Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 952/630,209/165,527/347
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 952,209,527
Greatest Common Factor of Numerators i.e. GCF of 952,209,527 is 1 .
LCM of Denominators means LCM of 630,165,347 as per the given fractions.
LCM of 630,165,347 is 2404710 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 952,209,527
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 952
List of positive integer factors of 952 that divides 952 without a remainder.
1,2,4,7,8,14,17,28,34,56,68,119,136,238,476,952
Factors of 209
List of positive integer factors of 209 that divides 209 without a remainder.
1,11,19,209
Factors of 527
List of positive integer factors of 527 that divides 527 without a remainder.
1,17,31,527
Greatest Common Factor
We found the factors 952,209,527 . The biggest common factor number is the GCF number.
So the greatest common factor 952,209,527 is 1.
Lets's calculate LCM of 630,165,347
3 | 630, 165, 347 |
5 | 210, 55, 347 |
42, 11, 347 |
∴ So the LCM of the given numbers is 3 x 5 x 42 x 11 x 347 = 2404710
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2404710
Therefore, the GCF of Fractions 952/630,209/165,527/347 is 1/2404710
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 630,165,347 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(630,165,347) = 1
common factors(in case of two or more numbers have common factors) = 15
GCF(630,165,347) x common factors =1 x 15 = 15
LCM(630,165,347) = ( 630 × 165 × 347 ) / 15
LCM(630,165,347) = 36070650 / 15
LCM(630,165,347) = 2404710
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 952/630, 209/165, 527/347?
Answer: GCF of Numerators as per given numbers 952/630, 209/165, 527/347 is
GCF of Numerators i.e. for 952,209,527 is 1
LCM of denominators i.e. for 630,165,347 is 2404710.
Thus, GCF of Fractions is 1/2404710.Finally, GCF of Fractions for 952/630, 209/165, 527/347 is 1/2404710.