GCF of 9830/569, 1178/3545
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9830/569, 1178/3545 i.e 2/2017105 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9830/569, 1178/3545.
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 9830/569,1178/3545?
Given fractions are 9830/569,1178/3545
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 9830/569,1178/3545, numerators are 9830,1178
Denominators are 569,3545
The GCF of 9830,1178 is 2 .
LCM of 569,3545 is 2017105.
The greatest common factor of 9830/569,1178/3545 = [GCF of 9830,1178]/[LCM of 569,3545]= 2/2017105
Therefore, the GCF of 9830/569,1178/3545 is 2/2017105.
To find the highest common factor of 9830,1178, we have to find the factors of both numbers and list the highest common factor.
The factors of 9830 are 1, 2, 5, 10, 983, 1966, 4915, 9830
The factors of 1178 are 1, 2, 19, 31, 38, 62, 589, 1178
The HCF of 9830,1178 is 2.
Lets's calculate GCF of 9830,1178
| 2 | 9830, 1178 |
| 4915, 589 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9830,1178 By Matching Biggest Common Factor Method
Now, list down the factors of 9830
:1,2,5,10,983,1966,4915,9830
Now, list down the factors of 1178
:1,2,19,31,38,62,589,1178
Greatest Common Factor
We found the factors 9830,1178 . The biggest common factor number is the GCF number.
So the greatest common factor 9830,1178 is 2.
Lets's calculate LCM of 569,3545
Given numbers has no common factors except 1. So, there LCM is their product i.e 2017105
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2017105
Therefore, the GCF of Fractions 9830/569,1178/3545 is 2/2017105
Least Common Multiple of 569,3545 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 569,3545 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(569,3545) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(569,3545) x common factors =1 x 1 = 1
LCM(569,3545) = ( 569 × 3545 ) / 1
LCM(569,3545) = 2017105 / 1
LCM(569,3545) = 2017105
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FAQs on GCF of Fractions of 9830/569, 1178/3545
1. What is the HCF of 9830,1178?
The HCF of 9830,1178 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 9830/569, 1178/3545?
Answer: GCF of Numerators as per given numbers 9830/569, 1178/3545 is
GCF of Numerators i.e. for 9830,1178 is 2
LCM of denominators i.e. for 569,3545 is 2017105.
Thus, GCF of Fractions is 2/2017105.Finally, GCF of Fractions for 9830/569, 1178/3545 is 2/2017105.