Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 79/65,22/72,82/45,700/63
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 79,22,82,700
Greatest Common Factor of Numerators i.e. GCF of 79,22,82,700 is 1 .
LCM of Denominators means LCM of 65,72,45,63 as per the given fractions.
LCM of 65,72,45,63 is 32760 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 79,22,82,700
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 79
List of positive integer factors of 79 that divides 79 without a remainder.
1,79
Factors of 22
List of positive integer factors of 22 that divides 22 without a remainder.
1,2,11,22
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Factors of 700
List of positive integer factors of 700 that divides 700 without a remainder.
1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700
Greatest Common Factor
We found the factors 79,22,82,700 . The biggest common factor number is the GCF number.
So the greatest common factor 79,22,82,700 is 1.
Lets's calculate LCM of 65,72,45,63
3 | 65, 72, 45, 63 |
3 | 65, 24, 15, 21 |
5 | 65, 8, 5, 7 |
13, 8, 1, 7 |
∴ So the LCM of the given numbers is 3 x 3 x 5 x 13 x 8 x 1 x 7 = 32760
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/32760
Therefore, the GCF of Fractions 79/65,22/72,82/45,700/63 is 1/32760
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 65,72,45,63 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(65,72,45,63) = 1
common factors(in case of two or more numbers have common factors) = 405
GCF(65,72,45,63) x common factors =1 x 405 = 405
LCM(65,72,45,63) = ( 65 × 72 × 45 × 63 ) / 405
LCM(65,72,45,63) = 13267800 / 405
LCM(65,72,45,63) = 32760
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 79/65, 22/72, 82/45, 700/63?
Answer: GCF of Numerators as per given numbers 79/65, 22/72, 82/45, 700/63 is
GCF of Numerators i.e. for 79,22,82,700 is 1
LCM of denominators i.e. for 65,72,45,63 is 32760.
Thus, GCF of Fractions is 1/32760.Finally, GCF of Fractions for 79/65, 22/72, 82/45, 700/63 is 1/32760.