GCF of 7014/470, 4700/3649
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7014/470, 4700/3649 i.e 2/1715030 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7014/470, 4700/3649.
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 7014/470,4700/3649?
Given fractions are 7014/470,4700/3649
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 7014/470,4700/3649, numerators are 7014,4700
Denominators are 470,3649
The GCF of 7014,4700 is 2 .
LCM of 470,3649 is 1715030.
The greatest common factor of 7014/470,4700/3649 = [GCF of 7014,4700]/[LCM of 470,3649]= 2/1715030
Therefore, the GCF of 7014/470,4700/3649 is 2/1715030.
To find the highest common factor of 7014,4700, we have to find the factors of both numbers and list the highest common factor.
The factors of 7014 are 1, 2, 3, 6, 7, 14, 21, 42, 167, 334, 501, 1002, 1169, 2338, 3507, 7014
The factors of 4700 are 1, 2, 4, 5, 10, 20, 25, 47, 50, 94, 100, 188, 235, 470, 940, 1175, 2350, 4700
The HCF of 7014,4700 is 2.
Lets's calculate GCF of 7014,4700
| 2 | 7014, 4700 |
| 3507, 2350 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7014,4700 By Matching Biggest Common Factor Method
Now, list down the factors of 7014
:1,2,3,6,7,14,21,42,167,334,501,1002,1169,2338,3507,7014
Now, list down the factors of 4700
:1,2,4,5,10,20,25,47,50,94,100,188,235,470,940,1175,2350,4700
Greatest Common Factor
We found the factors 7014,4700 . The biggest common factor number is the GCF number.
So the greatest common factor 7014,4700 is 2.
Lets's calculate LCM of 470,3649
Given numbers has no common factors except 1. So, there LCM is their product i.e 1715030
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1715030
Therefore, the GCF of Fractions 7014/470,4700/3649 is 2/1715030
Least Common Multiple of 470,3649 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 470,3649 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(470,3649) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(470,3649) x common factors =1 x 1 = 1
LCM(470,3649) = ( 470 × 3649 ) / 1
LCM(470,3649) = 1715030 / 1
LCM(470,3649) = 1715030
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FAQs on GCF of Fractions of 7014/470, 4700/3649
1. What is the HCF of 7014,4700?
The HCF of 7014,4700 is 2
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 7014/470, 4700/3649?
Answer: GCF of Numerators as per given numbers 7014/470, 4700/3649 is
GCF of Numerators i.e. for 7014,4700 is 2
LCM of denominators i.e. for 470,3649 is 1715030.
Thus, GCF of Fractions is 2/1715030.Finally, GCF of Fractions for 7014/470, 4700/3649 is 2/1715030.