GCF of 9630/769, 8470/201
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9630/769, 8470/201 i.e 10/154569 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9630/769, 8470/201.
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 9630/769,8470/201?
Given fractions are 9630/769,8470/201
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 9630/769,8470/201, numerators are 9630,8470
Denominators are 769,201
The GCF of 9630,8470 is 10 .
LCM of 769,201 is 154569.
The greatest common factor of 9630/769,8470/201 = [GCF of 9630,8470]/[LCM of 769,201]= 10/154569
Therefore, the GCF of 9630/769,8470/201 is 10/154569.
To find the highest common factor of 9630,8470, we have to find the factors of both numbers and list the highest common factor.
The factors of 9630 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 107, 214, 321, 535, 642, 963, 1070, 1605, 1926, 3210, 4815, 9630
The factors of 8470 are 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 121, 154, 242, 385, 605, 770, 847, 1210, 1694, 4235, 8470
The HCF of 9630,8470 is 10.
Lets's calculate GCF of 9630,8470
| 2 | 9630, 8470 |
| 5 | 4815, 4235 |
| 963, 847 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 9630,8470 By Matching Biggest Common Factor Method
Now, list down the factors of 9630
:1,2,3,5,6,9,10,15,18,30,45,90,107,214,321,535,642,963,1070,1605,1926,3210,4815,9630
Now, list down the factors of 8470
:1,2,5,7,10,11,14,22,35,55,70,77,110,121,154,242,385,605,770,847,1210,1694,4235,8470
Greatest Common Factor
We found the factors 9630,8470 . The biggest common factor number is the GCF number.
So the greatest common factor 9630,8470 is 10.
Lets's calculate LCM of 769,201
Given numbers has no common factors except 1. So, there LCM is their product i.e 154569
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/154569
Therefore, the GCF of Fractions 9630/769,8470/201 is 10/154569
Least Common Multiple of 769,201 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 769,201 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(769,201) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(769,201) x common factors =1 x 1 = 1
LCM(769,201) = ( 769 × 201 ) / 1
LCM(769,201) = 154569 / 1
LCM(769,201) = 154569
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FAQs on GCF of Fractions of 9630/769, 8470/201
1. What is the HCF of 9630,8470?
The HCF of 9630,8470 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 9630/769, 8470/201?
Answer: GCF of Numerators as per given numbers 9630/769, 8470/201 is
GCF of Numerators i.e. for 9630,8470 is 10
LCM of denominators i.e. for 769,201 is 154569.
Thus, GCF of Fractions is 10/154569.Finally, GCF of Fractions for 9630/769, 8470/201 is 10/154569.