GCF of 9876/446, 1082/9406
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9876/446, 1082/9406 i.e 2/2097538 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9876/446, 1082/9406.
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 9876/446,1082/9406?
Given fractions are 9876/446,1082/9406
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 9876/446,1082/9406, numerators are 9876,1082
Denominators are 446,9406
The GCF of 9876,1082 is 2 .
LCM of 446,9406 is 2097538.
The greatest common factor of 9876/446,1082/9406 = [GCF of 9876,1082]/[LCM of 446,9406]= 2/2097538
Therefore, the GCF of 9876/446,1082/9406 is 2/2097538.
To find the highest common factor of 9876,1082, we have to find the factors of both numbers and list the highest common factor.
The factors of 9876 are 1, 2, 3, 4, 6, 12, 823, 1646, 2469, 3292, 4938, 9876
The factors of 1082 are 1, 2, 541, 1082
The HCF of 9876,1082 is 2.
Lets's calculate GCF of 9876,1082
| 2 | 9876, 1082 |
| 4938, 541 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9876,1082 By Matching Biggest Common Factor Method
Now, list down the factors of 9876
:1,2,3,4,6,12,823,1646,2469,3292,4938,9876
Now, list down the factors of 1082
:1,2,541,1082
Greatest Common Factor
We found the factors 9876,1082 . The biggest common factor number is the GCF number.
So the greatest common factor 9876,1082 is 2.
Lets's calculate LCM of 446,9406
| 2 | 446, 9406 |
| 223, 4703 |
∴ So the LCM of the given numbers is 2 x 223 x 4703 = 2097538
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2097538
Therefore, the GCF of Fractions 9876/446,1082/9406 is 2/2097538
Least Common Multiple of 446,9406 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 446,9406 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(446,9406) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(446,9406) x common factors =2 x 1 = 2
LCM(446,9406) = ( 446 × 9406 ) / 2
LCM(446,9406) = 4195076 / 2
LCM(446,9406) = 2097538
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FAQs on GCF of Fractions of 9876/446, 1082/9406
1. What is the HCF of 9876,1082?
The HCF of 9876,1082 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 9876/446, 1082/9406?
Answer: GCF of Numerators as per given numbers 9876/446, 1082/9406 is
GCF of Numerators i.e. for 9876,1082 is 2
LCM of denominators i.e. for 446,9406 is 2097538.
Thus, GCF of Fractions is 2/2097538.Finally, GCF of Fractions for 9876/446, 1082/9406 is 2/2097538.