Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 781/77,674/2038
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 781,674
Greatest Common Factor of Numerators i.e. GCF of 781,674 is 1 .
LCM of Denominators means LCM of 77,2038 as per the given fractions.
LCM of 77,2038 is 156926 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 781,674
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 781
List of positive integer factors of 781 that divides 781 without a remainder.
1,11,71,781
Factors of 674
List of positive integer factors of 674 that divides 674 without a remainder.
1,2,337,674
Greatest Common Factor
We found the factors 781,674 . The biggest common factor number is the GCF number.
So the greatest common factor 781,674 is 1.
Lets's calculate LCM of 77,2038
Given numbers has no common factors except 1. So, there LCM is their product i.e 156926
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/156926
Therefore, the GCF of Fractions 781/77,674/2038 is 1/156926
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 77,2038 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,2038) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(77,2038) x common factors =1 x 1 = 1
LCM(77,2038) = ( 77 × 2038 ) / 1
LCM(77,2038) = 156926 / 1
LCM(77,2038) = 156926
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 781/77, 674/2038?
Answer: GCF of Numerators as per given numbers 781/77, 674/2038 is
GCF of Numerators i.e. for 781,674 is 1
LCM of denominators i.e. for 77,2038 is 156926.
Thus, GCF of Fractions is 1/156926.Finally, GCF of Fractions for 781/77, 674/2038 is 1/156926.