Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 938/881,569/438,374/364
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 938,569,374
Greatest Common Factor of Numerators i.e. GCF of 938,569,374 is 1 .
LCM of Denominators means LCM of 881,438,364 as per the given fractions.
LCM of 881,438,364 is 70229796 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 938,569,374
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 938
List of positive integer factors of 938 that divides 938 without a remainder.
1,2,7,14,67,134,469,938
Factors of 569
List of positive integer factors of 569 that divides 569 without a remainder.
1,569
Factors of 374
List of positive integer factors of 374 that divides 374 without a remainder.
1,2,11,17,22,34,187,374
Greatest Common Factor
We found the factors 938,569,374 . The biggest common factor number is the GCF number.
So the greatest common factor 938,569,374 is 1.
Lets's calculate LCM of 881,438,364
2 | 881, 438, 364 |
881, 219, 182 |
∴ So the LCM of the given numbers is 2 x 881 x 219 x 182 = 70229796
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/70229796
Therefore, the GCF of Fractions 938/881,569/438,374/364 is 1/70229796
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 881,438,364 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(881,438,364) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(881,438,364) x common factors =1 x 2 = 2
LCM(881,438,364) = ( 881 × 438 × 364 ) / 2
LCM(881,438,364) = 140459592 / 2
LCM(881,438,364) = 70229796
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 938/881, 569/438, 374/364?
Answer: GCF of Numerators as per given numbers 938/881, 569/438, 374/364 is
GCF of Numerators i.e. for 938,569,374 is 1
LCM of denominators i.e. for 881,438,364 is 70229796.
Thus, GCF of Fractions is 1/70229796.Finally, GCF of Fractions for 938/881, 569/438, 374/364 is 1/70229796.