GCF of 7362/756, 2717/6832
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7362/756, 2717/6832 i.e 1/184464 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7362/756, 2717/6832.
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 7362/756,2717/6832?
Given fractions are 7362/756,2717/6832
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 7362/756,2717/6832, numerators are 7362,2717
Denominators are 756,6832
The GCF of 7362,2717 is 1 .
LCM of 756,6832 is 184464.
The greatest common factor of 7362/756,2717/6832 = [GCF of 7362,2717]/[LCM of 756,6832]= 1/184464
Therefore, the GCF of 7362/756,2717/6832 is 1/184464.
To find the highest common factor of 7362,2717, 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 2717 are 1, 11, 13, 19, 143, 209, 247, 2717
The HCF of 7362,2717 is 1.
Lets's calculate GCF of 7362,2717
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7362,2717 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 2717
:1,11,13,19,143,209,247,2717
Greatest Common Factor
We found the factors 7362,2717 . The biggest common factor number is the GCF number.
So the greatest common factor 7362,2717 is 1.
Lets's calculate LCM of 756,6832
| 2 | 756, 6832 |
| 2 | 378, 3416 |
| 7 | 189, 1708 |
| 27, 244 |
∴ So the LCM of the given numbers is 2 x 2 x 7 x 27 x 244 = 184464
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/184464
Therefore, the GCF of Fractions 7362/756,2717/6832 is 1/184464
Least Common Multiple of 756,6832 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 756,6832 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(756,6832) = 28
common factors(in case of two or more numbers have common factors) = 1
GCF(756,6832) x common factors =28 x 1 = 28
LCM(756,6832) = ( 756 × 6832 ) / 28
LCM(756,6832) = 5164992 / 28
LCM(756,6832) = 184464
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FAQs on GCF of Fractions of 7362/756, 2717/6832
1. What is the HCF of 7362,2717?
The HCF of 7362,2717 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 7362/756, 2717/6832?
Answer: GCF of Numerators as per given numbers 7362/756, 2717/6832 is
GCF of Numerators i.e. for 7362,2717 is 1
LCM of denominators i.e. for 756,6832 is 184464.
Thus, GCF of Fractions is 1/184464.Finally, GCF of Fractions for 7362/756, 2717/6832 is 1/184464.