GCF of 5771/419, 2720/532
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5771/419, 2720/532 i.e 1/222908 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5771/419, 2720/532.
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 5771/419,2720/532?
Given fractions are 5771/419,2720/532
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 5771/419,2720/532, numerators are 5771,2720
Denominators are 419,532
The GCF of 5771,2720 is 1 .
LCM of 419,532 is 222908.
The greatest common factor of 5771/419,2720/532 = [GCF of 5771,2720]/[LCM of 419,532]= 1/222908
Therefore, the GCF of 5771/419,2720/532 is 1/222908.
To find the highest common factor of 5771,2720, we have to find the factors of both numbers and list the highest common factor.
The factors of 5771 are 1, 29, 199, 5771
The factors of 2720 are 1, 2, 4, 5, 8, 10, 16, 17, 20, 32, 34, 40, 68, 80, 85, 136, 160, 170, 272, 340, 544, 680, 1360, 2720
The HCF of 5771,2720 is 1.
Lets's calculate GCF of 5771,2720
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5771,2720 By Matching Biggest Common Factor Method
Now, list down the factors of 5771
:1,29,199,5771
Now, list down the factors of 2720
:1,2,4,5,8,10,16,17,20,32,34,40,68,80,85,136,160,170,272,340,544,680,1360,2720
Greatest Common Factor
We found the factors 5771,2720 . The biggest common factor number is the GCF number.
So the greatest common factor 5771,2720 is 1.
Lets's calculate LCM of 419,532
Given numbers has no common factors except 1. So, there LCM is their product i.e 222908
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/222908
Therefore, the GCF of Fractions 5771/419,2720/532 is 1/222908
Least Common Multiple of 419,532 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 419,532 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(419,532) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(419,532) x common factors =1 x 1 = 1
LCM(419,532) = ( 419 × 532 ) / 1
LCM(419,532) = 222908 / 1
LCM(419,532) = 222908
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FAQs on GCF of Fractions of 5771/419, 2720/532
1. What is the HCF of 5771,2720?
The HCF of 5771,2720 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 5771/419, 2720/532?
Answer: GCF of Numerators as per given numbers 5771/419, 2720/532 is
GCF of Numerators i.e. for 5771,2720 is 1
LCM of denominators i.e. for 419,532 is 222908.
Thus, GCF of Fractions is 1/222908.Finally, GCF of Fractions for 5771/419, 2720/532 is 1/222908.