GCF of 9660/977, 9463/903
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9660/977, 9463/903 i.e 1/882231 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9660/977, 9463/903.
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 9660/977,9463/903?
Given fractions are 9660/977,9463/903
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 9660/977,9463/903, numerators are 9660,9463
Denominators are 977,903
The GCF of 9660,9463 is 1 .
LCM of 977,903 is 882231.
The greatest common factor of 9660/977,9463/903 = [GCF of 9660,9463]/[LCM of 977,903]= 1/882231
Therefore, the GCF of 9660/977,9463/903 is 1/882231.
To find the highest common factor of 9660,9463, we have to find the factors of both numbers and list the highest common factor.
The factors of 9660 are 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 23, 28, 30, 35, 42, 46, 60, 69, 70, 84, 92, 105, 115, 138, 140, 161, 210, 230, 276, 322, 345, 420, 460, 483, 644, 690, 805, 966, 1380, 1610, 1932, 2415, 3220, 4830, 9660
The factors of 9463 are 1, 9463
The HCF of 9660,9463 is 1.
Lets's calculate GCF of 9660,9463
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9660,9463 By Matching Biggest Common Factor Method
Now, list down the factors of 9660
:1,2,3,4,5,6,7,10,12,14,15,20,21,23,28,30,35,42,46,60,69,70,84,92,105,115,138,140,161,210,230,276,322,345,420,460,483,644,690,805,966,1380,1610,1932,2415,3220,4830,9660
Now, list down the factors of 9463
:1,9463
Greatest Common Factor
We found the factors 9660,9463 . The biggest common factor number is the GCF number.
So the greatest common factor 9660,9463 is 1.
Lets's calculate LCM of 977,903
Given numbers has no common factors except 1. So, there LCM is their product i.e 882231
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/882231
Therefore, the GCF of Fractions 9660/977,9463/903 is 1/882231
Least Common Multiple of 977,903 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 977,903 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(977,903) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(977,903) x common factors =1 x 1 = 1
LCM(977,903) = ( 977 × 903 ) / 1
LCM(977,903) = 882231 / 1
LCM(977,903) = 882231
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FAQs on GCF of Fractions of 9660/977, 9463/903
1. What is the HCF of 9660,9463?
The HCF of 9660,9463 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 9660/977, 9463/903?
Answer: GCF of Numerators as per given numbers 9660/977, 9463/903 is
GCF of Numerators i.e. for 9660,9463 is 1
LCM of denominators i.e. for 977,903 is 882231.
Thus, GCF of Fractions is 1/882231.Finally, GCF of Fractions for 9660/977, 9463/903 is 1/882231.