GCF of 2617/209, 5952/281
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2617/209, 5952/281 i.e 1/58729 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2617/209, 5952/281.
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 2617/209,5952/281?
Given fractions are 2617/209,5952/281
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 2617/209,5952/281, numerators are 2617,5952
Denominators are 209,281
The GCF of 2617,5952 is 1 .
LCM of 209,281 is 58729.
The greatest common factor of 2617/209,5952/281 = [GCF of 2617,5952]/[LCM of 209,281]= 1/58729
Therefore, the GCF of 2617/209,5952/281 is 1/58729.
To find the highest common factor of 2617,5952, we have to find the factors of both numbers and list the highest common factor.
The factors of 2617 are 1, 2617
The factors of 5952 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 31, 32, 48, 62, 64, 93, 96, 124, 186, 192, 248, 372, 496, 744, 992, 1488, 1984, 2976, 5952
The HCF of 2617,5952 is 1.
Lets's calculate GCF of 2617,5952
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2617,5952 By Matching Biggest Common Factor Method
Now, list down the factors of 2617
:1,2617
Now, list down the factors of 5952
:1,2,3,4,6,8,12,16,24,31,32,48,62,64,93,96,124,186,192,248,372,496,744,992,1488,1984,2976,5952
Greatest Common Factor
We found the factors 2617,5952 . The biggest common factor number is the GCF number.
So the greatest common factor 2617,5952 is 1.
Lets's calculate LCM of 209,281
Given numbers has no common factors except 1. So, there LCM is their product i.e 58729
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/58729
Therefore, the GCF of Fractions 2617/209,5952/281 is 1/58729
Least Common Multiple of 209,281 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 209,281 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(209,281) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(209,281) x common factors =1 x 1 = 1
LCM(209,281) = ( 209 × 281 ) / 1
LCM(209,281) = 58729 / 1
LCM(209,281) = 58729
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FAQs on GCF of Fractions of 2617/209, 5952/281
1. What is the HCF of 2617,5952?
The HCF of 2617,5952 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 2617/209, 5952/281?
Answer: GCF of Numerators as per given numbers 2617/209, 5952/281 is
GCF of Numerators i.e. for 2617,5952 is 1
LCM of denominators i.e. for 209,281 is 58729.
Thus, GCF of Fractions is 1/58729.Finally, GCF of Fractions for 2617/209, 5952/281 is 1/58729.