GCF of 9838/649, 9770/2071
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9838/649, 9770/2071 i.e 2/1344079 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9838/649, 9770/2071.
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 9838/649,9770/2071?
Given fractions are 9838/649,9770/2071
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 9838/649,9770/2071, numerators are 9838,9770
Denominators are 649,2071
The GCF of 9838,9770 is 2 .
LCM of 649,2071 is 1344079.
The greatest common factor of 9838/649,9770/2071 = [GCF of 9838,9770]/[LCM of 649,2071]= 2/1344079
Therefore, the GCF of 9838/649,9770/2071 is 2/1344079.
To find the highest common factor of 9838,9770, we have to find the factors of both numbers and list the highest common factor.
The factors of 9838 are 1, 2, 4919, 9838
The factors of 9770 are 1, 2, 5, 10, 977, 1954, 4885, 9770
The HCF of 9838,9770 is 2.
Lets's calculate GCF of 9838,9770
| 2 | 9838, 9770 |
| 4919, 4885 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9838,9770 By Matching Biggest Common Factor Method
Now, list down the factors of 9838
:1,2,4919,9838
Now, list down the factors of 9770
:1,2,5,10,977,1954,4885,9770
Greatest Common Factor
We found the factors 9838,9770 . The biggest common factor number is the GCF number.
So the greatest common factor 9838,9770 is 2.
Lets's calculate LCM of 649,2071
Given numbers has no common factors except 1. So, there LCM is their product i.e 1344079
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1344079
Therefore, the GCF of Fractions 9838/649,9770/2071 is 2/1344079
Least Common Multiple of 649,2071 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 649,2071 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(649,2071) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(649,2071) x common factors =1 x 1 = 1
LCM(649,2071) = ( 649 × 2071 ) / 1
LCM(649,2071) = 1344079 / 1
LCM(649,2071) = 1344079
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FAQs on GCF of Fractions of 9838/649, 9770/2071
1. What is the HCF of 9838,9770?
The HCF of 9838,9770 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 9838/649, 9770/2071?
Answer: GCF of Numerators as per given numbers 9838/649, 9770/2071 is
GCF of Numerators i.e. for 9838,9770 is 2
LCM of denominators i.e. for 649,2071 is 1344079.
Thus, GCF of Fractions is 2/1344079.Finally, GCF of Fractions for 9838/649, 9770/2071 is 2/1344079.