Use our free GCF of Fractions Calculator tool to compute the GCF of 97/162, 85/547, 901/735 i.e 1/21710430 easily. The following is the detailed procedure to determine the greatest common factor of fractions 97/162, 85/547, 901/735.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 97/162,85/547,901/735
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 97/162,85/547,901/735, numerators are 97,85,901
Denominators are 162,547,735
The GCF of 97,85,901 is 1 .
LCM of 162,547,735 is 21710430.
The greatest common factor of 97/162,85/547,901/735 = [GCF of 97,85,901]/[LCM of 162,547,735]= 1/21710430
Therefore, the GCF of 97/162,85/547,901/735 is 1/21710430.
To find the highest common factor of 97,85,901, we have to find the factors of both numbers and list the highest common factor.
The factors of 97 are 1, 97
The factors of 85 are 1, 5, 17, 85
The factors of 901 are 1, 17, 53, 901
The HCF of 97,85,901 is 1.
Lets's calculate GCF of 97,85,901
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 97
:1,97
Now, list down the factors of 85
:1,5,17,85
Now, list down the factors of 901
:1,17,53,901
Greatest Common Factor
We found the factors 97,85,901 . The biggest common factor number is the GCF number.
So the greatest common factor 97,85,901 is 1.
Lets's calculate LCM of 162,547,735
3 | 162, 547, 735 |
54, 547, 245 |
∴ So the LCM of the given numbers is 3 x 54 x 547 x 245 = 21710430
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21710430
Therefore, the GCF of Fractions 97/162,85/547,901/735 is 1/21710430
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 162,547,735 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(162,547,735) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(162,547,735) x common factors =1 x 3 = 3
LCM(162,547,735) = ( 162 × 547 × 735 ) / 3
LCM(162,547,735) = 65131290 / 3
LCM(162,547,735) = 21710430
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 97,85,901?
The HCF of 97,85,901 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 97/162, 85/547, 901/735?
Answer: GCF of Numerators as per given numbers 97/162, 85/547, 901/735 is
GCF of Numerators i.e. for 97,85,901 is 1
LCM of denominators i.e. for 162,547,735 is 21710430.
Thus, GCF of Fractions is 1/21710430.Finally, GCF of Fractions for 97/162, 85/547, 901/735 is 1/21710430.