Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 748/83,2860/387
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 748,2860
Greatest Common Factor of Numerators i.e. GCF of 748,2860 is 44 .
LCM of Denominators means LCM of 83,387 as per the given fractions.
LCM of 83,387 is 32121 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 748,2860
2 | 748, 2860 |
2 | 374, 1430 |
11 | 187, 715 |
17, 65 |
∴ So the GCF of the given numbers is 2 x 2 x 11 = 44
Factors of 748
List of positive integer factors of 748 that divides 748 without a remainder.
1,2,4,11,17,22,34,44,68,187,374,748
Factors of 2860
List of positive integer factors of 2860 that divides 2860 without a remainder.
1,2,4,5,10,11,13,20,22,26,44,52,55,65,110,130,143,220,260,286,572,715,1430,2860
Greatest Common Factor
We found the factors 748,2860 . The biggest common factor number is the GCF number.
So the greatest common factor 748,2860 is 44.
Lets's calculate LCM of 83,387
Given numbers has no common factors except 1. So, there LCM is their product i.e 32121
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 44/32121
Therefore, the GCF of Fractions 748/83,2860/387 is 44/32121
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 83,387 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(83,387) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(83,387) x common factors =1 x 1 = 1
LCM(83,387) = ( 83 × 387 ) / 1
LCM(83,387) = 32121 / 1
LCM(83,387) = 32121
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 748/83, 2860/387?
Answer: GCF of Numerators as per given numbers 748/83, 2860/387 is
GCF of Numerators i.e. for 748,2860 is 44
LCM of denominators i.e. for 83,387 is 32121.
Thus, GCF of Fractions is 44/32121.Finally, GCF of Fractions for 748/83, 2860/387 is 44/32121.