Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 815/277,613/961,624/706
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 815,613,624
Greatest Common Factor of Numerators i.e. GCF of 815,613,624 is 1 .
LCM of Denominators means LCM of 277,961,706 as per the given fractions.
LCM of 277,961,706 is 187935082 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 815,613,624
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 815
List of positive integer factors of 815 that divides 815 without a remainder.
1,5,163,815
Factors of 613
List of positive integer factors of 613 that divides 613 without a remainder.
1,613
Factors of 624
List of positive integer factors of 624 that divides 624 without a remainder.
1,2,3,4,6,8,12,13,16,24,26,39,48,52,78,104,156,208,312,624
Greatest Common Factor
We found the factors 815,613,624 . The biggest common factor number is the GCF number.
So the greatest common factor 815,613,624 is 1.
Lets's calculate LCM of 277,961,706
Given numbers has no common factors except 1. So, there LCM is their product i.e 187935082
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/187935082
Therefore, the GCF of Fractions 815/277,613/961,624/706 is 1/187935082
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 277,961,706 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(277,961,706) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(277,961,706) x common factors =1 x 1 = 1
LCM(277,961,706) = ( 277 × 961 × 706 ) / 1
LCM(277,961,706) = 187935082 / 1
LCM(277,961,706) = 187935082
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 815/277, 613/961, 624/706?
Answer: GCF of Numerators as per given numbers 815/277, 613/961, 624/706 is
GCF of Numerators i.e. for 815,613,624 is 1
LCM of denominators i.e. for 277,961,706 is 187935082.
Thus, GCF of Fractions is 1/187935082.Finally, GCF of Fractions for 815/277, 613/961, 624/706 is 1/187935082.