Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2/49,95/46,74/714,381/905
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 2,95,74,381
Greatest Common Factor of Numerators i.e. GCF of 2,95,74,381 is 1 .
LCM of Denominators means LCM of 49,46,714,905 as per the given fractions.
LCM of 49,46,714,905 is 104033370 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2,95,74,381
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2
List of positive integer factors of 2 that divides 2 without a remainder.
1,2
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1,5,19,95
Factors of 74
List of positive integer factors of 74 that divides 74 without a remainder.
1,2,37,74
Factors of 381
List of positive integer factors of 381 that divides 381 without a remainder.
1,3,127,381
Greatest Common Factor
We found the factors 2,95,74,381 . The biggest common factor number is the GCF number.
So the greatest common factor 2,95,74,381 is 1.
Lets's calculate LCM of 49,46,714,905
2 | 49, 46, 714, 905 |
7 | 49, 23, 357, 905 |
7, 23, 51, 905 |
∴ So the LCM of the given numbers is 2 x 7 x 7 x 23 x 51 x 905 = 104033370
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/104033370
Therefore, the GCF of Fractions 2/49,95/46,74/714,381/905 is 1/104033370
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 49,46,714,905 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(49,46,714,905) = 1
common factors(in case of two or more numbers have common factors) = 14
GCF(49,46,714,905) x common factors =1 x 14 = 14
LCM(49,46,714,905) = ( 49 × 46 × 714 × 905 ) / 14
LCM(49,46,714,905) = 1456467180 / 14
LCM(49,46,714,905) = 104033370
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 2/49, 95/46, 74/714, 381/905?
Answer: GCF of Numerators as per given numbers 2/49, 95/46, 74/714, 381/905 is
GCF of Numerators i.e. for 2,95,74,381 is 1
LCM of denominators i.e. for 49,46,714,905 is 104033370.
Thus, GCF of Fractions is 1/104033370.Finally, GCF of Fractions for 2/49, 95/46, 74/714, 381/905 is 1/104033370.