Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 541/621,122/719,509/437
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 541,122,509
Greatest Common Factor of Numerators i.e. GCF of 541,122,509 is 1 .
LCM of Denominators means LCM of 621,719,437 as per the given fractions.
LCM of 621,719,437 is 8483481 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 541,122,509
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 541
List of positive integer factors of 541 that divides 541 without a remainder.
1,541
Factors of 122
List of positive integer factors of 122 that divides 122 without a remainder.
1,2,61,122
Factors of 509
List of positive integer factors of 509 that divides 509 without a remainder.
1,509
Greatest Common Factor
We found the factors 541,122,509 . The biggest common factor number is the GCF number.
So the greatest common factor 541,122,509 is 1.
Lets's calculate LCM of 621,719,437
23 | 621, 719, 437 |
27, 719, 19 |
∴ So the LCM of the given numbers is 23 x 27 x 719 x 19 = 8483481
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8483481
Therefore, the GCF of Fractions 541/621,122/719,509/437 is 1/8483481
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 621,719,437 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(621,719,437) = 1
common factors(in case of two or more numbers have common factors) = 23
GCF(621,719,437) x common factors =1 x 23 = 23
LCM(621,719,437) = ( 621 × 719 × 437 ) / 23
LCM(621,719,437) = 195120063 / 23
LCM(621,719,437) = 8483481
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 541/621, 122/719, 509/437?
Answer: GCF of Numerators as per given numbers 541/621, 122/719, 509/437 is
GCF of Numerators i.e. for 541,122,509 is 1
LCM of denominators i.e. for 621,719,437 is 8483481.
Thus, GCF of Fractions is 1/8483481.Finally, GCF of Fractions for 541/621, 122/719, 509/437 is 1/8483481.