GCF of 2715/865, 5238/9043
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2715/865, 5238/9043 i.e 3/7822195 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2715/865, 5238/9043.
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 2715/865,5238/9043?
Given fractions are 2715/865,5238/9043
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 2715/865,5238/9043, numerators are 2715,5238
Denominators are 865,9043
The GCF of 2715,5238 is 3 .
LCM of 865,9043 is 7822195.
The greatest common factor of 2715/865,5238/9043 = [GCF of 2715,5238]/[LCM of 865,9043]= 3/7822195
Therefore, the GCF of 2715/865,5238/9043 is 3/7822195.
To find the highest common factor of 2715,5238, we have to find the factors of both numbers and list the highest common factor.
The factors of 2715 are 1, 3, 5, 15, 181, 543, 905, 2715
The factors of 5238 are 1, 2, 3, 6, 9, 18, 27, 54, 97, 194, 291, 582, 873, 1746, 2619, 5238
The HCF of 2715,5238 is 3.
Lets's calculate GCF of 2715,5238
| 3 | 2715, 5238 |
| 905, 1746 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2715,5238 By Matching Biggest Common Factor Method
Now, list down the factors of 2715
:1,3,5,15,181,543,905,2715
Now, list down the factors of 5238
:1,2,3,6,9,18,27,54,97,194,291,582,873,1746,2619,5238
Greatest Common Factor
We found the factors 2715,5238 . The biggest common factor number is the GCF number.
So the greatest common factor 2715,5238 is 3.
Lets's calculate LCM of 865,9043
Given numbers has no common factors except 1. So, there LCM is their product i.e 7822195
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/7822195
Therefore, the GCF of Fractions 2715/865,5238/9043 is 3/7822195
Least Common Multiple of 865,9043 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 865,9043 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(865,9043) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(865,9043) x common factors =1 x 1 = 1
LCM(865,9043) = ( 865 × 9043 ) / 1
LCM(865,9043) = 7822195 / 1
LCM(865,9043) = 7822195
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FAQs on GCF of Fractions of 2715/865, 5238/9043
1. What is the HCF of 2715,5238?
The HCF of 2715,5238 is 3
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 2715/865, 5238/9043?
Answer: GCF of Numerators as per given numbers 2715/865, 5238/9043 is
GCF of Numerators i.e. for 2715,5238 is 3
LCM of denominators i.e. for 865,9043 is 7822195.
Thus, GCF of Fractions is 3/7822195.Finally, GCF of Fractions for 2715/865, 5238/9043 is 3/7822195.