GCF of 97/53, 306/58, 401/377
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 97/53, 306/58, 401/377 i.e 1/39962 easily. The following is the detailed procedure to determine the greatest common factor of fractions 97/53, 306/58, 401/377.
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 97/53,306/58,401/377?
Given fractions are 97/53,306/58,401/377
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 97/53,306/58,401/377, numerators are 97,306,401
Denominators are 53,58,377
The GCF of 97,306,401 is 1 .
LCM of 53,58,377 is 39962.
The greatest common factor of 97/53,306/58,401/377 = [GCF of 97,306,401]/[LCM of 53,58,377]= 1/39962
Therefore, the GCF of 97/53,306/58,401/377 is 1/39962.
To find the highest common factor of 97,306,401, 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 306 are 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
The factors of 401 are 1, 401
The HCF of 97,306,401 is 1.
Lets's calculate GCF of 97,306,401
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 97,306,401 By Matching Biggest Common Factor Method
Now, list down the factors of 97
:1,97
Now, list down the factors of 306
:1,2,3,6,9,17,18,34,51,102,153,306
Now, list down the factors of 401
:1,401
Greatest Common Factor
We found the factors 97,306,401 . The biggest common factor number is the GCF number.
So the greatest common factor 97,306,401 is 1.
Lets's calculate LCM of 53,58,377
| 29 | 53, 58, 377 |
| 53, 2, 13 |
∴ So the LCM of the given numbers is 29 x 53 x 2 x 13 = 39962
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/39962
Therefore, the GCF of Fractions 97/53,306/58,401/377 is 1/39962
Least Common Multiple of 53,58,377 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 53,58,377 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(53,58,377) = 1
common factors(in case of two or more numbers have common factors) = 29
GCF(53,58,377) x common factors =1 x 29 = 29
LCM(53,58,377) = ( 53 × 58 × 377 ) / 29
LCM(53,58,377) = 1158898 / 29
LCM(53,58,377) = 39962
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FAQs on GCF of Fractions of 97/53, 306/58, 401/377
1. What is the HCF of 97,306,401?
The HCF of 97,306,401 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 97/53, 306/58, 401/377?
Answer: GCF of Numerators as per given numbers 97/53, 306/58, 401/377 is
GCF of Numerators i.e. for 97,306,401 is 1
LCM of denominators i.e. for 53,58,377 is 39962.
Thus, GCF of Fractions is 1/39962.Finally, GCF of Fractions for 97/53, 306/58, 401/377 is 1/39962.