GCF of 7670/349, 9027/3003
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7670/349, 9027/3003 i.e 59/1048047 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7670/349, 9027/3003.
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 7670/349,9027/3003?
Given fractions are 7670/349,9027/3003
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 7670/349,9027/3003, numerators are 7670,9027
Denominators are 349,3003
The GCF of 7670,9027 is 59 .
LCM of 349,3003 is 1048047.
The greatest common factor of 7670/349,9027/3003 = [GCF of 7670,9027]/[LCM of 349,3003]= 59/1048047
Therefore, the GCF of 7670/349,9027/3003 is 59/1048047.
To find the highest common factor of 7670,9027, we have to find the factors of both numbers and list the highest common factor.
The factors of 7670 are 1, 2, 5, 10, 13, 26, 59, 65, 118, 130, 295, 590, 767, 1534, 3835, 7670
The factors of 9027 are 1, 3, 9, 17, 51, 59, 153, 177, 531, 1003, 3009, 9027
The HCF of 7670,9027 is 59.
Lets's calculate GCF of 7670,9027
| 59 | 7670, 9027 |
| 130, 153 |
∴ So the GCF of the given numbers is 59 = 59
Greatest Common Factor of 7670,9027 By Matching Biggest Common Factor Method
Now, list down the factors of 7670
:1,2,5,10,13,26,59,65,118,130,295,590,767,1534,3835,7670
Now, list down the factors of 9027
:1,3,9,17,51,59,153,177,531,1003,3009,9027
Greatest Common Factor
We found the factors 7670,9027 . The biggest common factor number is the GCF number.
So the greatest common factor 7670,9027 is 59.
Lets's calculate LCM of 349,3003
Given numbers has no common factors except 1. So, there LCM is their product i.e 1048047
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 59/1048047
Therefore, the GCF of Fractions 7670/349,9027/3003 is 59/1048047
Least Common Multiple of 349,3003 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 349,3003 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(349,3003) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(349,3003) x common factors =1 x 1 = 1
LCM(349,3003) = ( 349 × 3003 ) / 1
LCM(349,3003) = 1048047 / 1
LCM(349,3003) = 1048047
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FAQs on GCF of Fractions of 7670/349, 9027/3003
1. What is the HCF of 7670,9027?
The HCF of 7670,9027 is 59
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 7670/349, 9027/3003?
Answer: GCF of Numerators as per given numbers 7670/349, 9027/3003 is
GCF of Numerators i.e. for 7670,9027 is 59
LCM of denominators i.e. for 349,3003 is 1048047.
Thus, GCF of Fractions is 59/1048047.Finally, GCF of Fractions for 7670/349, 9027/3003 is 59/1048047.