Use our free GCF of Fractions Calculator tool to compute the GCF of 121/424, 715/951 i.e 11/403224 easily. The following is the detailed procedure to determine the greatest common factor of fractions 121/424, 715/951.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 121/424,715/951
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 121/424,715/951, numerators are 121,715
Denominators are 424,951
The GCF of 121,715 is 11 .
LCM of 424,951 is 403224.
The greatest common factor of 121/424,715/951 = [GCF of 121,715]/[LCM of 424,951]= 11/403224
Therefore, the GCF of 121/424,715/951 is 11/403224.
To find the highest common factor of 121,715, we have to find the factors of both numbers and list the highest common factor.
The factors of 121 are 1, 11, 121
The factors of 715 are 1, 5, 11, 13, 55, 65, 143, 715
The HCF of 121,715 is 11.
Lets's calculate GCF of 121,715
11 | 121, 715 |
11, 65 |
∴ So the GCF of the given numbers is 11 = 11
Now, list down the factors of 121
:1,11,121
Now, list down the factors of 715
:1,5,11,13,55,65,143,715
Greatest Common Factor
We found the factors 121,715 . The biggest common factor number is the GCF number.
So the greatest common factor 121,715 is 11.
Lets's calculate LCM of 424,951
Given numbers has no common factors except 1. So, there LCM is their product i.e 403224
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/403224
Therefore, the GCF of Fractions 121/424,715/951 is 11/403224
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 424,951 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(424,951) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(424,951) x common factors =1 x 1 = 1
LCM(424,951) = ( 424 × 951 ) / 1
LCM(424,951) = 403224 / 1
LCM(424,951) = 403224
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 121,715?
The HCF of 121,715 is 11
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 121/424, 715/951?
Answer: GCF of Numerators as per given numbers 121/424, 715/951 is
GCF of Numerators i.e. for 121,715 is 11
LCM of denominators i.e. for 424,951 is 403224.
Thus, GCF of Fractions is 11/403224.Finally, GCF of Fractions for 121/424, 715/951 is 11/403224.