GCF of 9677/974, 9660/2379
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9677/974, 9660/2379 i.e 1/2317146 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9677/974, 9660/2379.
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 9677/974,9660/2379?
Given fractions are 9677/974,9660/2379
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 9677/974,9660/2379, numerators are 9677,9660
Denominators are 974,2379
The GCF of 9677,9660 is 1 .
LCM of 974,2379 is 2317146.
The greatest common factor of 9677/974,9660/2379 = [GCF of 9677,9660]/[LCM of 974,2379]= 1/2317146
Therefore, the GCF of 9677/974,9660/2379 is 1/2317146.
To find the highest common factor of 9677,9660, we have to find the factors of both numbers and list the highest common factor.
The factors of 9677 are 1, 9677
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 HCF of 9677,9660 is 1.
Lets's calculate GCF of 9677,9660
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9677,9660 By Matching Biggest Common Factor Method
Now, list down the factors of 9677
:1,9677
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
Greatest Common Factor
We found the factors 9677,9660 . The biggest common factor number is the GCF number.
So the greatest common factor 9677,9660 is 1.
Lets's calculate LCM of 974,2379
Given numbers has no common factors except 1. So, there LCM is their product i.e 2317146
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2317146
Therefore, the GCF of Fractions 9677/974,9660/2379 is 1/2317146
Least Common Multiple of 974,2379 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 974,2379 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(974,2379) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(974,2379) x common factors =1 x 1 = 1
LCM(974,2379) = ( 974 × 2379 ) / 1
LCM(974,2379) = 2317146 / 1
LCM(974,2379) = 2317146
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FAQs on GCF of Fractions of 9677/974, 9660/2379
1. What is the HCF of 9677,9660?
The HCF of 9677,9660 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 9677/974, 9660/2379?
Answer: GCF of Numerators as per given numbers 9677/974, 9660/2379 is
GCF of Numerators i.e. for 9677,9660 is 1
LCM of denominators i.e. for 974,2379 is 2317146.
Thus, GCF of Fractions is 1/2317146.Finally, GCF of Fractions for 9677/974, 9660/2379 is 1/2317146.