Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1168/77,1134/677
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 1168,1134
Greatest Common Factor of Numerators i.e. GCF of 1168,1134 is 2 .
LCM of Denominators means LCM of 77,677 as per the given fractions.
LCM of 77,677 is 52129 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1168,1134
2 | 1168, 1134 |
584, 567 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 1168
List of positive integer factors of 1168 that divides 1168 without a remainder.
1,2,4,8,16,73,146,292,584,1168
Factors of 1134
List of positive integer factors of 1134 that divides 1134 without a remainder.
1,2,3,6,7,9,14,18,21,27,42,54,63,81,126,162,189,378,567,1134
Greatest Common Factor
We found the factors 1168,1134 . The biggest common factor number is the GCF number.
So the greatest common factor 1168,1134 is 2.
Lets's calculate LCM of 77,677
Given numbers has no common factors except 1. So, there LCM is their product i.e 52129
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/52129
Therefore, the GCF of Fractions 1168/77,1134/677 is 2/52129
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 77,677 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,677) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(77,677) x common factors =1 x 1 = 1
LCM(77,677) = ( 77 × 677 ) / 1
LCM(77,677) = 52129 / 1
LCM(77,677) = 52129
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 1168/77, 1134/677?
Answer: GCF of Numerators as per given numbers 1168/77, 1134/677 is
GCF of Numerators i.e. for 1168,1134 is 2
LCM of denominators i.e. for 77,677 is 52129.
Thus, GCF of Fractions is 2/52129.Finally, GCF of Fractions for 1168/77, 1134/677 is 2/52129.