Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6954/889,3527/1974
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 6954,3527
Greatest Common Factor of Numerators i.e. GCF of 6954,3527 is 1 .
LCM of Denominators means LCM of 889,1974 as per the given fractions.
LCM of 889,1974 is 250698 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6954,3527
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6954
List of positive integer factors of 6954 that divides 6954 without a remainder.
1,2,3,6,19,38,57,61,114,122,183,366,1159,2318,3477,6954
Factors of 3527
List of positive integer factors of 3527 that divides 3527 without a remainder.
1,3527
Greatest Common Factor
We found the factors 6954,3527 . The biggest common factor number is the GCF number.
So the greatest common factor 6954,3527 is 1.
Lets's calculate LCM of 889,1974
7 | 889, 1974 |
127, 282 |
∴ So the LCM of the given numbers is 7 x 127 x 282 = 250698
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/250698
Therefore, the GCF of Fractions 6954/889,3527/1974 is 1/250698
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 889,1974 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(889,1974) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(889,1974) x common factors =7 x 1 = 7
LCM(889,1974) = ( 889 × 1974 ) / 7
LCM(889,1974) = 1754886 / 7
LCM(889,1974) = 250698
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 6954/889, 3527/1974?
Answer: GCF of Numerators as per given numbers 6954/889, 3527/1974 is
GCF of Numerators i.e. for 6954,3527 is 1
LCM of denominators i.e. for 889,1974 is 250698.
Thus, GCF of Fractions is 1/250698.Finally, GCF of Fractions for 6954/889, 3527/1974 is 1/250698.