GCF of 1077/817, 3741/913
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1077/817, 3741/913 i.e 3/745921 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1077/817, 3741/913.
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 1077/817,3741/913?
Given fractions are 1077/817,3741/913
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 1077/817,3741/913, numerators are 1077,3741
Denominators are 817,913
The GCF of 1077,3741 is 3 .
LCM of 817,913 is 745921.
The greatest common factor of 1077/817,3741/913 = [GCF of 1077,3741]/[LCM of 817,913]= 3/745921
Therefore, the GCF of 1077/817,3741/913 is 3/745921.
To find the highest common factor of 1077,3741, we have to find the factors of both numbers and list the highest common factor.
The factors of 1077 are 1, 3, 359, 1077
The factors of 3741 are 1, 3, 29, 43, 87, 129, 1247, 3741
The HCF of 1077,3741 is 3.
Lets's calculate GCF of 1077,3741
| 3 | 1077, 3741 |
| 359, 1247 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1077,3741 By Matching Biggest Common Factor Method
Now, list down the factors of 1077
:1,3,359,1077
Now, list down the factors of 3741
:1,3,29,43,87,129,1247,3741
Greatest Common Factor
We found the factors 1077,3741 . The biggest common factor number is the GCF number.
So the greatest common factor 1077,3741 is 3.
Lets's calculate LCM of 817,913
Given numbers has no common factors except 1. So, there LCM is their product i.e 745921
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/745921
Therefore, the GCF of Fractions 1077/817,3741/913 is 3/745921
Least Common Multiple of 817,913 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 817,913 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(817,913) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(817,913) x common factors =1 x 1 = 1
LCM(817,913) = ( 817 × 913 ) / 1
LCM(817,913) = 745921 / 1
LCM(817,913) = 745921
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FAQs on GCF of Fractions of 1077/817, 3741/913
1. What is the HCF of 1077,3741?
The HCF of 1077,3741 is 3
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 1077/817, 3741/913?
Answer: GCF of Numerators as per given numbers 1077/817, 3741/913 is
GCF of Numerators i.e. for 1077,3741 is 3
LCM of denominators i.e. for 817,913 is 745921.
Thus, GCF of Fractions is 3/745921.Finally, GCF of Fractions for 1077/817, 3741/913 is 3/745921.