GCF of 571/208, 769/149
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 571/208, 769/149 i.e 1/30992 easily. The following is the detailed procedure to determine the greatest common factor of fractions 571/208, 769/149.
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 571/208,769/149?
Given fractions are 571/208,769/149
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 571/208,769/149, numerators are 571,769
Denominators are 208,149
The GCF of 571,769 is 1 .
LCM of 208,149 is 30992.
The greatest common factor of 571/208,769/149 = [GCF of 571,769]/[LCM of 208,149]= 1/30992
Therefore, the GCF of 571/208,769/149 is 1/30992.
To find the highest common factor of 571,769, 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 769 are 1, 769
The HCF of 571,769 is 1.
Lets's calculate GCF of 571,769
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 571,769 By Matching Biggest Common Factor Method
Now, list down the factors of 571
:1,571
Now, list down the factors of 769
:1,769
Greatest Common Factor
We found the factors 571,769 . The biggest common factor number is the GCF number.
So the greatest common factor 571,769 is 1.
Lets's calculate LCM of 208,149
Given numbers has no common factors except 1. So, there LCM is their product i.e 30992
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30992
Therefore, the GCF of Fractions 571/208,769/149 is 1/30992
Least Common Multiple of 208,149 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 208,149 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(208,149) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(208,149) x common factors =1 x 1 = 1
LCM(208,149) = ( 208 × 149 ) / 1
LCM(208,149) = 30992 / 1
LCM(208,149) = 30992
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FAQs on GCF of Fractions of 571/208, 769/149
1. What is the HCF of 571,769?
The HCF of 571,769 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 571/208, 769/149?
Answer: GCF of Numerators as per given numbers 571/208, 769/149 is
GCF of Numerators i.e. for 571,769 is 1
LCM of denominators i.e. for 208,149 is 30992.
Thus, GCF of Fractions is 1/30992.Finally, GCF of Fractions for 571/208, 769/149 is 1/30992.