GCF of 7362/794, 4493/7206
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7362/794, 4493/7206 i.e 1/2860782 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7362/794, 4493/7206.
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 7362/794,4493/7206?
Given fractions are 7362/794,4493/7206
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 7362/794,4493/7206, numerators are 7362,4493
Denominators are 794,7206
The GCF of 7362,4493 is 1 .
LCM of 794,7206 is 2860782.
The greatest common factor of 7362/794,4493/7206 = [GCF of 7362,4493]/[LCM of 794,7206]= 1/2860782
Therefore, the GCF of 7362/794,4493/7206 is 1/2860782.
To find the highest common factor of 7362,4493, we have to find the factors of both numbers and list the highest common factor.
The factors of 7362 are 1, 2, 3, 6, 9, 18, 409, 818, 1227, 2454, 3681, 7362
The factors of 4493 are 1, 4493
The HCF of 7362,4493 is 1.
Lets's calculate GCF of 7362,4493
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7362,4493 By Matching Biggest Common Factor Method
Now, list down the factors of 7362
:1,2,3,6,9,18,409,818,1227,2454,3681,7362
Now, list down the factors of 4493
:1,4493
Greatest Common Factor
We found the factors 7362,4493 . The biggest common factor number is the GCF number.
So the greatest common factor 7362,4493 is 1.
Lets's calculate LCM of 794,7206
| 2 | 794, 7206 |
| 397, 3603 |
∴ So the LCM of the given numbers is 2 x 397 x 3603 = 2860782
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2860782
Therefore, the GCF of Fractions 7362/794,4493/7206 is 1/2860782
Least Common Multiple of 794,7206 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 794,7206 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(794,7206) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(794,7206) x common factors =2 x 1 = 2
LCM(794,7206) = ( 794 × 7206 ) / 2
LCM(794,7206) = 5721564 / 2
LCM(794,7206) = 2860782
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FAQs on GCF of Fractions of 7362/794, 4493/7206
1. What is the HCF of 7362,4493?
The HCF of 7362,4493 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 7362/794, 4493/7206?
Answer: GCF of Numerators as per given numbers 7362/794, 4493/7206 is
GCF of Numerators i.e. for 7362,4493 is 1
LCM of denominators i.e. for 794,7206 is 2860782.
Thus, GCF of Fractions is 1/2860782.Finally, GCF of Fractions for 7362/794, 4493/7206 is 1/2860782.