Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 42/912,602/162,907/518
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 42,602,907
Greatest Common Factor of Numerators i.e. GCF of 42,602,907 is 1 .
LCM of Denominators means LCM of 912,162,518 as per the given fractions.
LCM of 912,162,518 is 6377616 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 42,602,907
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 42
List of positive integer factors of 42 that divides 42 without a remainder.
1,2,3,6,7,14,21,42
Factors of 602
List of positive integer factors of 602 that divides 602 without a remainder.
1,2,7,14,43,86,301,602
Factors of 907
List of positive integer factors of 907 that divides 907 without a remainder.
1,907
Greatest Common Factor
We found the factors 42,602,907 . The biggest common factor number is the GCF number.
So the greatest common factor 42,602,907 is 1.
Lets's calculate LCM of 912,162,518
2 | 912, 162, 518 |
3 | 456, 81, 259 |
152, 27, 259 |
∴ So the LCM of the given numbers is 2 x 3 x 152 x 27 x 259 = 6377616
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6377616
Therefore, the GCF of Fractions 42/912,602/162,907/518 is 1/6377616
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 912,162,518 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(912,162,518) = 2
common factors(in case of two or more numbers have common factors) = 6
GCF(912,162,518) x common factors =2 x 6 = 12
LCM(912,162,518) = ( 912 × 162 × 518 ) / 12
LCM(912,162,518) = 76531392 / 12
LCM(912,162,518) = 6377616
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 42/912, 602/162, 907/518?
Answer: GCF of Numerators as per given numbers 42/912, 602/162, 907/518 is
GCF of Numerators i.e. for 42,602,907 is 1
LCM of denominators i.e. for 912,162,518 is 6377616.
Thus, GCF of Fractions is 1/6377616.Finally, GCF of Fractions for 42/912, 602/162, 907/518 is 1/6377616.