GCF of 7292/819, 6390/661
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7292/819, 6390/661 i.e 2/541359 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7292/819, 6390/661.
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 7292/819,6390/661?
Given fractions are 7292/819,6390/661
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 7292/819,6390/661, numerators are 7292,6390
Denominators are 819,661
The GCF of 7292,6390 is 2 .
LCM of 819,661 is 541359.
The greatest common factor of 7292/819,6390/661 = [GCF of 7292,6390]/[LCM of 819,661]= 2/541359
Therefore, the GCF of 7292/819,6390/661 is 2/541359.
To find the highest common factor of 7292,6390, we have to find the factors of both numbers and list the highest common factor.
The factors of 7292 are 1, 2, 4, 1823, 3646, 7292
The factors of 6390 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 71, 90, 142, 213, 355, 426, 639, 710, 1065, 1278, 2130, 3195, 6390
The HCF of 7292,6390 is 2.
Lets's calculate GCF of 7292,6390
| 2 | 7292, 6390 |
| 3646, 3195 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7292,6390 By Matching Biggest Common Factor Method
Now, list down the factors of 7292
:1,2,4,1823,3646,7292
Now, list down the factors of 6390
:1,2,3,5,6,9,10,15,18,30,45,71,90,142,213,355,426,639,710,1065,1278,2130,3195,6390
Greatest Common Factor
We found the factors 7292,6390 . The biggest common factor number is the GCF number.
So the greatest common factor 7292,6390 is 2.
Lets's calculate LCM of 819,661
Given numbers has no common factors except 1. So, there LCM is their product i.e 541359
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/541359
Therefore, the GCF of Fractions 7292/819,6390/661 is 2/541359
Least Common Multiple of 819,661 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 819,661 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(819,661) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(819,661) x common factors =1 x 1 = 1
LCM(819,661) = ( 819 × 661 ) / 1
LCM(819,661) = 541359 / 1
LCM(819,661) = 541359
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7292/819, 6390/661
1. What is the HCF of 7292,6390?
The HCF of 7292,6390 is 2
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 7292/819, 6390/661?
Answer: GCF of Numerators as per given numbers 7292/819, 6390/661 is
GCF of Numerators i.e. for 7292,6390 is 2
LCM of denominators i.e. for 819,661 is 541359.
Thus, GCF of Fractions is 2/541359.Finally, GCF of Fractions for 7292/819, 6390/661 is 2/541359.