GCF of 635/771, 5102/589
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 635/771, 5102/589 i.e 1/454119 easily. The following is the detailed procedure to determine the greatest common factor of fractions 635/771, 5102/589.
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 635/771,5102/589?
Given fractions are 635/771,5102/589
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 635/771,5102/589, numerators are 635,5102
Denominators are 771,589
The GCF of 635,5102 is 1 .
LCM of 771,589 is 454119.
The greatest common factor of 635/771,5102/589 = [GCF of 635,5102]/[LCM of 771,589]= 1/454119
Therefore, the GCF of 635/771,5102/589 is 1/454119.
To find the highest common factor of 635,5102, we have to find the factors of both numbers and list the highest common factor.
The factors of 635 are 1, 5, 127, 635
The factors of 5102 are 1, 2, 2551, 5102
The HCF of 635,5102 is 1.
Lets's calculate GCF of 635,5102
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 635,5102 By Matching Biggest Common Factor Method
Now, list down the factors of 635
:1,5,127,635
Now, list down the factors of 5102
:1,2,2551,5102
Greatest Common Factor
We found the factors 635,5102 . The biggest common factor number is the GCF number.
So the greatest common factor 635,5102 is 1.
Lets's calculate LCM of 771,589
Given numbers has no common factors except 1. So, there LCM is their product i.e 454119
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/454119
Therefore, the GCF of Fractions 635/771,5102/589 is 1/454119
Least Common Multiple of 771,589 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 771,589 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(771,589) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(771,589) x common factors =1 x 1 = 1
LCM(771,589) = ( 771 × 589 ) / 1
LCM(771,589) = 454119 / 1
LCM(771,589) = 454119
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FAQs on GCF of Fractions of 635/771, 5102/589
1. What is the HCF of 635,5102?
The HCF of 635,5102 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 635/771, 5102/589?
Answer: GCF of Numerators as per given numbers 635/771, 5102/589 is
GCF of Numerators i.e. for 635,5102 is 1
LCM of denominators i.e. for 771,589 is 454119.
Thus, GCF of Fractions is 1/454119.Finally, GCF of Fractions for 635/771, 5102/589 is 1/454119.