GCF of 9822/997, 1840/6811
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9822/997, 1840/6811 i.e 2/6790567 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9822/997, 1840/6811.
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 9822/997,1840/6811?
Given fractions are 9822/997,1840/6811
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 9822/997,1840/6811, numerators are 9822,1840
Denominators are 997,6811
The GCF of 9822,1840 is 2 .
LCM of 997,6811 is 6790567.
The greatest common factor of 9822/997,1840/6811 = [GCF of 9822,1840]/[LCM of 997,6811]= 2/6790567
Therefore, the GCF of 9822/997,1840/6811 is 2/6790567.
To find the highest common factor of 9822,1840, we have to find the factors of both numbers and list the highest common factor.
The factors of 9822 are 1, 2, 3, 6, 1637, 3274, 4911, 9822
The factors of 1840 are 1, 2, 4, 5, 8, 10, 16, 20, 23, 40, 46, 80, 92, 115, 184, 230, 368, 460, 920, 1840
The HCF of 9822,1840 is 2.
Lets's calculate GCF of 9822,1840
| 2 | 9822, 1840 |
| 4911, 920 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9822,1840 By Matching Biggest Common Factor Method
Now, list down the factors of 9822
:1,2,3,6,1637,3274,4911,9822
Now, list down the factors of 1840
:1,2,4,5,8,10,16,20,23,40,46,80,92,115,184,230,368,460,920,1840
Greatest Common Factor
We found the factors 9822,1840 . The biggest common factor number is the GCF number.
So the greatest common factor 9822,1840 is 2.
Lets's calculate LCM of 997,6811
Given numbers has no common factors except 1. So, there LCM is their product i.e 6790567
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6790567
Therefore, the GCF of Fractions 9822/997,1840/6811 is 2/6790567
Least Common Multiple of 997,6811 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 997,6811 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(997,6811) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(997,6811) x common factors =1 x 1 = 1
LCM(997,6811) = ( 997 × 6811 ) / 1
LCM(997,6811) = 6790567 / 1
LCM(997,6811) = 6790567
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FAQs on GCF of Fractions of 9822/997, 1840/6811
1. What is the HCF of 9822,1840?
The HCF of 9822,1840 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 9822/997, 1840/6811?
Answer: GCF of Numerators as per given numbers 9822/997, 1840/6811 is
GCF of Numerators i.e. for 9822,1840 is 2
LCM of denominators i.e. for 997,6811 is 6790567.
Thus, GCF of Fractions is 2/6790567.Finally, GCF of Fractions for 9822/997, 1840/6811 is 2/6790567.