GCF of 4700/687, 4614/706
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4700/687, 4614/706 i.e 2/485022 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4700/687, 4614/706.
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 4700/687,4614/706?
Given fractions are 4700/687,4614/706
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 4700/687,4614/706, numerators are 4700,4614
Denominators are 687,706
The GCF of 4700,4614 is 2 .
LCM of 687,706 is 485022.
The greatest common factor of 4700/687,4614/706 = [GCF of 4700,4614]/[LCM of 687,706]= 2/485022
Therefore, the GCF of 4700/687,4614/706 is 2/485022.
To find the highest common factor of 4700,4614, we have to find the factors of both numbers and list the highest common factor.
The factors of 4700 are 1, 2, 4, 5, 10, 20, 25, 47, 50, 94, 100, 188, 235, 470, 940, 1175, 2350, 4700
The factors of 4614 are 1, 2, 3, 6, 769, 1538, 2307, 4614
The HCF of 4700,4614 is 2.
Lets's calculate GCF of 4700,4614
| 2 | 4700, 4614 |
| 2350, 2307 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4700,4614 By Matching Biggest Common Factor Method
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
Now, list down the factors of 4614
:1,2,3,6,769,1538,2307,4614
Greatest Common Factor
We found the factors 4700,4614 . The biggest common factor number is the GCF number.
So the greatest common factor 4700,4614 is 2.
Lets's calculate LCM of 687,706
Given numbers has no common factors except 1. So, there LCM is their product i.e 485022
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/485022
Therefore, the GCF of Fractions 4700/687,4614/706 is 2/485022
Least Common Multiple of 687,706 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 687,706 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(687,706) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(687,706) x common factors =1 x 1 = 1
LCM(687,706) = ( 687 × 706 ) / 1
LCM(687,706) = 485022 / 1
LCM(687,706) = 485022
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FAQs on GCF of Fractions of 4700/687, 4614/706
1. What is the HCF of 4700,4614?
The HCF of 4700,4614 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 4700/687, 4614/706?
Answer: GCF of Numerators as per given numbers 4700/687, 4614/706 is
GCF of Numerators i.e. for 4700,4614 is 2
LCM of denominators i.e. for 687,706 is 485022.
Thus, GCF of Fractions is 2/485022.Finally, GCF of Fractions for 4700/687, 4614/706 is 2/485022.