Use our free GCF of Fractions Calculator tool to compute the GCF of 985/123, 541/547 i.e 1/67281 easily. The following is the detailed procedure to determine the greatest common factor of fractions 985/123, 541/547.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 985/123,541/547
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 985/123,541/547, numerators are 985,541
Denominators are 123,547
The GCF of 985,541 is 1 .
LCM of 123,547 is 67281.
The greatest common factor of 985/123,541/547 = [GCF of 985,541]/[LCM of 123,547]= 1/67281
Therefore, the GCF of 985/123,541/547 is 1/67281.
To find the highest common factor of 985,541, we have to find the factors of both numbers and list the highest common factor.
The factors of 985 are 1, 5, 197, 985
The factors of 541 are 1, 541
The HCF of 985,541 is 1.
Lets's calculate GCF of 985,541
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 985
:1,5,197,985
Now, list down the factors of 541
:1,541
Greatest Common Factor
We found the factors 985,541 . The biggest common factor number is the GCF number.
So the greatest common factor 985,541 is 1.
Lets's calculate LCM of 123,547
Given numbers has no common factors except 1. So, there LCM is their product i.e 67281
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/67281
Therefore, the GCF of Fractions 985/123,541/547 is 1/67281
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 123,547 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(123,547) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(123,547) x common factors =1 x 1 = 1
LCM(123,547) = ( 123 × 547 ) / 1
LCM(123,547) = 67281 / 1
LCM(123,547) = 67281
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 985,541?
The HCF of 985,541 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 985/123, 541/547?
Answer: GCF of Numerators as per given numbers 985/123, 541/547 is
GCF of Numerators i.e. for 985,541 is 1
LCM of denominators i.e. for 123,547 is 67281.
Thus, GCF of Fractions is 1/67281.Finally, GCF of Fractions for 985/123, 541/547 is 1/67281.