GCF of 1583/979, 1710/963
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1583/979, 1710/963 i.e 1/942777 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1583/979, 1710/963.
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 1583/979,1710/963?
Given fractions are 1583/979,1710/963
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 1583/979,1710/963, numerators are 1583,1710
Denominators are 979,963
The GCF of 1583,1710 is 1 .
LCM of 979,963 is 942777.
The greatest common factor of 1583/979,1710/963 = [GCF of 1583,1710]/[LCM of 979,963]= 1/942777
Therefore, the GCF of 1583/979,1710/963 is 1/942777.
To find the highest common factor of 1583,1710, we have to find the factors of both numbers and list the highest common factor.
The factors of 1583 are 1, 1583
The factors of 1710 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 19, 30, 38, 45, 57, 90, 95, 114, 171, 190, 285, 342, 570, 855, 1710
The HCF of 1583,1710 is 1.
Lets's calculate GCF of 1583,1710
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1583,1710 By Matching Biggest Common Factor Method
Now, list down the factors of 1583
:1,1583
Now, list down the factors of 1710
:1,2,3,5,6,9,10,15,18,19,30,38,45,57,90,95,114,171,190,285,342,570,855,1710
Greatest Common Factor
We found the factors 1583,1710 . The biggest common factor number is the GCF number.
So the greatest common factor 1583,1710 is 1.
Lets's calculate LCM of 979,963
Given numbers has no common factors except 1. So, there LCM is their product i.e 942777
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/942777
Therefore, the GCF of Fractions 1583/979,1710/963 is 1/942777
Least Common Multiple of 979,963 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 979,963 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(979,963) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(979,963) x common factors =1 x 1 = 1
LCM(979,963) = ( 979 × 963 ) / 1
LCM(979,963) = 942777 / 1
LCM(979,963) = 942777
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FAQs on GCF of Fractions of 1583/979, 1710/963
1. What is the HCF of 1583,1710?
The HCF of 1583,1710 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 1583/979, 1710/963?
Answer: GCF of Numerators as per given numbers 1583/979, 1710/963 is
GCF of Numerators i.e. for 1583,1710 is 1
LCM of denominators i.e. for 979,963 is 942777.
Thus, GCF of Fractions is 1/942777.Finally, GCF of Fractions for 1583/979, 1710/963 is 1/942777.