Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 224/70,912/86,971/252
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 224,912,971
Greatest Common Factor of Numerators i.e. GCF of 224,912,971 is 1 .
LCM of Denominators means LCM of 70,86,252 as per the given fractions.
LCM of 70,86,252 is 54180 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 224,912,971
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 224
List of positive integer factors of 224 that divides 224 without a remainder.
1,2,4,7,8,14,16,28,32,56,112,224
Factors of 912
List of positive integer factors of 912 that divides 912 without a remainder.
1,2,3,4,6,8,12,16,19,24,38,48,57,76,114,152,228,304,456,912
Factors of 971
List of positive integer factors of 971 that divides 971 without a remainder.
1,971
Greatest Common Factor
We found the factors 224,912,971 . The biggest common factor number is the GCF number.
So the greatest common factor 224,912,971 is 1.
Lets's calculate LCM of 70,86,252
2 | 70, 86, 252 |
7 | 35, 43, 126 |
5, 43, 18 |
∴ So the LCM of the given numbers is 2 x 7 x 5 x 43 x 18 = 54180
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/54180
Therefore, the GCF of Fractions 224/70,912/86,971/252 is 1/54180
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 70,86,252 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,86,252) = 2
common factors(in case of two or more numbers have common factors) = 14
GCF(70,86,252) x common factors =2 x 14 = 28
LCM(70,86,252) = ( 70 × 86 × 252 ) / 28
LCM(70,86,252) = 1517040 / 28
LCM(70,86,252) = 54180
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 224/70, 912/86, 971/252?
Answer: GCF of Numerators as per given numbers 224/70, 912/86, 971/252 is
GCF of Numerators i.e. for 224,912,971 is 1
LCM of denominators i.e. for 70,86,252 is 54180.
Thus, GCF of Fractions is 1/54180.Finally, GCF of Fractions for 224/70, 912/86, 971/252 is 1/54180.