Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 51/557,280/908,313/746
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 51,280,313
Greatest Common Factor of Numerators i.e. GCF of 51,280,313 is 1 .
LCM of Denominators means LCM of 557,908,746 as per the given fractions.
LCM of 557,908,746 is 188646988 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 51,280,313
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 51
List of positive integer factors of 51 that divides 51 without a remainder.
1,3,17,51
Factors of 280
List of positive integer factors of 280 that divides 280 without a remainder.
1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280
Factors of 313
List of positive integer factors of 313 that divides 313 without a remainder.
1,313
Greatest Common Factor
We found the factors 51,280,313 . The biggest common factor number is the GCF number.
So the greatest common factor 51,280,313 is 1.
Lets's calculate LCM of 557,908,746
2 | 557, 908, 746 |
557, 454, 373 |
∴ So the LCM of the given numbers is 2 x 557 x 454 x 373 = 188646988
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/188646988
Therefore, the GCF of Fractions 51/557,280/908,313/746 is 1/188646988
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 557,908,746 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(557,908,746) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(557,908,746) x common factors =1 x 2 = 2
LCM(557,908,746) = ( 557 × 908 × 746 ) / 2
LCM(557,908,746) = 377293976 / 2
LCM(557,908,746) = 188646988
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 51/557, 280/908, 313/746?
Answer: GCF of Numerators as per given numbers 51/557, 280/908, 313/746 is
GCF of Numerators i.e. for 51,280,313 is 1
LCM of denominators i.e. for 557,908,746 is 188646988.
Thus, GCF of Fractions is 1/188646988.Finally, GCF of Fractions for 51/557, 280/908, 313/746 is 1/188646988.