Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 692/659,8078/693
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 692,8078
Greatest Common Factor of Numerators i.e. GCF of 692,8078 is 2 .
LCM of Denominators means LCM of 659,693 as per the given fractions.
LCM of 659,693 is 456687 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 692,8078
2 | 692, 8078 |
346, 4039 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 692
List of positive integer factors of 692 that divides 692 without a remainder.
1,2,4,173,346,692
Factors of 8078
List of positive integer factors of 8078 that divides 8078 without a remainder.
1,2,7,14,577,1154,4039,8078
Greatest Common Factor
We found the factors 692,8078 . The biggest common factor number is the GCF number.
So the greatest common factor 692,8078 is 2.
Lets's calculate LCM of 659,693
Given numbers has no common factors except 1. So, there LCM is their product i.e 456687
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/456687
Therefore, the GCF of Fractions 692/659,8078/693 is 2/456687
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 659,693 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(659,693) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(659,693) x common factors =1 x 1 = 1
LCM(659,693) = ( 659 × 693 ) / 1
LCM(659,693) = 456687 / 1
LCM(659,693) = 456687
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 692/659, 8078/693?
Answer: GCF of Numerators as per given numbers 692/659, 8078/693 is
GCF of Numerators i.e. for 692,8078 is 2
LCM of denominators i.e. for 659,693 is 456687.
Thus, GCF of Fractions is 2/456687.Finally, GCF of Fractions for 692/659, 8078/693 is 2/456687.