GCF of 4372/802, 9306/4508
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4372/802, 9306/4508 i.e 2/1807708 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4372/802, 9306/4508.
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 4372/802,9306/4508?
Given fractions are 4372/802,9306/4508
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 4372/802,9306/4508, numerators are 4372,9306
Denominators are 802,4508
The GCF of 4372,9306 is 2 .
LCM of 802,4508 is 1807708.
The greatest common factor of 4372/802,9306/4508 = [GCF of 4372,9306]/[LCM of 802,4508]= 2/1807708
Therefore, the GCF of 4372/802,9306/4508 is 2/1807708.
To find the highest common factor of 4372,9306, we have to find the factors of both numbers and list the highest common factor.
The factors of 4372 are 1, 2, 4, 1093, 2186, 4372
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 HCF of 4372,9306 is 2.
Lets's calculate GCF of 4372,9306
| 2 | 4372, 9306 |
| 2186, 4653 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4372,9306 By Matching Biggest Common Factor Method
Now, list down the factors of 4372
:1,2,4,1093,2186,4372
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
Greatest Common Factor
We found the factors 4372,9306 . The biggest common factor number is the GCF number.
So the greatest common factor 4372,9306 is 2.
Lets's calculate LCM of 802,4508
| 2 | 802, 4508 |
| 401, 2254 |
∴ So the LCM of the given numbers is 2 x 401 x 2254 = 1807708
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1807708
Therefore, the GCF of Fractions 4372/802,9306/4508 is 2/1807708
Least Common Multiple of 802,4508 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 802,4508 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(802,4508) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(802,4508) x common factors =2 x 1 = 2
LCM(802,4508) = ( 802 × 4508 ) / 2
LCM(802,4508) = 3615416 / 2
LCM(802,4508) = 1807708
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FAQs on GCF of Fractions of 4372/802, 9306/4508
1. What is the HCF of 4372,9306?
The HCF of 4372,9306 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 4372/802, 9306/4508?
Answer: GCF of Numerators as per given numbers 4372/802, 9306/4508 is
GCF of Numerators i.e. for 4372,9306 is 2
LCM of denominators i.e. for 802,4508 is 1807708.
Thus, GCF of Fractions is 2/1807708.Finally, GCF of Fractions for 4372/802, 9306/4508 is 2/1807708.