GCF of 9670/567, 9730/6903
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9670/567, 9730/6903 i.e 10/434889 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9670/567, 9730/6903.
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 9670/567,9730/6903?
Given fractions are 9670/567,9730/6903
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 9670/567,9730/6903, numerators are 9670,9730
Denominators are 567,6903
The GCF of 9670,9730 is 10 .
LCM of 567,6903 is 434889.
The greatest common factor of 9670/567,9730/6903 = [GCF of 9670,9730]/[LCM of 567,6903]= 10/434889
Therefore, the GCF of 9670/567,9730/6903 is 10/434889.
To find the highest common factor of 9670,9730, we have to find the factors of both numbers and list the highest common factor.
The factors of 9670 are 1, 2, 5, 10, 967, 1934, 4835, 9670
The factors of 9730 are 1, 2, 5, 7, 10, 14, 35, 70, 139, 278, 695, 973, 1390, 1946, 4865, 9730
The HCF of 9670,9730 is 10.
Lets's calculate GCF of 9670,9730
| 2 | 9670, 9730 |
| 5 | 4835, 4865 |
| 967, 973 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 9670,9730 By Matching Biggest Common Factor Method
Now, list down the factors of 9670
:1,2,5,10,967,1934,4835,9670
Now, list down the factors of 9730
:1,2,5,7,10,14,35,70,139,278,695,973,1390,1946,4865,9730
Greatest Common Factor
We found the factors 9670,9730 . The biggest common factor number is the GCF number.
So the greatest common factor 9670,9730 is 10.
Lets's calculate LCM of 567,6903
| 3 | 567, 6903 |
| 3 | 189, 2301 |
| 63, 767 |
∴ So the LCM of the given numbers is 3 x 3 x 63 x 767 = 434889
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/434889
Therefore, the GCF of Fractions 9670/567,9730/6903 is 10/434889
Least Common Multiple of 567,6903 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 567,6903 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(567,6903) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(567,6903) x common factors =9 x 1 = 9
LCM(567,6903) = ( 567 × 6903 ) / 9
LCM(567,6903) = 3914001 / 9
LCM(567,6903) = 434889
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FAQs on GCF of Fractions of 9670/567, 9730/6903
1. What is the HCF of 9670,9730?
The HCF of 9670,9730 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 9670/567, 9730/6903?
Answer: GCF of Numerators as per given numbers 9670/567, 9730/6903 is
GCF of Numerators i.e. for 9670,9730 is 10
LCM of denominators i.e. for 567,6903 is 434889.
Thus, GCF of Fractions is 10/434889.Finally, GCF of Fractions for 9670/567, 9730/6903 is 10/434889.