Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 440/158,1128/637
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 440,1128
Greatest Common Factor of Numerators i.e. GCF of 440,1128 is 8 .
LCM of Denominators means LCM of 158,637 as per the given fractions.
LCM of 158,637 is 100646 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 440,1128
2 | 440, 1128 |
2 | 220, 564 |
2 | 110, 282 |
55, 141 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Factors of 440
List of positive integer factors of 440 that divides 440 without a remainder.
1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440
Factors of 1128
List of positive integer factors of 1128 that divides 1128 without a remainder.
1,2,3,4,6,8,12,24,47,94,141,188,282,376,564,1128
Greatest Common Factor
We found the factors 440,1128 . The biggest common factor number is the GCF number.
So the greatest common factor 440,1128 is 8.
Lets's calculate LCM of 158,637
Given numbers has no common factors except 1. So, there LCM is their product i.e 100646
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/100646
Therefore, the GCF of Fractions 440/158,1128/637 is 8/100646
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 158,637 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(158,637) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(158,637) x common factors =1 x 1 = 1
LCM(158,637) = ( 158 × 637 ) / 1
LCM(158,637) = 100646 / 1
LCM(158,637) = 100646
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 440/158, 1128/637?
Answer: GCF of Numerators as per given numbers 440/158, 1128/637 is
GCF of Numerators i.e. for 440,1128 is 8
LCM of denominators i.e. for 158,637 is 100646.
Thus, GCF of Fractions is 8/100646.Finally, GCF of Fractions for 440/158, 1128/637 is 8/100646.