GCF of 6012/716, 9413/3606
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6012/716, 9413/3606 i.e 1/1290948 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6012/716, 9413/3606.
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 6012/716,9413/3606?
Given fractions are 6012/716,9413/3606
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 6012/716,9413/3606, numerators are 6012,9413
Denominators are 716,3606
The GCF of 6012,9413 is 1 .
LCM of 716,3606 is 1290948.
The greatest common factor of 6012/716,9413/3606 = [GCF of 6012,9413]/[LCM of 716,3606]= 1/1290948
Therefore, the GCF of 6012/716,9413/3606 is 1/1290948.
To find the highest common factor of 6012,9413, we have to find the factors of both numbers and list the highest common factor.
The factors of 6012 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 167, 334, 501, 668, 1002, 1503, 2004, 3006, 6012
The factors of 9413 are 1, 9413
The HCF of 6012,9413 is 1.
Lets's calculate GCF of 6012,9413
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6012,9413 By Matching Biggest Common Factor Method
Now, list down the factors of 6012
:1,2,3,4,6,9,12,18,36,167,334,501,668,1002,1503,2004,3006,6012
Now, list down the factors of 9413
:1,9413
Greatest Common Factor
We found the factors 6012,9413 . The biggest common factor number is the GCF number.
So the greatest common factor 6012,9413 is 1.
Lets's calculate LCM of 716,3606
| 2 | 716, 3606 |
| 358, 1803 |
∴ So the LCM of the given numbers is 2 x 358 x 1803 = 1290948
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1290948
Therefore, the GCF of Fractions 6012/716,9413/3606 is 1/1290948
Least Common Multiple of 716,3606 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 716,3606 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(716,3606) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(716,3606) x common factors =2 x 1 = 2
LCM(716,3606) = ( 716 × 3606 ) / 2
LCM(716,3606) = 2581896 / 2
LCM(716,3606) = 1290948
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FAQs on GCF of Fractions of 6012/716, 9413/3606
1. What is the HCF of 6012,9413?
The HCF of 6012,9413 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 6012/716, 9413/3606?
Answer: GCF of Numerators as per given numbers 6012/716, 9413/3606 is
GCF of Numerators i.e. for 6012,9413 is 1
LCM of denominators i.e. for 716,3606 is 1290948.
Thus, GCF of Fractions is 1/1290948.Finally, GCF of Fractions for 6012/716, 9413/3606 is 1/1290948.