Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6883/920,4712/5742
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 6883,4712
Greatest Common Factor of Numerators i.e. GCF of 6883,4712 is 1 .
LCM of Denominators means LCM of 920,5742 as per the given fractions.
LCM of 920,5742 is 2641320 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6883,4712
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6883
List of positive integer factors of 6883 that divides 6883 without a remainder.
1,6883
Factors of 4712
List of positive integer factors of 4712 that divides 4712 without a remainder.
1,2,4,8,19,31,38,62,76,124,152,248,589,1178,2356,4712
Greatest Common Factor
We found the factors 6883,4712 . The biggest common factor number is the GCF number.
So the greatest common factor 6883,4712 is 1.
Lets's calculate LCM of 920,5742
2 | 920, 5742 |
460, 2871 |
∴ So the LCM of the given numbers is 2 x 460 x 2871 = 2641320
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2641320
Therefore, the GCF of Fractions 6883/920,4712/5742 is 1/2641320
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 920,5742 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(920,5742) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(920,5742) x common factors =2 x 1 = 2
LCM(920,5742) = ( 920 × 5742 ) / 2
LCM(920,5742) = 5282640 / 2
LCM(920,5742) = 2641320
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 6883/920, 4712/5742?
Answer: GCF of Numerators as per given numbers 6883/920, 4712/5742 is
GCF of Numerators i.e. for 6883,4712 is 1
LCM of denominators i.e. for 920,5742 is 2641320.
Thus, GCF of Fractions is 1/2641320.Finally, GCF of Fractions for 6883/920, 4712/5742 is 1/2641320.