GCF of 9820/518, 5846/1235
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9820/518, 5846/1235 i.e 2/639730 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9820/518, 5846/1235.
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 9820/518,5846/1235?
Given fractions are 9820/518,5846/1235
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 9820/518,5846/1235, numerators are 9820,5846
Denominators are 518,1235
The GCF of 9820,5846 is 2 .
LCM of 518,1235 is 639730.
The greatest common factor of 9820/518,5846/1235 = [GCF of 9820,5846]/[LCM of 518,1235]= 2/639730
Therefore, the GCF of 9820/518,5846/1235 is 2/639730.
To find the highest common factor of 9820,5846, we have to find the factors of both numbers and list the highest common factor.
The factors of 9820 are 1, 2, 4, 5, 10, 20, 491, 982, 1964, 2455, 4910, 9820
The factors of 5846 are 1, 2, 37, 74, 79, 158, 2923, 5846
The HCF of 9820,5846 is 2.
Lets's calculate GCF of 9820,5846
| 2 | 9820, 5846 |
| 4910, 2923 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9820,5846 By Matching Biggest Common Factor Method
Now, list down the factors of 9820
:1,2,4,5,10,20,491,982,1964,2455,4910,9820
Now, list down the factors of 5846
:1,2,37,74,79,158,2923,5846
Greatest Common Factor
We found the factors 9820,5846 . The biggest common factor number is the GCF number.
So the greatest common factor 9820,5846 is 2.
Lets's calculate LCM of 518,1235
Given numbers has no common factors except 1. So, there LCM is their product i.e 639730
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/639730
Therefore, the GCF of Fractions 9820/518,5846/1235 is 2/639730
Least Common Multiple of 518,1235 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 518,1235 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(518,1235) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(518,1235) x common factors =1 x 1 = 1
LCM(518,1235) = ( 518 × 1235 ) / 1
LCM(518,1235) = 639730 / 1
LCM(518,1235) = 639730
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FAQs on GCF of Fractions of 9820/518, 5846/1235
1. What is the HCF of 9820,5846?
The HCF of 9820,5846 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 9820/518, 5846/1235?
Answer: GCF of Numerators as per given numbers 9820/518, 5846/1235 is
GCF of Numerators i.e. for 9820,5846 is 2
LCM of denominators i.e. for 518,1235 is 639730.
Thus, GCF of Fractions is 2/639730.Finally, GCF of Fractions for 9820/518, 5846/1235 is 2/639730.