Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 782/911,276/152,736/531
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 782,276,736
Greatest Common Factor of Numerators i.e. GCF of 782,276,736 is 46 .
LCM of Denominators means LCM of 911,152,531 as per the given fractions.
LCM of 911,152,531 is 73528632 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 782,276,736
2 | 782, 276, 736 |
23 | 391, 138, 368 |
17, 6, 16 |
∴ So the GCF of the given numbers is 2 x 23 = 46
Factors of 782
List of positive integer factors of 782 that divides 782 without a remainder.
1,2,17,23,34,46,391,782
Factors of 276
List of positive integer factors of 276 that divides 276 without a remainder.
1,2,3,4,6,12,23,46,69,92,138,276
Factors of 736
List of positive integer factors of 736 that divides 736 without a remainder.
1,2,4,8,16,23,32,46,92,184,368,736
Greatest Common Factor
We found the factors 782,276,736 . The biggest common factor number is the GCF number.
So the greatest common factor 782,276,736 is 46.
Lets's calculate LCM of 911,152,531
Given numbers has no common factors except 1. So, there LCM is their product i.e 73528632
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 46/73528632
Therefore, the GCF of Fractions 782/911,276/152,736/531 is 46/73528632
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 911,152,531 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(911,152,531) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(911,152,531) x common factors =1 x 1 = 1
LCM(911,152,531) = ( 911 × 152 × 531 ) / 1
LCM(911,152,531) = 73528632 / 1
LCM(911,152,531) = 73528632
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 782/911, 276/152, 736/531?
Answer: GCF of Numerators as per given numbers 782/911, 276/152, 736/531 is
GCF of Numerators i.e. for 782,276,736 is 46
LCM of denominators i.e. for 911,152,531 is 73528632.
Thus, GCF of Fractions is 46/73528632.Finally, GCF of Fractions for 782/911, 276/152, 736/531 is 46/73528632.