GCF of 4397/406, 9989/5276
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4397/406, 9989/5276 i.e 1/1071028 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4397/406, 9989/5276.
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 4397/406,9989/5276?
Given fractions are 4397/406,9989/5276
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 4397/406,9989/5276, numerators are 4397,9989
Denominators are 406,5276
The GCF of 4397,9989 is 1 .
LCM of 406,5276 is 1071028.
The greatest common factor of 4397/406,9989/5276 = [GCF of 4397,9989]/[LCM of 406,5276]= 1/1071028
Therefore, the GCF of 4397/406,9989/5276 is 1/1071028.
To find the highest common factor of 4397,9989, we have to find the factors of both numbers and list the highest common factor.
The factors of 4397 are 1, 4397
The factors of 9989 are 1, 7, 1427, 9989
The HCF of 4397,9989 is 1.
Lets's calculate GCF of 4397,9989
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4397,9989 By Matching Biggest Common Factor Method
Now, list down the factors of 4397
:1,4397
Now, list down the factors of 9989
:1,7,1427,9989
Greatest Common Factor
We found the factors 4397,9989 . The biggest common factor number is the GCF number.
So the greatest common factor 4397,9989 is 1.
Lets's calculate LCM of 406,5276
| 2 | 406, 5276 |
| 203, 2638 |
∴ So the LCM of the given numbers is 2 x 203 x 2638 = 1071028
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1071028
Therefore, the GCF of Fractions 4397/406,9989/5276 is 1/1071028
Least Common Multiple of 406,5276 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 406,5276 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(406,5276) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(406,5276) x common factors =2 x 1 = 2
LCM(406,5276) = ( 406 × 5276 ) / 2
LCM(406,5276) = 2142056 / 2
LCM(406,5276) = 1071028
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FAQs on GCF of Fractions of 4397/406, 9989/5276
1. What is the HCF of 4397,9989?
The HCF of 4397,9989 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 4397/406, 9989/5276?
Answer: GCF of Numerators as per given numbers 4397/406, 9989/5276 is
GCF of Numerators i.e. for 4397,9989 is 1
LCM of denominators i.e. for 406,5276 is 1071028.
Thus, GCF of Fractions is 1/1071028.Finally, GCF of Fractions for 4397/406, 9989/5276 is 1/1071028.