GCF of 1977/171, 6973/405
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1977/171, 6973/405 i.e 1/7695 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1977/171, 6973/405.
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 1977/171,6973/405?
Given fractions are 1977/171,6973/405
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 1977/171,6973/405, numerators are 1977,6973
Denominators are 171,405
The GCF of 1977,6973 is 1 .
LCM of 171,405 is 7695.
The greatest common factor of 1977/171,6973/405 = [GCF of 1977,6973]/[LCM of 171,405]= 1/7695
Therefore, the GCF of 1977/171,6973/405 is 1/7695.
To find the highest common factor of 1977,6973, we have to find the factors of both numbers and list the highest common factor.
The factors of 1977 are 1, 3, 659, 1977
The factors of 6973 are 1, 19, 367, 6973
The HCF of 1977,6973 is 1.
Lets's calculate GCF of 1977,6973
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1977,6973 By Matching Biggest Common Factor Method
Now, list down the factors of 1977
:1,3,659,1977
Now, list down the factors of 6973
:1,19,367,6973
Greatest Common Factor
We found the factors 1977,6973 . The biggest common factor number is the GCF number.
So the greatest common factor 1977,6973 is 1.
Lets's calculate LCM of 171,405
| 3 | 171, 405 |
| 3 | 57, 135 |
| 19, 45 |
∴ So the LCM of the given numbers is 3 x 3 x 19 x 45 = 7695
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7695
Therefore, the GCF of Fractions 1977/171,6973/405 is 1/7695
Least Common Multiple of 171,405 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 171,405 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(171,405) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(171,405) x common factors =9 x 1 = 9
LCM(171,405) = ( 171 × 405 ) / 9
LCM(171,405) = 69255 / 9
LCM(171,405) = 7695
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FAQs on GCF of Fractions of 1977/171, 6973/405
1. What is the HCF of 1977,6973?
The HCF of 1977,6973 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 1977/171, 6973/405?
Answer: GCF of Numerators as per given numbers 1977/171, 6973/405 is
GCF of Numerators i.e. for 1977,6973 is 1
LCM of denominators i.e. for 171,405 is 7695.
Thus, GCF of Fractions is 1/7695.Finally, GCF of Fractions for 1977/171, 6973/405 is 1/7695.