Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 687/640,7732/895
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 687,7732
Greatest Common Factor of Numerators i.e. GCF of 687,7732 is 1 .
LCM of Denominators means LCM of 640,895 as per the given fractions.
LCM of 640,895 is 114560 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 687,7732
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 687
List of positive integer factors of 687 that divides 687 without a remainder.
1,3,229,687
Factors of 7732
List of positive integer factors of 7732 that divides 7732 without a remainder.
1,2,4,1933,3866,7732
Greatest Common Factor
We found the factors 687,7732 . The biggest common factor number is the GCF number.
So the greatest common factor 687,7732 is 1.
Lets's calculate LCM of 640,895
5 | 640, 895 |
128, 179 |
∴ So the LCM of the given numbers is 5 x 128 x 179 = 114560
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/114560
Therefore, the GCF of Fractions 687/640,7732/895 is 1/114560
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 640,895 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(640,895) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(640,895) x common factors =5 x 1 = 5
LCM(640,895) = ( 640 × 895 ) / 5
LCM(640,895) = 572800 / 5
LCM(640,895) = 114560
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 687/640, 7732/895?
Answer: GCF of Numerators as per given numbers 687/640, 7732/895 is
GCF of Numerators i.e. for 687,7732 is 1
LCM of denominators i.e. for 640,895 is 114560.
Thus, GCF of Fractions is 1/114560.Finally, GCF of Fractions for 687/640, 7732/895 is 1/114560.