GCF of 8842/820, 3051/9970
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8842/820, 3051/9970 i.e 1/817540 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8842/820, 3051/9970.
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 8842/820,3051/9970?
Given fractions are 8842/820,3051/9970
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 8842/820,3051/9970, numerators are 8842,3051
Denominators are 820,9970
The GCF of 8842,3051 is 1 .
LCM of 820,9970 is 817540.
The greatest common factor of 8842/820,3051/9970 = [GCF of 8842,3051]/[LCM of 820,9970]= 1/817540
Therefore, the GCF of 8842/820,3051/9970 is 1/817540.
To find the highest common factor of 8842,3051, we have to find the factors of both numbers and list the highest common factor.
The factors of 8842 are 1, 2, 4421, 8842
The factors of 3051 are 1, 3, 9, 27, 113, 339, 1017, 3051
The HCF of 8842,3051 is 1.
Lets's calculate GCF of 8842,3051
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8842,3051 By Matching Biggest Common Factor Method
Now, list down the factors of 8842
:1,2,4421,8842
Now, list down the factors of 3051
:1,3,9,27,113,339,1017,3051
Greatest Common Factor
We found the factors 8842,3051 . The biggest common factor number is the GCF number.
So the greatest common factor 8842,3051 is 1.
Lets's calculate LCM of 820,9970
| 2 | 820, 9970 |
| 5 | 410, 4985 |
| 82, 997 |
∴ So the LCM of the given numbers is 2 x 5 x 82 x 997 = 817540
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/817540
Therefore, the GCF of Fractions 8842/820,3051/9970 is 1/817540
Least Common Multiple of 820,9970 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 820,9970 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(820,9970) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(820,9970) x common factors =10 x 1 = 10
LCM(820,9970) = ( 820 × 9970 ) / 10
LCM(820,9970) = 8175400 / 10
LCM(820,9970) = 817540
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FAQs on GCF of Fractions of 8842/820, 3051/9970
1. What is the HCF of 8842,3051?
The HCF of 8842,3051 is 1
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 8842/820, 3051/9970?
Answer: GCF of Numerators as per given numbers 8842/820, 3051/9970 is
GCF of Numerators i.e. for 8842,3051 is 1
LCM of denominators i.e. for 820,9970 is 817540.
Thus, GCF of Fractions is 1/817540.Finally, GCF of Fractions for 8842/820, 3051/9970 is 1/817540.