GCF of 2847/800, 6572/2703
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2847/800, 6572/2703 i.e 1/2162400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2847/800, 6572/2703.
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 2847/800,6572/2703?
Given fractions are 2847/800,6572/2703
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 2847/800,6572/2703, numerators are 2847,6572
Denominators are 800,2703
The GCF of 2847,6572 is 1 .
LCM of 800,2703 is 2162400.
The greatest common factor of 2847/800,6572/2703 = [GCF of 2847,6572]/[LCM of 800,2703]= 1/2162400
Therefore, the GCF of 2847/800,6572/2703 is 1/2162400.
To find the highest common factor of 2847,6572, we have to find the factors of both numbers and list the highest common factor.
The factors of 2847 are 1, 3, 13, 39, 73, 219, 949, 2847
The factors of 6572 are 1, 2, 4, 31, 53, 62, 106, 124, 212, 1643, 3286, 6572
The HCF of 2847,6572 is 1.
Lets's calculate GCF of 2847,6572
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2847,6572 By Matching Biggest Common Factor Method
Now, list down the factors of 2847
:1,3,13,39,73,219,949,2847
Now, list down the factors of 6572
:1,2,4,31,53,62,106,124,212,1643,3286,6572
Greatest Common Factor
We found the factors 2847,6572 . The biggest common factor number is the GCF number.
So the greatest common factor 2847,6572 is 1.
Lets's calculate LCM of 800,2703
Given numbers has no common factors except 1. So, there LCM is their product i.e 2162400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2162400
Therefore, the GCF of Fractions 2847/800,6572/2703 is 1/2162400
Least Common Multiple of 800,2703 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 800,2703 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(800,2703) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(800,2703) x common factors =1 x 1 = 1
LCM(800,2703) = ( 800 × 2703 ) / 1
LCM(800,2703) = 2162400 / 1
LCM(800,2703) = 2162400
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FAQs on GCF of Fractions of 2847/800, 6572/2703
1. What is the HCF of 2847,6572?
The HCF of 2847,6572 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 2847/800, 6572/2703?
Answer: GCF of Numerators as per given numbers 2847/800, 6572/2703 is
GCF of Numerators i.e. for 2847,6572 is 1
LCM of denominators i.e. for 800,2703 is 2162400.
Thus, GCF of Fractions is 1/2162400.Finally, GCF of Fractions for 2847/800, 6572/2703 is 1/2162400.