Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7643/478,1967/706
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 7643,1967
Greatest Common Factor of Numerators i.e. GCF of 7643,1967 is 1 .
LCM of Denominators means LCM of 478,706 as per the given fractions.
LCM of 478,706 is 168734 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7643,1967
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7643
List of positive integer factors of 7643 that divides 7643 without a remainder.
1,7643
Factors of 1967
List of positive integer factors of 1967 that divides 1967 without a remainder.
1,7,281,1967
Greatest Common Factor
We found the factors 7643,1967 . The biggest common factor number is the GCF number.
So the greatest common factor 7643,1967 is 1.
Lets's calculate LCM of 478,706
2 | 478, 706 |
239, 353 |
∴ So the LCM of the given numbers is 2 x 239 x 353 = 168734
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/168734
Therefore, the GCF of Fractions 7643/478,1967/706 is 1/168734
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 478,706 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(478,706) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(478,706) x common factors =2 x 1 = 2
LCM(478,706) = ( 478 × 706 ) / 2
LCM(478,706) = 337468 / 2
LCM(478,706) = 168734
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 7643/478, 1967/706?
Answer: GCF of Numerators as per given numbers 7643/478, 1967/706 is
GCF of Numerators i.e. for 7643,1967 is 1
LCM of denominators i.e. for 478,706 is 168734.
Thus, GCF of Fractions is 1/168734.Finally, GCF of Fractions for 7643/478, 1967/706 is 1/168734.