Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 710/77,358/1698
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 710,358
Greatest Common Factor of Numerators i.e. GCF of 710,358 is 2 .
LCM of Denominators means LCM of 77,1698 as per the given fractions.
LCM of 77,1698 is 130746 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 710,358
2 | 710, 358 |
355, 179 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 710
List of positive integer factors of 710 that divides 710 without a remainder.
1,2,5,10,71,142,355,710
Factors of 358
List of positive integer factors of 358 that divides 358 without a remainder.
1,2,179,358
Greatest Common Factor
We found the factors 710,358 . The biggest common factor number is the GCF number.
So the greatest common factor 710,358 is 2.
Lets's calculate LCM of 77,1698
Given numbers has no common factors except 1. So, there LCM is their product i.e 130746
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/130746
Therefore, the GCF of Fractions 710/77,358/1698 is 2/130746
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 77,1698 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,1698) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(77,1698) x common factors =1 x 1 = 1
LCM(77,1698) = ( 77 × 1698 ) / 1
LCM(77,1698) = 130746 / 1
LCM(77,1698) = 130746
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 710/77, 358/1698?
Answer: GCF of Numerators as per given numbers 710/77, 358/1698 is
GCF of Numerators i.e. for 710,358 is 2
LCM of denominators i.e. for 77,1698 is 130746.
Thus, GCF of Fractions is 2/130746.Finally, GCF of Fractions for 710/77, 358/1698 is 2/130746.