GCF of 3969/617, 1377/913
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3969/617, 1377/913 i.e 81/563321 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3969/617, 1377/913.
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 3969/617,1377/913?
Given fractions are 3969/617,1377/913
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 3969/617,1377/913, numerators are 3969,1377
Denominators are 617,913
The GCF of 3969,1377 is 81 .
LCM of 617,913 is 563321.
The greatest common factor of 3969/617,1377/913 = [GCF of 3969,1377]/[LCM of 617,913]= 81/563321
Therefore, the GCF of 3969/617,1377/913 is 81/563321.
To find the highest common factor of 3969,1377, we have to find the factors of both numbers and list the highest common factor.
The factors of 3969 are 1, 3, 7, 9, 21, 27, 49, 63, 81, 147, 189, 441, 567, 1323, 3969
The factors of 1377 are 1, 3, 9, 17, 27, 51, 81, 153, 459, 1377
The HCF of 3969,1377 is 81.
Lets's calculate GCF of 3969,1377
| 3 | 3969, 1377 |
| 3 | 1323, 459 |
| 3 | 441, 153 |
| 3 | 147, 51 |
| 49, 17 |
∴ So the GCF of the given numbers is 3 x 3 x 3 x 3 = 81
Greatest Common Factor of 3969,1377 By Matching Biggest Common Factor Method
Now, list down the factors of 3969
:1,3,7,9,21,27,49,63,81,147,189,441,567,1323,3969
Now, list down the factors of 1377
:1,3,9,17,27,51,81,153,459,1377
Greatest Common Factor
We found the factors 3969,1377 . The biggest common factor number is the GCF number.
So the greatest common factor 3969,1377 is 81.
Lets's calculate LCM of 617,913
Given numbers has no common factors except 1. So, there LCM is their product i.e 563321
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 81/563321
Therefore, the GCF of Fractions 3969/617,1377/913 is 81/563321
Least Common Multiple of 617,913 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 617,913 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(617,913) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(617,913) x common factors =1 x 1 = 1
LCM(617,913) = ( 617 × 913 ) / 1
LCM(617,913) = 563321 / 1
LCM(617,913) = 563321
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FAQs on GCF of Fractions of 3969/617, 1377/913
1. What is the HCF of 3969,1377?
The HCF of 3969,1377 is 81
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 3969/617, 1377/913?
Answer: GCF of Numerators as per given numbers 3969/617, 1377/913 is
GCF of Numerators i.e. for 3969,1377 is 81
LCM of denominators i.e. for 617,913 is 563321.
Thus, GCF of Fractions is 81/563321.Finally, GCF of Fractions for 3969/617, 1377/913 is 81/563321.