GCF of 5950/183, 7670/9340
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5950/183, 7670/9340 i.e 10/1709220 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5950/183, 7670/9340.
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 5950/183,7670/9340?
Given fractions are 5950/183,7670/9340
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 5950/183,7670/9340, numerators are 5950,7670
Denominators are 183,9340
The GCF of 5950,7670 is 10 .
LCM of 183,9340 is 1709220.
The greatest common factor of 5950/183,7670/9340 = [GCF of 5950,7670]/[LCM of 183,9340]= 10/1709220
Therefore, the GCF of 5950/183,7670/9340 is 10/1709220.
To find the highest common factor of 5950,7670, we have to find the factors of both numbers and list the highest common factor.
The factors of 5950 are 1, 2, 5, 7, 10, 14, 17, 25, 34, 35, 50, 70, 85, 119, 170, 175, 238, 350, 425, 595, 850, 1190, 2975, 5950
The factors of 7670 are 1, 2, 5, 10, 13, 26, 59, 65, 118, 130, 295, 590, 767, 1534, 3835, 7670
The HCF of 5950,7670 is 10.
Lets's calculate GCF of 5950,7670
| 2 | 5950, 7670 |
| 5 | 2975, 3835 |
| 595, 767 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 5950,7670 By Matching Biggest Common Factor Method
Now, list down the factors of 5950
:1,2,5,7,10,14,17,25,34,35,50,70,85,119,170,175,238,350,425,595,850,1190,2975,5950
Now, list down the factors of 7670
:1,2,5,10,13,26,59,65,118,130,295,590,767,1534,3835,7670
Greatest Common Factor
We found the factors 5950,7670 . The biggest common factor number is the GCF number.
So the greatest common factor 5950,7670 is 10.
Lets's calculate LCM of 183,9340
Given numbers has no common factors except 1. So, there LCM is their product i.e 1709220
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/1709220
Therefore, the GCF of Fractions 5950/183,7670/9340 is 10/1709220
Least Common Multiple of 183,9340 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 183,9340 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(183,9340) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(183,9340) x common factors =1 x 1 = 1
LCM(183,9340) = ( 183 × 9340 ) / 1
LCM(183,9340) = 1709220 / 1
LCM(183,9340) = 1709220
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FAQs on GCF of Fractions of 5950/183, 7670/9340
1. What is the HCF of 5950,7670?
The HCF of 5950,7670 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 5950/183, 7670/9340?
Answer: GCF of Numerators as per given numbers 5950/183, 7670/9340 is
GCF of Numerators i.e. for 5950,7670 is 10
LCM of denominators i.e. for 183,9340 is 1709220.
Thus, GCF of Fractions is 10/1709220.Finally, GCF of Fractions for 5950/183, 7670/9340 is 10/1709220.