Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3/94,7/84,86/94,51/156
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 3,7,86,51
Greatest Common Factor of Numerators i.e. GCF of 3,7,86,51 is 1 .
LCM of Denominators means LCM of 94,84,94,156 as per the given fractions.
LCM of 94,84,94,156 is 51324 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3,7,86,51
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3
List of positive integer factors of 3 that divides 3 without a remainder.
1,3
Factors of 7
List of positive integer factors of 7 that divides 7 without a remainder.
1,7
Factors of 86
List of positive integer factors of 86 that divides 86 without a remainder.
1,2,43,86
Factors of 51
List of positive integer factors of 51 that divides 51 without a remainder.
1,3,17,51
Greatest Common Factor
We found the factors 3,7,86,51 . The biggest common factor number is the GCF number.
So the greatest common factor 3,7,86,51 is 1.
Lets's calculate LCM of 94,84,94,156
2 | 94, 84, 94, 156 |
2 | 47, 42, 47, 78 |
3 | 47, 21, 47, 39 |
47 | 47, 7, 47, 13 |
1, 7, 1, 13 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 47 x 1 x 7 x 1 x 13 = 51324
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/51324
Therefore, the GCF of Fractions 3/94,7/84,86/94,51/156 is 1/51324
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 94,84,94,156 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(94,84,94,156) = 2
common factors(in case of two or more numbers have common factors) = 1128
GCF(94,84,94,156) x common factors =2 x 1128 = 2256
LCM(94,84,94,156) = ( 94 × 84 × 94 × 156 ) / 2256
LCM(94,84,94,156) = 115786944 / 2256
LCM(94,84,94,156) = 51324
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 3/94, 7/84, 86/94, 51/156?
Answer: GCF of Numerators as per given numbers 3/94, 7/84, 86/94, 51/156 is
GCF of Numerators i.e. for 3,7,86,51 is 1
LCM of denominators i.e. for 94,84,94,156 is 51324.
Thus, GCF of Fractions is 1/51324.Finally, GCF of Fractions for 3/94, 7/84, 86/94, 51/156 is 1/51324.