GCF of 571/307, 2775/5065
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 571/307, 2775/5065 i.e 1/1554955 easily. The following is the detailed procedure to determine the greatest common factor of fractions 571/307, 2775/5065.
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 571/307,2775/5065?
Given fractions are 571/307,2775/5065
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 571/307,2775/5065, numerators are 571,2775
Denominators are 307,5065
The GCF of 571,2775 is 1 .
LCM of 307,5065 is 1554955.
The greatest common factor of 571/307,2775/5065 = [GCF of 571,2775]/[LCM of 307,5065]= 1/1554955
Therefore, the GCF of 571/307,2775/5065 is 1/1554955.
To find the highest common factor of 571,2775, we have to find the factors of both numbers and list the highest common factor.
The factors of 571 are 1, 571
The factors of 2775 are 1, 3, 5, 15, 25, 37, 75, 111, 185, 555, 925, 2775
The HCF of 571,2775 is 1.
Lets's calculate GCF of 571,2775
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 571,2775 By Matching Biggest Common Factor Method
Now, list down the factors of 571
:1,571
Now, list down the factors of 2775
:1,3,5,15,25,37,75,111,185,555,925,2775
Greatest Common Factor
We found the factors 571,2775 . The biggest common factor number is the GCF number.
So the greatest common factor 571,2775 is 1.
Lets's calculate LCM of 307,5065
Given numbers has no common factors except 1. So, there LCM is their product i.e 1554955
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1554955
Therefore, the GCF of Fractions 571/307,2775/5065 is 1/1554955
Least Common Multiple of 307,5065 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 307,5065 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(307,5065) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(307,5065) x common factors =1 x 1 = 1
LCM(307,5065) = ( 307 × 5065 ) / 1
LCM(307,5065) = 1554955 / 1
LCM(307,5065) = 1554955
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FAQs on GCF of Fractions of 571/307, 2775/5065
1. What is the HCF of 571,2775?
The HCF of 571,2775 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 571/307, 2775/5065?
Answer: GCF of Numerators as per given numbers 571/307, 2775/5065 is
GCF of Numerators i.e. for 571,2775 is 1
LCM of denominators i.e. for 307,5065 is 1554955.
Thus, GCF of Fractions is 1/1554955.Finally, GCF of Fractions for 571/307, 2775/5065 is 1/1554955.