GCF of 2759/315, 6913/4091
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2759/315, 6913/4091 i.e 31/1288665 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2759/315, 6913/4091.
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 2759/315,6913/4091?
Given fractions are 2759/315,6913/4091
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 2759/315,6913/4091, numerators are 2759,6913
Denominators are 315,4091
The GCF of 2759,6913 is 31 .
LCM of 315,4091 is 1288665.
The greatest common factor of 2759/315,6913/4091 = [GCF of 2759,6913]/[LCM of 315,4091]= 31/1288665
Therefore, the GCF of 2759/315,6913/4091 is 31/1288665.
To find the highest common factor of 2759,6913, we have to find the factors of both numbers and list the highest common factor.
The factors of 2759 are 1, 31, 89, 2759
The factors of 6913 are 1, 31, 223, 6913
The HCF of 2759,6913 is 31.
Lets's calculate GCF of 2759,6913
| 31 | 2759, 6913 |
| 89, 223 |
∴ So the GCF of the given numbers is 31 = 31
Greatest Common Factor of 2759,6913 By Matching Biggest Common Factor Method
Now, list down the factors of 2759
:1,31,89,2759
Now, list down the factors of 6913
:1,31,223,6913
Greatest Common Factor
We found the factors 2759,6913 . The biggest common factor number is the GCF number.
So the greatest common factor 2759,6913 is 31.
Lets's calculate LCM of 315,4091
Given numbers has no common factors except 1. So, there LCM is their product i.e 1288665
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 31/1288665
Therefore, the GCF of Fractions 2759/315,6913/4091 is 31/1288665
Least Common Multiple of 315,4091 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 315,4091 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(315,4091) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(315,4091) x common factors =1 x 1 = 1
LCM(315,4091) = ( 315 × 4091 ) / 1
LCM(315,4091) = 1288665 / 1
LCM(315,4091) = 1288665
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FAQs on GCF of Fractions of 2759/315, 6913/4091
1. What is the HCF of 2759,6913?
The HCF of 2759,6913 is 31
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 2759/315, 6913/4091?
Answer: GCF of Numerators as per given numbers 2759/315, 6913/4091 is
GCF of Numerators i.e. for 2759,6913 is 31
LCM of denominators i.e. for 315,4091 is 1288665.
Thus, GCF of Fractions is 31/1288665.Finally, GCF of Fractions for 2759/315, 6913/4091 is 31/1288665.