Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 26/56,70/64,36/56,76/202
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 26,70,36,76
Greatest Common Factor of Numerators i.e. GCF of 26,70,36,76 is 2 .
LCM of Denominators means LCM of 56,64,56,202 as per the given fractions.
LCM of 56,64,56,202 is 45248 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 26,70,36,76
2 | 26, 70, 36, 76 |
13, 35, 18, 38 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 26
List of positive integer factors of 26 that divides 26 without a remainder.
1,2,13,26
Factors of 70
List of positive integer factors of 70 that divides 70 without a remainder.
1,2,5,7,10,14,35,70
Factors of 36
List of positive integer factors of 36 that divides 36 without a remainder.
1,2,3,4,6,9,12,18,36
Factors of 76
List of positive integer factors of 76 that divides 76 without a remainder.
1,2,4,19,38,76
Greatest Common Factor
We found the factors 26,70,36,76 . The biggest common factor number is the GCF number.
So the greatest common factor 26,70,36,76 is 2.
Lets's calculate LCM of 56,64,56,202
2 | 56, 64, 56, 202 |
2 | 28, 32, 28, 101 |
2 | 14, 16, 14, 101 |
7 | 7, 8, 7, 101 |
1, 8, 1, 101 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 1 x 8 x 1 x 101 = 45248
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/45248
Therefore, the GCF of Fractions 26/56,70/64,36/56,76/202 is 2/45248
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 56,64,56,202 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(56,64,56,202) = 2
common factors(in case of two or more numbers have common factors) = 448
GCF(56,64,56,202) x common factors =2 x 448 = 896
LCM(56,64,56,202) = ( 56 × 64 × 56 × 202 ) / 896
LCM(56,64,56,202) = 40542208 / 896
LCM(56,64,56,202) = 45248
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 26/56, 70/64, 36/56, 76/202?
Answer: GCF of Numerators as per given numbers 26/56, 70/64, 36/56, 76/202 is
GCF of Numerators i.e. for 26,70,36,76 is 2
LCM of denominators i.e. for 56,64,56,202 is 45248.
Thus, GCF of Fractions is 2/45248.Finally, GCF of Fractions for 26/56, 70/64, 36/56, 76/202 is 2/45248.