Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 35/80,47/48,99/85,782/63
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 35,47,99,782
Greatest Common Factor of Numerators i.e. GCF of 35,47,99,782 is 1 .
LCM of Denominators means LCM of 80,48,85,63 as per the given fractions.
LCM of 80,48,85,63 is 85680 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 35,47,99,782
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 35
List of positive integer factors of 35 that divides 35 without a remainder.
1,5,7,35
Factors of 47
List of positive integer factors of 47 that divides 47 without a remainder.
1,47
Factors of 99
List of positive integer factors of 99 that divides 99 without a remainder.
1,3,9,11,33,99
Factors of 782
List of positive integer factors of 782 that divides 782 without a remainder.
1,2,17,23,34,46,391,782
Greatest Common Factor
We found the factors 35,47,99,782 . The biggest common factor number is the GCF number.
So the greatest common factor 35,47,99,782 is 1.
Lets's calculate LCM of 80,48,85,63
2 | 80, 48, 85, 63 |
2 | 40, 24, 85, 63 |
2 | 20, 12, 85, 63 |
2 | 10, 6, 85, 63 |
3 | 5, 3, 85, 63 |
5 | 5, 1, 85, 21 |
1, 1, 17, 21 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 5 x 1 x 1 x 17 x 21 = 85680
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/85680
Therefore, the GCF of Fractions 35/80,47/48,99/85,782/63 is 1/85680
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 80,48,85,63 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(80,48,85,63) = 1
common factors(in case of two or more numbers have common factors) = 240
GCF(80,48,85,63) x common factors =1 x 240 = 240
LCM(80,48,85,63) = ( 80 × 48 × 85 × 63 ) / 240
LCM(80,48,85,63) = 20563200 / 240
LCM(80,48,85,63) = 85680
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 35/80, 47/48, 99/85, 782/63?
Answer: GCF of Numerators as per given numbers 35/80, 47/48, 99/85, 782/63 is
GCF of Numerators i.e. for 35,47,99,782 is 1
LCM of denominators i.e. for 80,48,85,63 is 85680.
Thus, GCF of Fractions is 1/85680.Finally, GCF of Fractions for 35/80, 47/48, 99/85, 782/63 is 1/85680.