GCF of 290/485, 3627/767
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 290/485, 3627/767 i.e 1/371995 easily. The following is the detailed procedure to determine the greatest common factor of fractions 290/485, 3627/767.
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 290/485,3627/767?
Given fractions are 290/485,3627/767
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 290/485,3627/767, numerators are 290,3627
Denominators are 485,767
The GCF of 290,3627 is 1 .
LCM of 485,767 is 371995.
The greatest common factor of 290/485,3627/767 = [GCF of 290,3627]/[LCM of 485,767]= 1/371995
Therefore, the GCF of 290/485,3627/767 is 1/371995.
To find the highest common factor of 290,3627, we have to find the factors of both numbers and list the highest common factor.
The factors of 290 are 1, 2, 5, 10, 29, 58, 145, 290
The factors of 3627 are 1, 3, 9, 13, 31, 39, 93, 117, 279, 403, 1209, 3627
The HCF of 290,3627 is 1.
Lets's calculate GCF of 290,3627
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 290,3627 By Matching Biggest Common Factor Method
Now, list down the factors of 290
:1,2,5,10,29,58,145,290
Now, list down the factors of 3627
:1,3,9,13,31,39,93,117,279,403,1209,3627
Greatest Common Factor
We found the factors 290,3627 . The biggest common factor number is the GCF number.
So the greatest common factor 290,3627 is 1.
Lets's calculate LCM of 485,767
Given numbers has no common factors except 1. So, there LCM is their product i.e 371995
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/371995
Therefore, the GCF of Fractions 290/485,3627/767 is 1/371995
Least Common Multiple of 485,767 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 485,767 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(485,767) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(485,767) x common factors =1 x 1 = 1
LCM(485,767) = ( 485 × 767 ) / 1
LCM(485,767) = 371995 / 1
LCM(485,767) = 371995
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FAQs on GCF of Fractions of 290/485, 3627/767
1. What is the HCF of 290,3627?
The HCF of 290,3627 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 290/485, 3627/767?
Answer: GCF of Numerators as per given numbers 290/485, 3627/767 is
GCF of Numerators i.e. for 290,3627 is 1
LCM of denominators i.e. for 485,767 is 371995.
Thus, GCF of Fractions is 1/371995.Finally, GCF of Fractions for 290/485, 3627/767 is 1/371995.