GCF of 9679/599, 3982/798
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9679/599, 3982/798 i.e 1/478002 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9679/599, 3982/798.
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 9679/599,3982/798?
Given fractions are 9679/599,3982/798
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 9679/599,3982/798, numerators are 9679,3982
Denominators are 599,798
The GCF of 9679,3982 is 1 .
LCM of 599,798 is 478002.
The greatest common factor of 9679/599,3982/798 = [GCF of 9679,3982]/[LCM of 599,798]= 1/478002
Therefore, the GCF of 9679/599,3982/798 is 1/478002.
To find the highest common factor of 9679,3982, we have to find the factors of both numbers and list the highest common factor.
The factors of 9679 are 1, 9679
The factors of 3982 are 1, 2, 11, 22, 181, 362, 1991, 3982
The HCF of 9679,3982 is 1.
Lets's calculate GCF of 9679,3982
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9679,3982 By Matching Biggest Common Factor Method
Now, list down the factors of 9679
:1,9679
Now, list down the factors of 3982
:1,2,11,22,181,362,1991,3982
Greatest Common Factor
We found the factors 9679,3982 . The biggest common factor number is the GCF number.
So the greatest common factor 9679,3982 is 1.
Lets's calculate LCM of 599,798
Given numbers has no common factors except 1. So, there LCM is their product i.e 478002
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/478002
Therefore, the GCF of Fractions 9679/599,3982/798 is 1/478002
Least Common Multiple of 599,798 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 599,798 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(599,798) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(599,798) x common factors =1 x 1 = 1
LCM(599,798) = ( 599 × 798 ) / 1
LCM(599,798) = 478002 / 1
LCM(599,798) = 478002
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FAQs on GCF of Fractions of 9679/599, 3982/798
1. What is the HCF of 9679,3982?
The HCF of 9679,3982 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 9679/599, 3982/798?
Answer: GCF of Numerators as per given numbers 9679/599, 3982/798 is
GCF of Numerators i.e. for 9679,3982 is 1
LCM of denominators i.e. for 599,798 is 478002.
Thus, GCF of Fractions is 1/478002.Finally, GCF of Fractions for 9679/599, 3982/798 is 1/478002.