Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 691/812,240/615,946/738
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 691,240,946
Greatest Common Factor of Numerators i.e. GCF of 691,240,946 is 1 .
LCM of Denominators means LCM of 812,615,738 as per the given fractions.
LCM of 812,615,738 is 1498140 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 691,240,946
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 691
List of positive integer factors of 691 that divides 691 without a remainder.
1,691
Factors of 240
List of positive integer factors of 240 that divides 240 without a remainder.
1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240
Factors of 946
List of positive integer factors of 946 that divides 946 without a remainder.
1,2,11,22,43,86,473,946
Greatest Common Factor
We found the factors 691,240,946 . The biggest common factor number is the GCF number.
So the greatest common factor 691,240,946 is 1.
Lets's calculate LCM of 812,615,738
2 | 812, 615, 738 |
3 | 406, 615, 369 |
41 | 406, 205, 123 |
406, 5, 3 |
∴ So the LCM of the given numbers is 2 x 3 x 41 x 406 x 5 x 3 = 1498140
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1498140
Therefore, the GCF of Fractions 691/812,240/615,946/738 is 1/1498140
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 812,615,738 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(812,615,738) = 1
common factors(in case of two or more numbers have common factors) = 246
GCF(812,615,738) x common factors =1 x 246 = 246
LCM(812,615,738) = ( 812 × 615 × 738 ) / 246
LCM(812,615,738) = 368542440 / 246
LCM(812,615,738) = 1498140
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 691/812, 240/615, 946/738?
Answer: GCF of Numerators as per given numbers 691/812, 240/615, 946/738 is
GCF of Numerators i.e. for 691,240,946 is 1
LCM of denominators i.e. for 812,615,738 is 1498140.
Thus, GCF of Fractions is 1/1498140.Finally, GCF of Fractions for 691/812, 240/615, 946/738 is 1/1498140.