GCF of 9286/712, 3222/574
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9286/712, 3222/574 i.e 2/204344 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9286/712, 3222/574.
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 9286/712,3222/574?
Given fractions are 9286/712,3222/574
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 9286/712,3222/574, numerators are 9286,3222
Denominators are 712,574
The GCF of 9286,3222 is 2 .
LCM of 712,574 is 204344.
The greatest common factor of 9286/712,3222/574 = [GCF of 9286,3222]/[LCM of 712,574]= 2/204344
Therefore, the GCF of 9286/712,3222/574 is 2/204344.
To find the highest common factor of 9286,3222, we have to find the factors of both numbers and list the highest common factor.
The factors of 9286 are 1, 2, 4643, 9286
The factors of 3222 are 1, 2, 3, 6, 9, 18, 179, 358, 537, 1074, 1611, 3222
The HCF of 9286,3222 is 2.
Lets's calculate GCF of 9286,3222
| 2 | 9286, 3222 |
| 4643, 1611 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9286,3222 By Matching Biggest Common Factor Method
Now, list down the factors of 9286
:1,2,4643,9286
Now, list down the factors of 3222
:1,2,3,6,9,18,179,358,537,1074,1611,3222
Greatest Common Factor
We found the factors 9286,3222 . The biggest common factor number is the GCF number.
So the greatest common factor 9286,3222 is 2.
Lets's calculate LCM of 712,574
| 2 | 712, 574 |
| 356, 287 |
∴ So the LCM of the given numbers is 2 x 356 x 287 = 204344
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/204344
Therefore, the GCF of Fractions 9286/712,3222/574 is 2/204344
Least Common Multiple of 712,574 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 712,574 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(712,574) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(712,574) x common factors =2 x 1 = 2
LCM(712,574) = ( 712 × 574 ) / 2
LCM(712,574) = 408688 / 2
LCM(712,574) = 204344
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FAQs on GCF of Fractions of 9286/712, 3222/574
1. What is the HCF of 9286,3222?
The HCF of 9286,3222 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 9286/712, 3222/574?
Answer: GCF of Numerators as per given numbers 9286/712, 3222/574 is
GCF of Numerators i.e. for 9286,3222 is 2
LCM of denominators i.e. for 712,574 is 204344.
Thus, GCF of Fractions is 2/204344.Finally, GCF of Fractions for 9286/712, 3222/574 is 2/204344.