GCF of 2117/813, 2817/9744
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2117/813, 2817/9744 i.e 1/2640624 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2117/813, 2817/9744.
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 2117/813,2817/9744?
Given fractions are 2117/813,2817/9744
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 2117/813,2817/9744, numerators are 2117,2817
Denominators are 813,9744
The GCF of 2117,2817 is 1 .
LCM of 813,9744 is 2640624.
The greatest common factor of 2117/813,2817/9744 = [GCF of 2117,2817]/[LCM of 813,9744]= 1/2640624
Therefore, the GCF of 2117/813,2817/9744 is 1/2640624.
To find the highest common factor of 2117,2817, we have to find the factors of both numbers and list the highest common factor.
The factors of 2117 are 1, 29, 73, 2117
The factors of 2817 are 1, 3, 9, 313, 939, 2817
The HCF of 2117,2817 is 1.
Lets's calculate GCF of 2117,2817
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2117,2817 By Matching Biggest Common Factor Method
Now, list down the factors of 2117
:1,29,73,2117
Now, list down the factors of 2817
:1,3,9,313,939,2817
Greatest Common Factor
We found the factors 2117,2817 . The biggest common factor number is the GCF number.
So the greatest common factor 2117,2817 is 1.
Lets's calculate LCM of 813,9744
| 3 | 813, 9744 |
| 271, 3248 |
∴ So the LCM of the given numbers is 3 x 271 x 3248 = 2640624
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2640624
Therefore, the GCF of Fractions 2117/813,2817/9744 is 1/2640624
Least Common Multiple of 813,9744 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 813,9744 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(813,9744) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(813,9744) x common factors =3 x 1 = 3
LCM(813,9744) = ( 813 × 9744 ) / 3
LCM(813,9744) = 7921872 / 3
LCM(813,9744) = 2640624
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FAQs on GCF of Fractions of 2117/813, 2817/9744
1. What is the HCF of 2117,2817?
The HCF of 2117,2817 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 2117/813, 2817/9744?
Answer: GCF of Numerators as per given numbers 2117/813, 2817/9744 is
GCF of Numerators i.e. for 2117,2817 is 1
LCM of denominators i.e. for 813,9744 is 2640624.
Thus, GCF of Fractions is 1/2640624.Finally, GCF of Fractions for 2117/813, 2817/9744 is 1/2640624.