Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 360/55,762/83,735/799
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 360,762,735
Greatest Common Factor of Numerators i.e. GCF of 360,762,735 is 3 .
LCM of Denominators means LCM of 55,83,799 as per the given fractions.
LCM of 55,83,799 is 3647435 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 360,762,735
3 | 360, 762, 735 |
120, 254, 245 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 360
List of positive integer factors of 360 that divides 360 without a remainder.
1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360
Factors of 762
List of positive integer factors of 762 that divides 762 without a remainder.
1,2,3,6,127,254,381,762
Factors of 735
List of positive integer factors of 735 that divides 735 without a remainder.
1,3,5,7,15,21,35,49,105,147,245,735
Greatest Common Factor
We found the factors 360,762,735 . The biggest common factor number is the GCF number.
So the greatest common factor 360,762,735 is 3.
Lets's calculate LCM of 55,83,799
Given numbers has no common factors except 1. So, there LCM is their product i.e 3647435
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3647435
Therefore, the GCF of Fractions 360/55,762/83,735/799 is 3/3647435
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 55,83,799 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(55,83,799) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(55,83,799) x common factors =1 x 1 = 1
LCM(55,83,799) = ( 55 × 83 × 799 ) / 1
LCM(55,83,799) = 3647435 / 1
LCM(55,83,799) = 3647435
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 360/55, 762/83, 735/799?
Answer: GCF of Numerators as per given numbers 360/55, 762/83, 735/799 is
GCF of Numerators i.e. for 360,762,735 is 3
LCM of denominators i.e. for 55,83,799 is 3647435.
Thus, GCF of Fractions is 3/3647435.Finally, GCF of Fractions for 360/55, 762/83, 735/799 is 3/3647435.