GCF of 2711/538, 7760/3692
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2711/538, 7760/3692 i.e 1/993148 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2711/538, 7760/3692.
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 2711/538,7760/3692?
Given fractions are 2711/538,7760/3692
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 2711/538,7760/3692, numerators are 2711,7760
Denominators are 538,3692
The GCF of 2711,7760 is 1 .
LCM of 538,3692 is 993148.
The greatest common factor of 2711/538,7760/3692 = [GCF of 2711,7760]/[LCM of 538,3692]= 1/993148
Therefore, the GCF of 2711/538,7760/3692 is 1/993148.
To find the highest common factor of 2711,7760, we have to find the factors of both numbers and list the highest common factor.
The factors of 2711 are 1, 2711
The factors of 7760 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 97, 194, 388, 485, 776, 970, 1552, 1940, 3880, 7760
The HCF of 2711,7760 is 1.
Lets's calculate GCF of 2711,7760
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2711,7760 By Matching Biggest Common Factor Method
Now, list down the factors of 2711
:1,2711
Now, list down the factors of 7760
:1,2,4,5,8,10,16,20,40,80,97,194,388,485,776,970,1552,1940,3880,7760
Greatest Common Factor
We found the factors 2711,7760 . The biggest common factor number is the GCF number.
So the greatest common factor 2711,7760 is 1.
Lets's calculate LCM of 538,3692
| 2 | 538, 3692 |
| 269, 1846 |
∴ So the LCM of the given numbers is 2 x 269 x 1846 = 993148
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/993148
Therefore, the GCF of Fractions 2711/538,7760/3692 is 1/993148
Least Common Multiple of 538,3692 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 538,3692 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(538,3692) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(538,3692) x common factors =2 x 1 = 2
LCM(538,3692) = ( 538 × 3692 ) / 2
LCM(538,3692) = 1986296 / 2
LCM(538,3692) = 993148
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FAQs on GCF of Fractions of 2711/538, 7760/3692
1. What is the HCF of 2711,7760?
The HCF of 2711,7760 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 2711/538, 7760/3692?
Answer: GCF of Numerators as per given numbers 2711/538, 7760/3692 is
GCF of Numerators i.e. for 2711,7760 is 1
LCM of denominators i.e. for 538,3692 is 993148.
Thus, GCF of Fractions is 1/993148.Finally, GCF of Fractions for 2711/538, 7760/3692 is 1/993148.