GCF of 2867/49, 8516/536
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2867/49, 8516/536 i.e 1/26264 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2867/49, 8516/536.
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 2867/49,8516/536?
Given fractions are 2867/49,8516/536
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 2867/49,8516/536, numerators are 2867,8516
Denominators are 49,536
The GCF of 2867,8516 is 1 .
LCM of 49,536 is 26264.
The greatest common factor of 2867/49,8516/536 = [GCF of 2867,8516]/[LCM of 49,536]= 1/26264
Therefore, the GCF of 2867/49,8516/536 is 1/26264.
To find the highest common factor of 2867,8516, we have to find the factors of both numbers and list the highest common factor.
The factors of 2867 are 1, 47, 61, 2867
The factors of 8516 are 1, 2, 4, 2129, 4258, 8516
The HCF of 2867,8516 is 1.
Lets's calculate GCF of 2867,8516
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2867,8516 By Matching Biggest Common Factor Method
Now, list down the factors of 2867
:1,47,61,2867
Now, list down the factors of 8516
:1,2,4,2129,4258,8516
Greatest Common Factor
We found the factors 2867,8516 . The biggest common factor number is the GCF number.
So the greatest common factor 2867,8516 is 1.
Lets's calculate LCM of 49,536
Given numbers has no common factors except 1. So, there LCM is their product i.e 26264
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/26264
Therefore, the GCF of Fractions 2867/49,8516/536 is 1/26264
Least Common Multiple of 49,536 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 49,536 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(49,536) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(49,536) x common factors =1 x 1 = 1
LCM(49,536) = ( 49 × 536 ) / 1
LCM(49,536) = 26264 / 1
LCM(49,536) = 26264
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2867/49, 8516/536
1. What is the HCF of 2867,8516?
The HCF of 2867,8516 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 2867/49, 8516/536?
Answer: GCF of Numerators as per given numbers 2867/49, 8516/536 is
GCF of Numerators i.e. for 2867,8516 is 1
LCM of denominators i.e. for 49,536 is 26264.
Thus, GCF of Fractions is 1/26264.Finally, GCF of Fractions for 2867/49, 8516/536 is 1/26264.