Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 118/602,140/570,250/723
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 118,140,250
Greatest Common Factor of Numerators i.e. GCF of 118,140,250 is 2 .
LCM of Denominators means LCM of 602,570,723 as per the given fractions.
LCM of 602,570,723 is 41348370 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 118,140,250
2 | 118, 140, 250 |
59, 70, 125 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 118
List of positive integer factors of 118 that divides 118 without a remainder.
1,2,59,118
Factors of 140
List of positive integer factors of 140 that divides 140 without a remainder.
1,2,4,5,7,10,14,20,28,35,70,140
Factors of 250
List of positive integer factors of 250 that divides 250 without a remainder.
1,2,5,10,25,50,125,250
Greatest Common Factor
We found the factors 118,140,250 . The biggest common factor number is the GCF number.
So the greatest common factor 118,140,250 is 2.
Lets's calculate LCM of 602,570,723
2 | 602, 570, 723 |
3 | 301, 285, 723 |
301, 95, 241 |
∴ So the LCM of the given numbers is 2 x 3 x 301 x 95 x 241 = 41348370
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/41348370
Therefore, the GCF of Fractions 118/602,140/570,250/723 is 2/41348370
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 602,570,723 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(602,570,723) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(602,570,723) x common factors =1 x 6 = 6
LCM(602,570,723) = ( 602 × 570 × 723 ) / 6
LCM(602,570,723) = 248090220 / 6
LCM(602,570,723) = 41348370
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 118/602, 140/570, 250/723?
Answer: GCF of Numerators as per given numbers 118/602, 140/570, 250/723 is
GCF of Numerators i.e. for 118,140,250 is 2
LCM of denominators i.e. for 602,570,723 is 41348370.
Thus, GCF of Fractions is 2/41348370.Finally, GCF of Fractions for 118/602, 140/570, 250/723 is 2/41348370.