GCF of 2147/989, 9982/7431
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2147/989, 9982/7431 i.e 1/7349259 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2147/989, 9982/7431.
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 2147/989,9982/7431?
Given fractions are 2147/989,9982/7431
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 2147/989,9982/7431, numerators are 2147,9982
Denominators are 989,7431
The GCF of 2147,9982 is 1 .
LCM of 989,7431 is 7349259.
The greatest common factor of 2147/989,9982/7431 = [GCF of 2147,9982]/[LCM of 989,7431]= 1/7349259
Therefore, the GCF of 2147/989,9982/7431 is 1/7349259.
To find the highest common factor of 2147,9982, we have to find the factors of both numbers and list the highest common factor.
The factors of 2147 are 1, 19, 113, 2147
The factors of 9982 are 1, 2, 7, 14, 23, 31, 46, 62, 161, 217, 322, 434, 713, 1426, 4991, 9982
The HCF of 2147,9982 is 1.
Lets's calculate GCF of 2147,9982
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2147,9982 By Matching Biggest Common Factor Method
Now, list down the factors of 2147
:1,19,113,2147
Now, list down the factors of 9982
:1,2,7,14,23,31,46,62,161,217,322,434,713,1426,4991,9982
Greatest Common Factor
We found the factors 2147,9982 . The biggest common factor number is the GCF number.
So the greatest common factor 2147,9982 is 1.
Lets's calculate LCM of 989,7431
Given numbers has no common factors except 1. So, there LCM is their product i.e 7349259
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7349259
Therefore, the GCF of Fractions 2147/989,9982/7431 is 1/7349259
Least Common Multiple of 989,7431 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 989,7431 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(989,7431) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(989,7431) x common factors =1 x 1 = 1
LCM(989,7431) = ( 989 × 7431 ) / 1
LCM(989,7431) = 7349259 / 1
LCM(989,7431) = 7349259
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FAQs on GCF of Fractions of 2147/989, 9982/7431
1. What is the HCF of 2147,9982?
The HCF of 2147,9982 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 2147/989, 9982/7431?
Answer: GCF of Numerators as per given numbers 2147/989, 9982/7431 is
GCF of Numerators i.e. for 2147,9982 is 1
LCM of denominators i.e. for 989,7431 is 7349259.
Thus, GCF of Fractions is 1/7349259.Finally, GCF of Fractions for 2147/989, 9982/7431 is 1/7349259.