Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 841/140,813/738,308/762
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 841,813,308
Greatest Common Factor of Numerators i.e. GCF of 841,813,308 is 1 .
LCM of Denominators means LCM of 140,738,762 as per the given fractions.
LCM of 140,738,762 is 6560820 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 841,813,308
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 841
List of positive integer factors of 841 that divides 841 without a remainder.
1,29,841
Factors of 813
List of positive integer factors of 813 that divides 813 without a remainder.
1,3,271,813
Factors of 308
List of positive integer factors of 308 that divides 308 without a remainder.
1,2,4,7,11,14,22,28,44,77,154,308
Greatest Common Factor
We found the factors 841,813,308 . The biggest common factor number is the GCF number.
So the greatest common factor 841,813,308 is 1.
Lets's calculate LCM of 140,738,762
2 | 140, 738, 762 |
3 | 70, 369, 381 |
70, 123, 127 |
∴ So the LCM of the given numbers is 2 x 3 x 70 x 123 x 127 = 6560820
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6560820
Therefore, the GCF of Fractions 841/140,813/738,308/762 is 1/6560820
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 140,738,762 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(140,738,762) = 2
common factors(in case of two or more numbers have common factors) = 6
GCF(140,738,762) x common factors =2 x 6 = 12
LCM(140,738,762) = ( 140 × 738 × 762 ) / 12
LCM(140,738,762) = 78729840 / 12
LCM(140,738,762) = 6560820
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 841/140, 813/738, 308/762?
Answer: GCF of Numerators as per given numbers 841/140, 813/738, 308/762 is
GCF of Numerators i.e. for 841,813,308 is 1
LCM of denominators i.e. for 140,738,762 is 6560820.
Thus, GCF of Fractions is 1/6560820.Finally, GCF of Fractions for 841/140, 813/738, 308/762 is 1/6560820.