Use our free GCF of Fractions Calculator tool to compute the GCF of 879/688, 153/939 i.e 3/646032 easily. The following is the detailed procedure to determine the greatest common factor of fractions 879/688, 153/939.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 879/688,153/939
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 879/688,153/939, numerators are 879,153
Denominators are 688,939
The GCF of 879,153 is 3 .
LCM of 688,939 is 646032.
The greatest common factor of 879/688,153/939 = [GCF of 879,153]/[LCM of 688,939]= 3/646032
Therefore, the GCF of 879/688,153/939 is 3/646032.
To find the highest common factor of 879,153, we have to find the factors of both numbers and list the highest common factor.
The factors of 879 are 1, 3, 293, 879
The factors of 153 are 1, 3, 9, 17, 51, 153
The HCF of 879,153 is 3.
Lets's calculate GCF of 879,153
3 | 879, 153 |
293, 51 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 879
:1,3,293,879
Now, list down the factors of 153
:1,3,9,17,51,153
Greatest Common Factor
We found the factors 879,153 . The biggest common factor number is the GCF number.
So the greatest common factor 879,153 is 3.
Lets's calculate LCM of 688,939
Given numbers has no common factors except 1. So, there LCM is their product i.e 646032
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/646032
Therefore, the GCF of Fractions 879/688,153/939 is 3/646032
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 688,939 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(688,939) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(688,939) x common factors =1 x 1 = 1
LCM(688,939) = ( 688 × 939 ) / 1
LCM(688,939) = 646032 / 1
LCM(688,939) = 646032
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 879,153?
The HCF of 879,153 is 3
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. 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.
4. What is the GCF of Fractions for 879/688, 153/939?
Answer: GCF of Numerators as per given numbers 879/688, 153/939 is
GCF of Numerators i.e. for 879,153 is 3
LCM of denominators i.e. for 688,939 is 646032.
Thus, GCF of Fractions is 3/646032.Finally, GCF of Fractions for 879/688, 153/939 is 3/646032.