Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 671/685,653/651,592/151
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 671,653,592
Greatest Common Factor of Numerators i.e. GCF of 671,653,592 is 1 .
LCM of Denominators means LCM of 685,651,151 as per the given fractions.
LCM of 685,651,151 is 67336185 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 671,653,592
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 671
List of positive integer factors of 671 that divides 671 without a remainder.
1,11,61,671
Factors of 653
List of positive integer factors of 653 that divides 653 without a remainder.
1,653
Factors of 592
List of positive integer factors of 592 that divides 592 without a remainder.
1,2,4,8,16,37,74,148,296,592
Greatest Common Factor
We found the factors 671,653,592 . The biggest common factor number is the GCF number.
So the greatest common factor 671,653,592 is 1.
Lets's calculate LCM of 685,651,151
Given numbers has no common factors except 1. So, there LCM is their product i.e 67336185
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/67336185
Therefore, the GCF of Fractions 671/685,653/651,592/151 is 1/67336185
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 685,651,151 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(685,651,151) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(685,651,151) x common factors =1 x 1 = 1
LCM(685,651,151) = ( 685 × 651 × 151 ) / 1
LCM(685,651,151) = 67336185 / 1
LCM(685,651,151) = 67336185
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 671/685, 653/651, 592/151?
Answer: GCF of Numerators as per given numbers 671/685, 653/651, 592/151 is
GCF of Numerators i.e. for 671,653,592 is 1
LCM of denominators i.e. for 685,651,151 is 67336185.
Thus, GCF of Fractions is 1/67336185.Finally, GCF of Fractions for 671/685, 653/651, 592/151 is 1/67336185.