GCF of 4727/688, 3489/6006
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4727/688, 3489/6006 i.e 1/2066064 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4727/688, 3489/6006.
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 4727/688,3489/6006?
Given fractions are 4727/688,3489/6006
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 4727/688,3489/6006, numerators are 4727,3489
Denominators are 688,6006
The GCF of 4727,3489 is 1 .
LCM of 688,6006 is 2066064.
The greatest common factor of 4727/688,3489/6006 = [GCF of 4727,3489]/[LCM of 688,6006]= 1/2066064
Therefore, the GCF of 4727/688,3489/6006 is 1/2066064.
To find the highest common factor of 4727,3489, we have to find the factors of both numbers and list the highest common factor.
The factors of 4727 are 1, 29, 163, 4727
The factors of 3489 are 1, 3, 1163, 3489
The HCF of 4727,3489 is 1.
Lets's calculate GCF of 4727,3489
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4727,3489 By Matching Biggest Common Factor Method
Now, list down the factors of 4727
:1,29,163,4727
Now, list down the factors of 3489
:1,3,1163,3489
Greatest Common Factor
We found the factors 4727,3489 . The biggest common factor number is the GCF number.
So the greatest common factor 4727,3489 is 1.
Lets's calculate LCM of 688,6006
| 2 | 688, 6006 |
| 344, 3003 |
∴ So the LCM of the given numbers is 2 x 344 x 3003 = 2066064
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2066064
Therefore, the GCF of Fractions 4727/688,3489/6006 is 1/2066064
Least Common Multiple of 688,6006 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 688,6006 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(688,6006) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(688,6006) x common factors =2 x 1 = 2
LCM(688,6006) = ( 688 × 6006 ) / 2
LCM(688,6006) = 4132128 / 2
LCM(688,6006) = 2066064
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4727/688, 3489/6006
1. What is the HCF of 4727,3489?
The HCF of 4727,3489 is 1
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 4727/688, 3489/6006?
Answer: GCF of Numerators as per given numbers 4727/688, 3489/6006 is
GCF of Numerators i.e. for 4727,3489 is 1
LCM of denominators i.e. for 688,6006 is 2066064.
Thus, GCF of Fractions is 1/2066064.Finally, GCF of Fractions for 4727/688, 3489/6006 is 1/2066064.