GCF of 9670/382, 3475/137
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9670/382, 3475/137 i.e 5/52334 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9670/382, 3475/137.
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 9670/382,3475/137?
Given fractions are 9670/382,3475/137
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 9670/382,3475/137, numerators are 9670,3475
Denominators are 382,137
The GCF of 9670,3475 is 5 .
LCM of 382,137 is 52334.
The greatest common factor of 9670/382,3475/137 = [GCF of 9670,3475]/[LCM of 382,137]= 5/52334
Therefore, the GCF of 9670/382,3475/137 is 5/52334.
To find the highest common factor of 9670,3475, 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 3475 are 1, 5, 25, 139, 695, 3475
The HCF of 9670,3475 is 5.
Lets's calculate GCF of 9670,3475
| 5 | 9670, 3475 |
| 1934, 695 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 9670,3475 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 3475
:1,5,25,139,695,3475
Greatest Common Factor
We found the factors 9670,3475 . The biggest common factor number is the GCF number.
So the greatest common factor 9670,3475 is 5.
Lets's calculate LCM of 382,137
Given numbers has no common factors except 1. So, there LCM is their product i.e 52334
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/52334
Therefore, the GCF of Fractions 9670/382,3475/137 is 5/52334
Least Common Multiple of 382,137 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 382,137 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(382,137) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(382,137) x common factors =1 x 1 = 1
LCM(382,137) = ( 382 × 137 ) / 1
LCM(382,137) = 52334 / 1
LCM(382,137) = 52334
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FAQs on GCF of Fractions of 9670/382, 3475/137
1. What is the HCF of 9670,3475?
The HCF of 9670,3475 is 5
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 9670/382, 3475/137?
Answer: GCF of Numerators as per given numbers 9670/382, 3475/137 is
GCF of Numerators i.e. for 9670,3475 is 5
LCM of denominators i.e. for 382,137 is 52334.
Thus, GCF of Fractions is 5/52334.Finally, GCF of Fractions for 9670/382, 3475/137 is 5/52334.