Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 786/558,471/947
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 786,471
Greatest Common Factor of Numerators i.e. GCF of 786,471 is 3 .
LCM of Denominators means LCM of 558,947 as per the given fractions.
LCM of 558,947 is 528426 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 786,471
3 | 786, 471 |
262, 157 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 786
List of positive integer factors of 786 that divides 786 without a remainder.
1,2,3,6,131,262,393,786
Factors of 471
List of positive integer factors of 471 that divides 471 without a remainder.
1,3,157,471
Greatest Common Factor
We found the factors 786,471 . The biggest common factor number is the GCF number.
So the greatest common factor 786,471 is 3.
Lets's calculate LCM of 558,947
Given numbers has no common factors except 1. So, there LCM is their product i.e 528426
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/528426
Therefore, the GCF of Fractions 786/558,471/947 is 3/528426
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 558,947 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(558,947) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(558,947) x common factors =1 x 1 = 1
LCM(558,947) = ( 558 × 947 ) / 1
LCM(558,947) = 528426 / 1
LCM(558,947) = 528426
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 786/558, 471/947?
Answer: GCF of Numerators as per given numbers 786/558, 471/947 is
GCF of Numerators i.e. for 786,471 is 3
LCM of denominators i.e. for 558,947 is 528426.
Thus, GCF of Fractions is 3/528426.Finally, GCF of Fractions for 786/558, 471/947 is 3/528426.