Use our free GCF of Fractions Calculator tool to compute the GCF of 954/851, 937/531 i.e 1/451881 easily. The following is the detailed procedure to determine the greatest common factor of fractions 954/851, 937/531.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 954/851,937/531
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 954/851,937/531, numerators are 954,937
Denominators are 851,531
The GCF of 954,937 is 1 .
LCM of 851,531 is 451881.
The greatest common factor of 954/851,937/531 = [GCF of 954,937]/[LCM of 851,531]= 1/451881
Therefore, the GCF of 954/851,937/531 is 1/451881.
To find the highest common factor of 954,937, we have to find the factors of both numbers and list the highest common factor.
The factors of 954 are 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
The factors of 937 are 1, 937
The HCF of 954,937 is 1.
Lets's calculate GCF of 954,937
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 954
:1,2,3,6,9,18,53,106,159,318,477,954
Now, list down the factors of 937
:1,937
Greatest Common Factor
We found the factors 954,937 . The biggest common factor number is the GCF number.
So the greatest common factor 954,937 is 1.
Lets's calculate LCM of 851,531
Given numbers has no common factors except 1. So, there LCM is their product i.e 451881
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/451881
Therefore, the GCF of Fractions 954/851,937/531 is 1/451881
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 851,531 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(851,531) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(851,531) x common factors =1 x 1 = 1
LCM(851,531) = ( 851 × 531 ) / 1
LCM(851,531) = 451881 / 1
LCM(851,531) = 451881
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 954,937?
The HCF of 954,937 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 954/851, 937/531?
Answer: GCF of Numerators as per given numbers 954/851, 937/531 is
GCF of Numerators i.e. for 954,937 is 1
LCM of denominators i.e. for 851,531 is 451881.
Thus, GCF of Fractions is 1/451881.Finally, GCF of Fractions for 954/851, 937/531 is 1/451881.