GCF of 1763/718, 4715/4966
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1763/718, 4715/4966 i.e 41/1782794 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1763/718, 4715/4966.
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 1763/718,4715/4966?
Given fractions are 1763/718,4715/4966
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 1763/718,4715/4966, numerators are 1763,4715
Denominators are 718,4966
The GCF of 1763,4715 is 41 .
LCM of 718,4966 is 1782794.
The greatest common factor of 1763/718,4715/4966 = [GCF of 1763,4715]/[LCM of 718,4966]= 41/1782794
Therefore, the GCF of 1763/718,4715/4966 is 41/1782794.
To find the highest common factor of 1763,4715, we have to find the factors of both numbers and list the highest common factor.
The factors of 1763 are 1, 41, 43, 1763
The factors of 4715 are 1, 5, 23, 41, 115, 205, 943, 4715
The HCF of 1763,4715 is 41.
Lets's calculate GCF of 1763,4715
| 41 | 1763, 4715 |
| 43, 115 |
∴ So the GCF of the given numbers is 41 = 41
Greatest Common Factor of 1763,4715 By Matching Biggest Common Factor Method
Now, list down the factors of 1763
:1,41,43,1763
Now, list down the factors of 4715
:1,5,23,41,115,205,943,4715
Greatest Common Factor
We found the factors 1763,4715 . The biggest common factor number is the GCF number.
So the greatest common factor 1763,4715 is 41.
Lets's calculate LCM of 718,4966
| 2 | 718, 4966 |
| 359, 2483 |
∴ So the LCM of the given numbers is 2 x 359 x 2483 = 1782794
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 41/1782794
Therefore, the GCF of Fractions 1763/718,4715/4966 is 41/1782794
Least Common Multiple of 718,4966 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 718,4966 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(718,4966) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(718,4966) x common factors =2 x 1 = 2
LCM(718,4966) = ( 718 × 4966 ) / 2
LCM(718,4966) = 3565588 / 2
LCM(718,4966) = 1782794
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1763/718, 4715/4966
1. What is the HCF of 1763,4715?
The HCF of 1763,4715 is 41
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 1763/718, 4715/4966?
Answer: GCF of Numerators as per given numbers 1763/718, 4715/4966 is
GCF of Numerators i.e. for 1763,4715 is 41
LCM of denominators i.e. for 718,4966 is 1782794.
Thus, GCF of Fractions is 41/1782794.Finally, GCF of Fractions for 1763/718, 4715/4966 is 41/1782794.