GCF of 9742/372, 6007/6662
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9742/372, 6007/6662 i.e 1/1239132 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9742/372, 6007/6662.
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 9742/372,6007/6662?
Given fractions are 9742/372,6007/6662
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 9742/372,6007/6662, numerators are 9742,6007
Denominators are 372,6662
The GCF of 9742,6007 is 1 .
LCM of 372,6662 is 1239132.
The greatest common factor of 9742/372,6007/6662 = [GCF of 9742,6007]/[LCM of 372,6662]= 1/1239132
Therefore, the GCF of 9742/372,6007/6662 is 1/1239132.
To find the highest common factor of 9742,6007, we have to find the factors of both numbers and list the highest common factor.
The factors of 9742 are 1, 2, 4871, 9742
The factors of 6007 are 1, 6007
The HCF of 9742,6007 is 1.
Lets's calculate GCF of 9742,6007
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9742,6007 By Matching Biggest Common Factor Method
Now, list down the factors of 9742
:1,2,4871,9742
Now, list down the factors of 6007
:1,6007
Greatest Common Factor
We found the factors 9742,6007 . The biggest common factor number is the GCF number.
So the greatest common factor 9742,6007 is 1.
Lets's calculate LCM of 372,6662
| 2 | 372, 6662 |
| 186, 3331 |
∴ So the LCM of the given numbers is 2 x 186 x 3331 = 1239132
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1239132
Therefore, the GCF of Fractions 9742/372,6007/6662 is 1/1239132
Least Common Multiple of 372,6662 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 372,6662 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(372,6662) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(372,6662) x common factors =2 x 1 = 2
LCM(372,6662) = ( 372 × 6662 ) / 2
LCM(372,6662) = 2478264 / 2
LCM(372,6662) = 1239132
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FAQs on GCF of Fractions of 9742/372, 6007/6662
1. What is the HCF of 9742,6007?
The HCF of 9742,6007 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 9742/372, 6007/6662?
Answer: GCF of Numerators as per given numbers 9742/372, 6007/6662 is
GCF of Numerators i.e. for 9742,6007 is 1
LCM of denominators i.e. for 372,6662 is 1239132.
Thus, GCF of Fractions is 1/1239132.Finally, GCF of Fractions for 9742/372, 6007/6662 is 1/1239132.