Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 63/6,68/8,56/6,42/6,893/9,59/3,35/1,931/9,10/9,99/9
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 63,68,56,42,893,59,35,931,10,99
Greatest Common Factor of Numerators i.e. GCF of 63,68,56,42,893,59,35,931,10,99 is 1 .
LCM of Denominators means LCM of 6,8,6,6,9,3,1,9,9,9 as per the given fractions.
LCM of 6,8,6,6,9,3,1,9,9,9 is 72 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 63,68,56,42,893,59,35,931,10,99
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 63
List of positive integer factors of 63 that divides 63 without a remainder.
1,3,7,9,21,63
Factors of 68
List of positive integer factors of 68 that divides 68 without a remainder.
1,2,4,17,34,68
Factors of 56
List of positive integer factors of 56 that divides 56 without a remainder.
1,2,4,7,8,14,28,56
Factors of 42
List of positive integer factors of 42 that divides 42 without a remainder.
1,2,3,6,7,14,21,42
Factors of 893
List of positive integer factors of 893 that divides 893 without a remainder.
1,19,47,893
Factors of 59
List of positive integer factors of 59 that divides 59 without a remainder.
1,59
Factors of 35
List of positive integer factors of 35 that divides 35 without a remainder.
1,5,7,35
Factors of 931
List of positive integer factors of 931 that divides 931 without a remainder.
1,7,19,49,133,931
Factors of 10
List of positive integer factors of 10 that divides 10 without a remainder.
1,2,5,10
Factors of 99
List of positive integer factors of 99 that divides 99 without a remainder.
1,3,9,11,33,99
Greatest Common Factor
We found the factors 63,68,56,42,893,59,35,931,10,99 . The biggest common factor number is the GCF number.
So the greatest common factor 63,68,56,42,893,59,35,931,10,99 is 1.
Lets's calculate LCM of 6,8,6,6,9,3,1,9,9,9
2 | 6, 8, 6, 6, 9, 3, 1, 9, 9, 9 |
3 | 3, 4, 3, 3, 9, 3, 1, 9, 9, 9 |
3 | 1, 4, 1, 1, 1, 3, 1, 3, 3, 3 |
1, 4, 1, 1, 1, 1, 1, 1, 1, 1 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 1 x 4 x 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 = 72
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/72
Therefore, the GCF of Fractions 63/6,68/8,56/6,42/6,893/9,59/3,35/1,931/9,10/9,99/9 is 1/72
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 6,8,6,6,9,3,1,9,9,9 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6,8,6,6,9,3,1,9,9,9) = 1
common factors(in case of two or more numbers have common factors) = 472392
GCF(6,8,6,6,9,3,1,9,9,9) x common factors =1 x 472392 = 472392
LCM(6,8,6,6,9,3,1,9,9,9) = ( 6 × 8 × 6 × 6 × 9 × 3 × 1 × 9 × 9 × 9 ) / 472392
LCM(6,8,6,6,9,3,1,9,9,9) = 34012224 / 472392
LCM(6,8,6,6,9,3,1,9,9,9) = 72
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 63/6, 68/8, 56/6, 42/6, 893/9, 59/3, 35/1, 931/9, 10/9, 99/9?
Answer: GCF of Numerators as per given numbers 63/6, 68/8, 56/6, 42/6, 893/9, 59/3, 35/1, 931/9, 10/9, 99/9 is
GCF of Numerators i.e. for 63,68,56,42,893,59,35,931,10,99 is 1
LCM of denominators i.e. for 6,8,6,6,9,3,1,9,9,9 is 72.
Thus, GCF of Fractions is 1/72.Finally, GCF of Fractions for 63/6, 68/8, 56/6, 42/6, 893/9, 59/3, 35/1, 931/9, 10/9, 99/9 is 1/72.