GCF of 9306/305, 2572/3685
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9306/305, 2572/3685 i.e 2/224785 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9306/305, 2572/3685.
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 9306/305,2572/3685?
Given fractions are 9306/305,2572/3685
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 9306/305,2572/3685, numerators are 9306,2572
Denominators are 305,3685
The GCF of 9306,2572 is 2 .
LCM of 305,3685 is 224785.
The greatest common factor of 9306/305,2572/3685 = [GCF of 9306,2572]/[LCM of 305,3685]= 2/224785
Therefore, the GCF of 9306/305,2572/3685 is 2/224785.
To find the highest common factor of 9306,2572, we have to find the factors of both numbers and list the highest common factor.
The factors of 9306 are 1, 2, 3, 6, 9, 11, 18, 22, 33, 47, 66, 94, 99, 141, 198, 282, 423, 517, 846, 1034, 1551, 3102, 4653, 9306
The factors of 2572 are 1, 2, 4, 643, 1286, 2572
The HCF of 9306,2572 is 2.
Lets's calculate GCF of 9306,2572
| 2 | 9306, 2572 |
| 4653, 1286 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9306,2572 By Matching Biggest Common Factor Method
Now, list down the factors of 9306
:1,2,3,6,9,11,18,22,33,47,66,94,99,141,198,282,423,517,846,1034,1551,3102,4653,9306
Now, list down the factors of 2572
:1,2,4,643,1286,2572
Greatest Common Factor
We found the factors 9306,2572 . The biggest common factor number is the GCF number.
So the greatest common factor 9306,2572 is 2.
Lets's calculate LCM of 305,3685
| 5 | 305, 3685 |
| 61, 737 |
∴ So the LCM of the given numbers is 5 x 61 x 737 = 224785
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/224785
Therefore, the GCF of Fractions 9306/305,2572/3685 is 2/224785
Least Common Multiple of 305,3685 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 305,3685 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(305,3685) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(305,3685) x common factors =5 x 1 = 5
LCM(305,3685) = ( 305 × 3685 ) / 5
LCM(305,3685) = 1123925 / 5
LCM(305,3685) = 224785
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FAQs on GCF of Fractions of 9306/305, 2572/3685
1. What is the HCF of 9306,2572?
The HCF of 9306,2572 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 9306/305, 2572/3685?
Answer: GCF of Numerators as per given numbers 9306/305, 2572/3685 is
GCF of Numerators i.e. for 9306,2572 is 2
LCM of denominators i.e. for 305,3685 is 224785.
Thus, GCF of Fractions is 2/224785.Finally, GCF of Fractions for 9306/305, 2572/3685 is 2/224785.