GCF of 9244/712, 1662/318
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9244/712, 1662/318 i.e 2/113208 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9244/712, 1662/318.
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 9244/712,1662/318?
Given fractions are 9244/712,1662/318
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 9244/712,1662/318, numerators are 9244,1662
Denominators are 712,318
The GCF of 9244,1662 is 2 .
LCM of 712,318 is 113208.
The greatest common factor of 9244/712,1662/318 = [GCF of 9244,1662]/[LCM of 712,318]= 2/113208
Therefore, the GCF of 9244/712,1662/318 is 2/113208.
To find the highest common factor of 9244,1662, we have to find the factors of both numbers and list the highest common factor.
The factors of 9244 are 1, 2, 4, 2311, 4622, 9244
The factors of 1662 are 1, 2, 3, 6, 277, 554, 831, 1662
The HCF of 9244,1662 is 2.
Lets's calculate GCF of 9244,1662
| 2 | 9244, 1662 |
| 4622, 831 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9244,1662 By Matching Biggest Common Factor Method
Now, list down the factors of 9244
:1,2,4,2311,4622,9244
Now, list down the factors of 1662
:1,2,3,6,277,554,831,1662
Greatest Common Factor
We found the factors 9244,1662 . The biggest common factor number is the GCF number.
So the greatest common factor 9244,1662 is 2.
Lets's calculate LCM of 712,318
| 2 | 712, 318 |
| 356, 159 |
∴ So the LCM of the given numbers is 2 x 356 x 159 = 113208
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/113208
Therefore, the GCF of Fractions 9244/712,1662/318 is 2/113208
Least Common Multiple of 712,318 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 712,318 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(712,318) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(712,318) x common factors =2 x 1 = 2
LCM(712,318) = ( 712 × 318 ) / 2
LCM(712,318) = 226416 / 2
LCM(712,318) = 113208
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FAQs on GCF of Fractions of 9244/712, 1662/318
1. What is the HCF of 9244,1662?
The HCF of 9244,1662 is 2
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 9244/712, 1662/318?
Answer: GCF of Numerators as per given numbers 9244/712, 1662/318 is
GCF of Numerators i.e. for 9244,1662 is 2
LCM of denominators i.e. for 712,318 is 113208.
Thus, GCF of Fractions is 2/113208.Finally, GCF of Fractions for 9244/712, 1662/318 is 2/113208.