Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 62/77,40/49,76/37,112/10
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 62,40,76,112
Greatest Common Factor of Numerators i.e. GCF of 62,40,76,112 is 2 .
LCM of Denominators means LCM of 77,49,37,10 as per the given fractions.
LCM of 77,49,37,10 is 199430 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 62,40,76,112
2 | 62, 40, 76, 112 |
31, 20, 38, 56 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 62
List of positive integer factors of 62 that divides 62 without a remainder.
1,2,31,62
Factors of 40
List of positive integer factors of 40 that divides 40 without a remainder.
1,2,4,5,8,10,20,40
Factors of 76
List of positive integer factors of 76 that divides 76 without a remainder.
1,2,4,19,38,76
Factors of 112
List of positive integer factors of 112 that divides 112 without a remainder.
1,2,4,7,8,14,16,28,56,112
Greatest Common Factor
We found the factors 62,40,76,112 . The biggest common factor number is the GCF number.
So the greatest common factor 62,40,76,112 is 2.
Lets's calculate LCM of 77,49,37,10
7 | 77, 49, 37, 10 |
11, 7, 37, 10 |
∴ So the LCM of the given numbers is 7 x 11 x 7 x 37 x 10 = 199430
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/199430
Therefore, the GCF of Fractions 62/77,40/49,76/37,112/10 is 2/199430
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 77,49,37,10 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,49,37,10) = 1
common factors(in case of two or more numbers have common factors) = 7
GCF(77,49,37,10) x common factors =1 x 7 = 7
LCM(77,49,37,10) = ( 77 × 49 × 37 × 10 ) / 7
LCM(77,49,37,10) = 1396010 / 7
LCM(77,49,37,10) = 199430
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 62/77, 40/49, 76/37, 112/10?
Answer: GCF of Numerators as per given numbers 62/77, 40/49, 76/37, 112/10 is
GCF of Numerators i.e. for 62,40,76,112 is 2
LCM of denominators i.e. for 77,49,37,10 is 199430.
Thus, GCF of Fractions is 2/199430.Finally, GCF of Fractions for 62/77, 40/49, 76/37, 112/10 is 2/199430.