Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 834/902,8357/630
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 834,8357
Greatest Common Factor of Numerators i.e. GCF of 834,8357 is 1 .
LCM of Denominators means LCM of 902,630 as per the given fractions.
LCM of 902,630 is 284130 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 834,8357
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 834
List of positive integer factors of 834 that divides 834 without a remainder.
1,2,3,6,139,278,417,834
Factors of 8357
List of positive integer factors of 8357 that divides 8357 without a remainder.
1,61,137,8357
Greatest Common Factor
We found the factors 834,8357 . The biggest common factor number is the GCF number.
So the greatest common factor 834,8357 is 1.
Lets's calculate LCM of 902,630
2 | 902, 630 |
451, 315 |
∴ So the LCM of the given numbers is 2 x 451 x 315 = 284130
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/284130
Therefore, the GCF of Fractions 834/902,8357/630 is 1/284130
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 902,630 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(902,630) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(902,630) x common factors =2 x 1 = 2
LCM(902,630) = ( 902 × 630 ) / 2
LCM(902,630) = 568260 / 2
LCM(902,630) = 284130
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 834/902, 8357/630?
Answer: GCF of Numerators as per given numbers 834/902, 8357/630 is
GCF of Numerators i.e. for 834,8357 is 1
LCM of denominators i.e. for 902,630 is 284130.
Thus, GCF of Fractions is 1/284130.Finally, GCF of Fractions for 834/902, 8357/630 is 1/284130.