Use our free GCF of Fractions Calculator tool to compute the GCF of 781/796, 943/358 i.e 1/142484 easily. The following is the detailed procedure to determine the greatest common factor of fractions 781/796, 943/358.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 781/796,943/358
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 781/796,943/358, numerators are 781,943
Denominators are 796,358
The GCF of 781,943 is 1 .
LCM of 796,358 is 142484.
The greatest common factor of 781/796,943/358 = [GCF of 781,943]/[LCM of 796,358]= 1/142484
Therefore, the GCF of 781/796,943/358 is 1/142484.
To find the highest common factor of 781,943, we have to find the factors of both numbers and list the highest common factor.
The factors of 781 are 1, 11, 71, 781
The factors of 943 are 1, 23, 41, 943
The HCF of 781,943 is 1.
Lets's calculate GCF of 781,943
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 781
:1,11,71,781
Now, list down the factors of 943
:1,23,41,943
Greatest Common Factor
We found the factors 781,943 . The biggest common factor number is the GCF number.
So the greatest common factor 781,943 is 1.
Lets's calculate LCM of 796,358
2 | 796, 358 |
398, 179 |
∴ So the LCM of the given numbers is 2 x 398 x 179 = 142484
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/142484
Therefore, the GCF of Fractions 781/796,943/358 is 1/142484
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 796,358 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(796,358) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(796,358) x common factors =2 x 1 = 2
LCM(796,358) = ( 796 × 358 ) / 2
LCM(796,358) = 284968 / 2
LCM(796,358) = 142484
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 781,943?
The HCF of 781,943 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 781/796, 943/358?
Answer: GCF of Numerators as per given numbers 781/796, 943/358 is
GCF of Numerators i.e. for 781,943 is 1
LCM of denominators i.e. for 796,358 is 142484.
Thus, GCF of Fractions is 1/142484.Finally, GCF of Fractions for 781/796, 943/358 is 1/142484.