GCF of 815/42, 742/660
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 815/42, 742/660 i.e 1/4620 easily. The following is the detailed procedure to determine the greatest common factor of fractions 815/42, 742/660.
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 815/42,742/660?
Given fractions are 815/42,742/660
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 815/42,742/660, numerators are 815,742
Denominators are 42,660
The GCF of 815,742 is 1 .
LCM of 42,660 is 4620.
The greatest common factor of 815/42,742/660 = [GCF of 815,742]/[LCM of 42,660]= 1/4620
Therefore, the GCF of 815/42,742/660 is 1/4620.
To find the highest common factor of 815,742, we have to find the factors of both numbers and list the highest common factor.
The factors of 815 are 1, 5, 163, 815
The factors of 742 are 1, 2, 7, 14, 53, 106, 371, 742
The HCF of 815,742 is 1.
Lets's calculate GCF of 815,742
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 815,742 By Matching Biggest Common Factor Method
Now, list down the factors of 815
:1,5,163,815
Now, list down the factors of 742
:1,2,7,14,53,106,371,742
Greatest Common Factor
We found the factors 815,742 . The biggest common factor number is the GCF number.
So the greatest common factor 815,742 is 1.
Lets's calculate LCM of 42,660
| 2 | 42, 660 |
| 3 | 21, 330 |
| 7, 110 |
∴ So the LCM of the given numbers is 2 x 3 x 7 x 110 = 4620
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4620
Therefore, the GCF of Fractions 815/42,742/660 is 1/4620
Least Common Multiple of 42,660 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 42,660 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(42,660) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(42,660) x common factors =6 x 1 = 6
LCM(42,660) = ( 42 × 660 ) / 6
LCM(42,660) = 27720 / 6
LCM(42,660) = 4620
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 815/42, 742/660
1. What is the HCF of 815,742?
The HCF of 815,742 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 815/42, 742/660?
Answer: GCF of Numerators as per given numbers 815/42, 742/660 is
GCF of Numerators i.e. for 815,742 is 1
LCM of denominators i.e. for 42,660 is 4620.
Thus, GCF of Fractions is 1/4620.Finally, GCF of Fractions for 815/42, 742/660 is 1/4620.