GCF of 97/187, 691/575, 159/221
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 97/187, 691/575, 159/221 i.e 1/1397825 easily. The following is the detailed procedure to determine the greatest common factor of fractions 97/187, 691/575, 159/221.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 97/187,691/575,159/221?
Given fractions are 97/187,691/575,159/221
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 97/187,691/575,159/221, numerators are 97,691,159
Denominators are 187,575,221
The GCF of 97,691,159 is 1 .
LCM of 187,575,221 is 1397825.
The greatest common factor of 97/187,691/575,159/221 = [GCF of 97,691,159]/[LCM of 187,575,221]= 1/1397825
Therefore, the GCF of 97/187,691/575,159/221 is 1/1397825.
To find the highest common factor of 97,691,159, 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 691 are 1, 691
The factors of 159 are 1, 3, 53, 159
The HCF of 97,691,159 is 1.
Lets's calculate GCF of 97,691,159
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 97,691,159 By Matching Biggest Common Factor Method
Now, list down the factors of 97
:1,97
Now, list down the factors of 691
:1,691
Now, list down the factors of 159
:1,3,53,159
Greatest Common Factor
We found the factors 97,691,159 . The biggest common factor number is the GCF number.
So the greatest common factor 97,691,159 is 1.
Lets's calculate LCM of 187,575,221
| 17 | 187, 575, 221 |
| 11, 575, 13 |
∴ So the LCM of the given numbers is 17 x 11 x 575 x 13 = 1397825
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1397825
Therefore, the GCF of Fractions 97/187,691/575,159/221 is 1/1397825
Least Common Multiple of 187,575,221 with GCF Formula
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 187,575,221 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(187,575,221) = 1
common factors(in case of two or more numbers have common factors) = 17
GCF(187,575,221) x common factors =1 x 17 = 17
LCM(187,575,221) = ( 187 × 575 × 221 ) / 17
LCM(187,575,221) = 23763025 / 17
LCM(187,575,221) = 1397825
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FAQs on GCF of Fractions of 97/187, 691/575, 159/221
1. What is the HCF of 97,691,159?
The HCF of 97,691,159 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 97/187, 691/575, 159/221?
Answer: GCF of Numerators as per given numbers 97/187, 691/575, 159/221 is
GCF of Numerators i.e. for 97,691,159 is 1
LCM of denominators i.e. for 187,575,221 is 1397825.
Thus, GCF of Fractions is 1/1397825.Finally, GCF of Fractions for 97/187, 691/575, 159/221 is 1/1397825.