Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 735/844,308/439,520/970
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 735,308,520
Greatest Common Factor of Numerators i.e. GCF of 735,308,520 is 1 .
LCM of Denominators means LCM of 844,439,970 as per the given fractions.
LCM of 844,439,970 is 179700260 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 735,308,520
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 735
List of positive integer factors of 735 that divides 735 without a remainder.
1,3,5,7,15,21,35,49,105,147,245,735
Factors of 308
List of positive integer factors of 308 that divides 308 without a remainder.
1,2,4,7,11,14,22,28,44,77,154,308
Factors of 520
List of positive integer factors of 520 that divides 520 without a remainder.
1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520
Greatest Common Factor
We found the factors 735,308,520 . The biggest common factor number is the GCF number.
So the greatest common factor 735,308,520 is 1.
Lets's calculate LCM of 844,439,970
2 | 844, 439, 970 |
422, 439, 485 |
∴ So the LCM of the given numbers is 2 x 422 x 439 x 485 = 179700260
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/179700260
Therefore, the GCF of Fractions 735/844,308/439,520/970 is 1/179700260
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 844,439,970 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(844,439,970) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(844,439,970) x common factors =1 x 2 = 2
LCM(844,439,970) = ( 844 × 439 × 970 ) / 2
LCM(844,439,970) = 359400520 / 2
LCM(844,439,970) = 179700260
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 735/844, 308/439, 520/970?
Answer: GCF of Numerators as per given numbers 735/844, 308/439, 520/970 is
GCF of Numerators i.e. for 735,308,520 is 1
LCM of denominators i.e. for 844,439,970 is 179700260.
Thus, GCF of Fractions is 1/179700260.Finally, GCF of Fractions for 735/844, 308/439, 520/970 is 1/179700260.