GCF of 9554/599, 2218/362
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9554/599, 2218/362 i.e 2/216838 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9554/599, 2218/362.
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 9554/599,2218/362?
Given fractions are 9554/599,2218/362
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 9554/599,2218/362, numerators are 9554,2218
Denominators are 599,362
The GCF of 9554,2218 is 2 .
LCM of 599,362 is 216838.
The greatest common factor of 9554/599,2218/362 = [GCF of 9554,2218]/[LCM of 599,362]= 2/216838
Therefore, the GCF of 9554/599,2218/362 is 2/216838.
To find the highest common factor of 9554,2218, we have to find the factors of both numbers and list the highest common factor.
The factors of 9554 are 1, 2, 17, 34, 281, 562, 4777, 9554
The factors of 2218 are 1, 2, 1109, 2218
The HCF of 9554,2218 is 2.
Lets's calculate GCF of 9554,2218
| 2 | 9554, 2218 |
| 4777, 1109 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9554,2218 By Matching Biggest Common Factor Method
Now, list down the factors of 9554
:1,2,17,34,281,562,4777,9554
Now, list down the factors of 2218
:1,2,1109,2218
Greatest Common Factor
We found the factors 9554,2218 . The biggest common factor number is the GCF number.
So the greatest common factor 9554,2218 is 2.
Lets's calculate LCM of 599,362
Given numbers has no common factors except 1. So, there LCM is their product i.e 216838
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/216838
Therefore, the GCF of Fractions 9554/599,2218/362 is 2/216838
Least Common Multiple of 599,362 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 599,362 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(599,362) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(599,362) x common factors =1 x 1 = 1
LCM(599,362) = ( 599 × 362 ) / 1
LCM(599,362) = 216838 / 1
LCM(599,362) = 216838
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FAQs on GCF of Fractions of 9554/599, 2218/362
1. What is the HCF of 9554,2218?
The HCF of 9554,2218 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 9554/599, 2218/362?
Answer: GCF of Numerators as per given numbers 9554/599, 2218/362 is
GCF of Numerators i.e. for 9554,2218 is 2
LCM of denominators i.e. for 599,362 is 216838.
Thus, GCF of Fractions is 2/216838.Finally, GCF of Fractions for 9554/599, 2218/362 is 2/216838.