Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 786/79,670/700
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 786,670
Greatest Common Factor of Numerators i.e. GCF of 786,670 is 2 .
LCM of Denominators means LCM of 79,700 as per the given fractions.
LCM of 79,700 is 55300 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 786,670
2 | 786, 670 |
393, 335 |
∴ So the GCF of the given numbers is 2 = 2
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 670
List of positive integer factors of 670 that divides 670 without a remainder.
1,2,5,10,67,134,335,670
Greatest Common Factor
We found the factors 786,670 . The biggest common factor number is the GCF number.
So the greatest common factor 786,670 is 2.
Lets's calculate LCM of 79,700
Given numbers has no common factors except 1. So, there LCM is their product i.e 55300
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/55300
Therefore, the GCF of Fractions 786/79,670/700 is 2/55300
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 79,700 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(79,700) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(79,700) x common factors =1 x 1 = 1
LCM(79,700) = ( 79 × 700 ) / 1
LCM(79,700) = 55300 / 1
LCM(79,700) = 55300
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 786/79, 670/700?
Answer: GCF of Numerators as per given numbers 786/79, 670/700 is
GCF of Numerators i.e. for 786,670 is 2
LCM of denominators i.e. for 79,700 is 55300.
Thus, GCF of Fractions is 2/55300.Finally, GCF of Fractions for 786/79, 670/700 is 2/55300.