Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 160/49,712/40,245/672
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 160,712,245
Greatest Common Factor of Numerators i.e. GCF of 160,712,245 is 1 .
LCM of Denominators means LCM of 49,40,672 as per the given fractions.
LCM of 49,40,672 is 23520 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 160,712,245
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 160
List of positive integer factors of 160 that divides 160 without a remainder.
1,2,4,5,8,10,16,20,32,40,80,160
Factors of 712
List of positive integer factors of 712 that divides 712 without a remainder.
1,2,4,8,89,178,356,712
Factors of 245
List of positive integer factors of 245 that divides 245 without a remainder.
1,5,7,35,49,245
Greatest Common Factor
We found the factors 160,712,245 . The biggest common factor number is the GCF number.
So the greatest common factor 160,712,245 is 1.
Lets's calculate LCM of 49,40,672
2 | 49, 40, 672 |
2 | 49, 20, 336 |
2 | 49, 10, 168 |
7 | 49, 5, 84 |
7, 5, 12 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 7 x 5 x 12 = 23520
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23520
Therefore, the GCF of Fractions 160/49,712/40,245/672 is 1/23520
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 49,40,672 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(49,40,672) = 1
common factors(in case of two or more numbers have common factors) = 56
GCF(49,40,672) x common factors =1 x 56 = 56
LCM(49,40,672) = ( 49 × 40 × 672 ) / 56
LCM(49,40,672) = 1317120 / 56
LCM(49,40,672) = 23520
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 160/49, 712/40, 245/672?
Answer: GCF of Numerators as per given numbers 160/49, 712/40, 245/672 is
GCF of Numerators i.e. for 160,712,245 is 1
LCM of denominators i.e. for 49,40,672 is 23520.
Thus, GCF of Fractions is 1/23520.Finally, GCF of Fractions for 160/49, 712/40, 245/672 is 1/23520.