Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 63/834,79/370,561/682
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 63,79,561
Greatest Common Factor of Numerators i.e. GCF of 63,79,561 is 1 .
LCM of Denominators means LCM of 834,370,682 as per the given fractions.
LCM of 834,370,682 is 52612890 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 63,79,561
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 63
List of positive integer factors of 63 that divides 63 without a remainder.
1,3,7,9,21,63
Factors of 79
List of positive integer factors of 79 that divides 79 without a remainder.
1,79
Factors of 561
List of positive integer factors of 561 that divides 561 without a remainder.
1,3,11,17,33,51,187,561
Greatest Common Factor
We found the factors 63,79,561 . The biggest common factor number is the GCF number.
So the greatest common factor 63,79,561 is 1.
Lets's calculate LCM of 834,370,682
2 | 834, 370, 682 |
417, 185, 341 |
∴ So the LCM of the given numbers is 2 x 417 x 185 x 341 = 52612890
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/52612890
Therefore, the GCF of Fractions 63/834,79/370,561/682 is 1/52612890
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 834,370,682 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(834,370,682) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(834,370,682) x common factors =2 x 2 = 4
LCM(834,370,682) = ( 834 × 370 × 682 ) / 4
LCM(834,370,682) = 210451560 / 4
LCM(834,370,682) = 52612890
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. 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.
2. What is the GCF of Fractions for 63/834, 79/370, 561/682?
Answer: GCF of Numerators as per given numbers 63/834, 79/370, 561/682 is
GCF of Numerators i.e. for 63,79,561 is 1
LCM of denominators i.e. for 834,370,682 is 52612890.
Thus, GCF of Fractions is 1/52612890.Finally, GCF of Fractions for 63/834, 79/370, 561/682 is 1/52612890.