GCF of 9099/762, 7345/1734
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9099/762, 7345/1734 i.e 1/220218 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9099/762, 7345/1734.
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 9099/762,7345/1734?
Given fractions are 9099/762,7345/1734
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 9099/762,7345/1734, numerators are 9099,7345
Denominators are 762,1734
The GCF of 9099,7345 is 1 .
LCM of 762,1734 is 220218.
The greatest common factor of 9099/762,7345/1734 = [GCF of 9099,7345]/[LCM of 762,1734]= 1/220218
Therefore, the GCF of 9099/762,7345/1734 is 1/220218.
To find the highest common factor of 9099,7345, we have to find the factors of both numbers and list the highest common factor.
The factors of 9099 are 1, 3, 9, 27, 337, 1011, 3033, 9099
The factors of 7345 are 1, 5, 13, 65, 113, 565, 1469, 7345
The HCF of 9099,7345 is 1.
Lets's calculate GCF of 9099,7345
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9099,7345 By Matching Biggest Common Factor Method
Now, list down the factors of 9099
:1,3,9,27,337,1011,3033,9099
Now, list down the factors of 7345
:1,5,13,65,113,565,1469,7345
Greatest Common Factor
We found the factors 9099,7345 . The biggest common factor number is the GCF number.
So the greatest common factor 9099,7345 is 1.
Lets's calculate LCM of 762,1734
| 2 | 762, 1734 |
| 3 | 381, 867 |
| 127, 289 |
∴ So the LCM of the given numbers is 2 x 3 x 127 x 289 = 220218
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/220218
Therefore, the GCF of Fractions 9099/762,7345/1734 is 1/220218
Least Common Multiple of 762,1734 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 762,1734 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(762,1734) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(762,1734) x common factors =6 x 1 = 6
LCM(762,1734) = ( 762 × 1734 ) / 6
LCM(762,1734) = 1321308 / 6
LCM(762,1734) = 220218
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FAQs on GCF of Fractions of 9099/762, 7345/1734
1. What is the HCF of 9099,7345?
The HCF of 9099,7345 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 9099/762, 7345/1734?
Answer: GCF of Numerators as per given numbers 9099/762, 7345/1734 is
GCF of Numerators i.e. for 9099,7345 is 1
LCM of denominators i.e. for 762,1734 is 220218.
Thus, GCF of Fractions is 1/220218.Finally, GCF of Fractions for 9099/762, 7345/1734 is 1/220218.