Use our free GCF of Fractions Calculator tool to compute the GCF of 955/715, 1918/1694 i.e 1/110110 easily. The following is the detailed procedure to determine the greatest common factor of fractions 955/715, 1918/1694.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 955/715,1918/1694
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 955/715,1918/1694, numerators are 955,1918
Denominators are 715,1694
The GCF of 955,1918 is 1 .
LCM of 715,1694 is 110110.
The greatest common factor of 955/715,1918/1694 = [GCF of 955,1918]/[LCM of 715,1694]= 1/110110
Therefore, the GCF of 955/715,1918/1694 is 1/110110.
To find the highest common factor of 955,1918, we have to find the factors of both numbers and list the highest common factor.
The factors of 955 are 1, 5, 191, 955
The factors of 1918 are 1, 2, 7, 14, 137, 274, 959, 1918
The HCF of 955,1918 is 1.
Lets's calculate GCF of 955,1918
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 955
:1,5,191,955
Now, list down the factors of 1918
:1,2,7,14,137,274,959,1918
Greatest Common Factor
We found the factors 955,1918 . The biggest common factor number is the GCF number.
So the greatest common factor 955,1918 is 1.
Lets's calculate LCM of 715,1694
11 | 715, 1694 |
65, 154 |
∴ So the LCM of the given numbers is 11 x 65 x 154 = 110110
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/110110
Therefore, the GCF of Fractions 955/715,1918/1694 is 1/110110
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 715,1694 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(715,1694) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(715,1694) x common factors =11 x 1 = 11
LCM(715,1694) = ( 715 × 1694 ) / 11
LCM(715,1694) = 1211210 / 11
LCM(715,1694) = 110110
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 955,1918?
The HCF of 955,1918 is 1
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 955/715, 1918/1694?
Answer: GCF of Numerators as per given numbers 955/715, 1918/1694 is
GCF of Numerators i.e. for 955,1918 is 1
LCM of denominators i.e. for 715,1694 is 110110.
Thus, GCF of Fractions is 1/110110.Finally, GCF of Fractions for 955/715, 1918/1694 is 1/110110.