GCF of 9660/947, 9370/7676
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9660/947, 9370/7676 i.e 10/7269172 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9660/947, 9370/7676.
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 9660/947,9370/7676?
Given fractions are 9660/947,9370/7676
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 9660/947,9370/7676, numerators are 9660,9370
Denominators are 947,7676
The GCF of 9660,9370 is 10 .
LCM of 947,7676 is 7269172.
The greatest common factor of 9660/947,9370/7676 = [GCF of 9660,9370]/[LCM of 947,7676]= 10/7269172
Therefore, the GCF of 9660/947,9370/7676 is 10/7269172.
To find the highest common factor of 9660,9370, 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 9370 are 1, 2, 5, 10, 937, 1874, 4685, 9370
The HCF of 9660,9370 is 10.
Lets's calculate GCF of 9660,9370
| 2 | 9660, 9370 |
| 5 | 4830, 4685 |
| 966, 937 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 9660,9370 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 9370
:1,2,5,10,937,1874,4685,9370
Greatest Common Factor
We found the factors 9660,9370 . The biggest common factor number is the GCF number.
So the greatest common factor 9660,9370 is 10.
Lets's calculate LCM of 947,7676
Given numbers has no common factors except 1. So, there LCM is their product i.e 7269172
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/7269172
Therefore, the GCF of Fractions 9660/947,9370/7676 is 10/7269172
Least Common Multiple of 947,7676 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 947,7676 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(947,7676) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(947,7676) x common factors =1 x 1 = 1
LCM(947,7676) = ( 947 × 7676 ) / 1
LCM(947,7676) = 7269172 / 1
LCM(947,7676) = 7269172
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 9660/947, 9370/7676
1. What is the HCF of 9660,9370?
The HCF of 9660,9370 is 10
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 9660/947, 9370/7676?
Answer: GCF of Numerators as per given numbers 9660/947, 9370/7676 is
GCF of Numerators i.e. for 9660,9370 is 10
LCM of denominators i.e. for 947,7676 is 7269172.
Thus, GCF of Fractions is 10/7269172.Finally, GCF of Fractions for 9660/947, 9370/7676 is 10/7269172.