Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 63/141,721/245,356/791
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 63,721,356
Greatest Common Factor of Numerators i.e. GCF of 63,721,356 is 1 .
LCM of Denominators means LCM of 141,245,791 as per the given fractions.
LCM of 141,245,791 is 3903585 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 63,721,356
∴ 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 721
List of positive integer factors of 721 that divides 721 without a remainder.
1,7,103,721
Factors of 356
List of positive integer factors of 356 that divides 356 without a remainder.
1,2,4,89,178,356
Greatest Common Factor
We found the factors 63,721,356 . The biggest common factor number is the GCF number.
So the greatest common factor 63,721,356 is 1.
Lets's calculate LCM of 141,245,791
7 | 141, 245, 791 |
141, 35, 113 |
∴ So the LCM of the given numbers is 7 x 141 x 35 x 113 = 3903585
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3903585
Therefore, the GCF of Fractions 63/141,721/245,356/791 is 1/3903585
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 141,245,791 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(141,245,791) = 1
common factors(in case of two or more numbers have common factors) = 7
GCF(141,245,791) x common factors =1 x 7 = 7
LCM(141,245,791) = ( 141 × 245 × 791 ) / 7
LCM(141,245,791) = 27325095 / 7
LCM(141,245,791) = 3903585
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 63/141, 721/245, 356/791?
Answer: GCF of Numerators as per given numbers 63/141, 721/245, 356/791 is
GCF of Numerators i.e. for 63,721,356 is 1
LCM of denominators i.e. for 141,245,791 is 3903585.
Thus, GCF of Fractions is 1/3903585.Finally, GCF of Fractions for 63/141, 721/245, 356/791 is 1/3903585.