Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5176/713,1520/340
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 5176,1520
Greatest Common Factor of Numerators i.e. GCF of 5176,1520 is 8 .
LCM of Denominators means LCM of 713,340 as per the given fractions.
LCM of 713,340 is 242420 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5176,1520
2 | 5176, 1520 |
2 | 2588, 760 |
2 | 1294, 380 |
647, 190 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Factors of 5176
List of positive integer factors of 5176 that divides 5176 without a remainder.
1,2,4,8,647,1294,2588,5176
Factors of 1520
List of positive integer factors of 1520 that divides 1520 without a remainder.
1,2,4,5,8,10,16,19,20,38,40,76,80,95,152,190,304,380,760,1520
Greatest Common Factor
We found the factors 5176,1520 . The biggest common factor number is the GCF number.
So the greatest common factor 5176,1520 is 8.
Lets's calculate LCM of 713,340
Given numbers has no common factors except 1. So, there LCM is their product i.e 242420
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/242420
Therefore, the GCF of Fractions 5176/713,1520/340 is 8/242420
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 713,340 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(713,340) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(713,340) x common factors =1 x 1 = 1
LCM(713,340) = ( 713 × 340 ) / 1
LCM(713,340) = 242420 / 1
LCM(713,340) = 242420
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 5176/713, 1520/340?
Answer: GCF of Numerators as per given numbers 5176/713, 1520/340 is
GCF of Numerators i.e. for 5176,1520 is 8
LCM of denominators i.e. for 713,340 is 242420.
Thus, GCF of Fractions is 8/242420.Finally, GCF of Fractions for 5176/713, 1520/340 is 8/242420.