Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6074/836,7448/765
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 6074,7448
Greatest Common Factor of Numerators i.e. GCF of 6074,7448 is 2 .
LCM of Denominators means LCM of 836,765 as per the given fractions.
LCM of 836,765 is 639540 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6074,7448
2 | 6074, 7448 |
3037, 3724 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 6074
List of positive integer factors of 6074 that divides 6074 without a remainder.
1,2,3037,6074
Factors of 7448
List of positive integer factors of 7448 that divides 7448 without a remainder.
1,2,4,7,8,14,19,28,38,49,56,76,98,133,152,196,266,392,532,931,1064,1862,3724,7448
Greatest Common Factor
We found the factors 6074,7448 . The biggest common factor number is the GCF number.
So the greatest common factor 6074,7448 is 2.
Lets's calculate LCM of 836,765
Given numbers has no common factors except 1. So, there LCM is their product i.e 639540
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/639540
Therefore, the GCF of Fractions 6074/836,7448/765 is 2/639540
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 836,765 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(836,765) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(836,765) x common factors =1 x 1 = 1
LCM(836,765) = ( 836 × 765 ) / 1
LCM(836,765) = 639540 / 1
LCM(836,765) = 639540
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 6074/836, 7448/765?
Answer: GCF of Numerators as per given numbers 6074/836, 7448/765 is
GCF of Numerators i.e. for 6074,7448 is 2
LCM of denominators i.e. for 836,765 is 639540.
Thus, GCF of Fractions is 2/639540.Finally, GCF of Fractions for 6074/836, 7448/765 is 2/639540.