Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1871/24,2698/472
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 1871,2698
Greatest Common Factor of Numerators i.e. GCF of 1871,2698 is 1 .
LCM of Denominators means LCM of 24,472 as per the given fractions.
LCM of 24,472 is 1416 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1871,2698
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1871
List of positive integer factors of 1871 that divides 1871 without a remainder.
1,1871
Factors of 2698
List of positive integer factors of 2698 that divides 2698 without a remainder.
1,2,19,38,71,142,1349,2698
Greatest Common Factor
We found the factors 1871,2698 . The biggest common factor number is the GCF number.
So the greatest common factor 1871,2698 is 1.
Lets's calculate LCM of 24,472
2 | 24, 472 |
2 | 12, 236 |
2 | 6, 118 |
3, 59 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 59 = 1416
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1416
Therefore, the GCF of Fractions 1871/24,2698/472 is 1/1416
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 24,472 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(24,472) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(24,472) x common factors =8 x 1 = 8
LCM(24,472) = ( 24 × 472 ) / 8
LCM(24,472) = 11328 / 8
LCM(24,472) = 1416
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 1871/24, 2698/472?
Answer: GCF of Numerators as per given numbers 1871/24, 2698/472 is
GCF of Numerators i.e. for 1871,2698 is 1
LCM of denominators i.e. for 24,472 is 1416.
Thus, GCF of Fractions is 1/1416.Finally, GCF of Fractions for 1871/24, 2698/472 is 1/1416.