Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 898/10,747/56,952/252
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 898,747,952
Greatest Common Factor of Numerators i.e. GCF of 898,747,952 is 1 .
LCM of Denominators means LCM of 10,56,252 as per the given fractions.
LCM of 10,56,252 is 2520 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 898,747,952
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 898
List of positive integer factors of 898 that divides 898 without a remainder.
1,2,449,898
Factors of 747
List of positive integer factors of 747 that divides 747 without a remainder.
1,3,9,83,249,747
Factors of 952
List of positive integer factors of 952 that divides 952 without a remainder.
1,2,4,7,8,14,17,28,34,56,68,119,136,238,476,952
Greatest Common Factor
We found the factors 898,747,952 . The biggest common factor number is the GCF number.
So the greatest common factor 898,747,952 is 1.
Lets's calculate LCM of 10,56,252
2 | 10, 56, 252 |
2 | 5, 28, 126 |
7 | 5, 14, 63 |
5, 2, 9 |
∴ So the LCM of the given numbers is 2 x 2 x 7 x 5 x 2 x 9 = 2520
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2520
Therefore, the GCF of Fractions 898/10,747/56,952/252 is 1/2520
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 10,56,252 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(10,56,252) = 2
common factors(in case of two or more numbers have common factors) = 28
GCF(10,56,252) x common factors =2 x 28 = 56
LCM(10,56,252) = ( 10 × 56 × 252 ) / 56
LCM(10,56,252) = 141120 / 56
LCM(10,56,252) = 2520
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 898/10, 747/56, 952/252?
Answer: GCF of Numerators as per given numbers 898/10, 747/56, 952/252 is
GCF of Numerators i.e. for 898,747,952 is 1
LCM of denominators i.e. for 10,56,252 is 2520.
Thus, GCF of Fractions is 1/2520.Finally, GCF of Fractions for 898/10, 747/56, 952/252 is 1/2520.