Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 137/42,545/55,832/526
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 137,545,832
Greatest Common Factor of Numerators i.e. GCF of 137,545,832 is 1 .
LCM of Denominators means LCM of 42,55,526 as per the given fractions.
LCM of 42,55,526 is 607530 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 137,545,832
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 137
List of positive integer factors of 137 that divides 137 without a remainder.
1,137
Factors of 545
List of positive integer factors of 545 that divides 545 without a remainder.
1,5,109,545
Factors of 832
List of positive integer factors of 832 that divides 832 without a remainder.
1,2,4,8,13,16,26,32,52,64,104,208,416,832
Greatest Common Factor
We found the factors 137,545,832 . The biggest common factor number is the GCF number.
So the greatest common factor 137,545,832 is 1.
Lets's calculate LCM of 42,55,526
2 | 42, 55, 526 |
21, 55, 263 |
∴ So the LCM of the given numbers is 2 x 21 x 55 x 263 = 607530
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/607530
Therefore, the GCF of Fractions 137/42,545/55,832/526 is 1/607530
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 42,55,526 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(42,55,526) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(42,55,526) x common factors =1 x 2 = 2
LCM(42,55,526) = ( 42 × 55 × 526 ) / 2
LCM(42,55,526) = 1215060 / 2
LCM(42,55,526) = 607530
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 137/42, 545/55, 832/526?
Answer: GCF of Numerators as per given numbers 137/42, 545/55, 832/526 is
GCF of Numerators i.e. for 137,545,832 is 1
LCM of denominators i.e. for 42,55,526 is 607530.
Thus, GCF of Fractions is 1/607530.Finally, GCF of Fractions for 137/42, 545/55, 832/526 is 1/607530.