Multiple of 647,3643 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 647,3643 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(647,3643) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(647,3643) x common factors =1 x 1 = 1
LCM(647,3643) = ( 647 × 3643 ) / 1
LCM(647,3643) = 2357021 / 1
LCM(647,3643) = 2357021
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5382/647, 7202/3643
1. What is the HCF of 5382,7202?
The HCF of 5382,7202 is 26
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 5382/647, 7202/3643?
Answer: GCF of Numerators as per given numbers 5382/647, 7202/3643 is
GCF of Numerators i.e. for 5382,7202 is 26
LCM of denominators i.e. for 647,3643 is 2357021.
Thus, GCF of Fractions is 26/2357021.Finally, GCF of Fractions for 5382/647, 7202/3643 is 26/2357021.