GCF of 2857/802, 6882/2941
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2857/802, 6882/2941 i.e 1/2358682 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2857/802, 6882/2941.
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 2857/802,6882/2941?
Given fractions are 2857/802,6882/2941
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 2857/802,6882/2941, numerators are 2857,6882
Denominators are 802,2941
The GCF of 2857,6882 is 1 .
LCM of 802,2941 is 2358682.
The greatest common factor of 2857/802,6882/2941 = [GCF of 2857,6882]/[LCM of 802,2941]= 1/2358682
Therefore, the GCF of 2857/802,6882/2941 is 1/2358682.
To find the highest common factor of 2857,6882, we have to find the factors of both numbers and list the highest common factor.
The factors of 2857 are 1, 2857
The factors of 6882 are 1, 2, 3, 6, 31, 37, 62, 74, 93, 111, 186, 222, 1147, 2294, 3441, 6882
The HCF of 2857,6882 is 1.
Lets's calculate GCF of 2857,6882
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2857,6882 By Matching Biggest Common Factor Method
Now, list down the factors of 2857
:1,2857
Now, list down the factors of 6882
:1,2,3,6,31,37,62,74,93,111,186,222,1147,2294,3441,6882
Greatest Common Factor
We found the factors 2857,6882 . The biggest common factor number is the GCF number.
So the greatest common factor 2857,6882 is 1.
Lets's calculate LCM of 802,2941
Given numbers has no common factors except 1. So, there LCM is their product i.e 2358682
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2358682
Therefore, the GCF of Fractions 2857/802,6882/2941 is 1/2358682
Least Common Multiple of 802,2941 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 802,2941 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(802,2941) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(802,2941) x common factors =1 x 1 = 1
LCM(802,2941) = ( 802 × 2941 ) / 1
LCM(802,2941) = 2358682 / 1
LCM(802,2941) = 2358682
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FAQs on GCF of Fractions of 2857/802, 6882/2941
1. What is the HCF of 2857,6882?
The HCF of 2857,6882 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 2857/802, 6882/2941?
Answer: GCF of Numerators as per given numbers 2857/802, 6882/2941 is
GCF of Numerators i.e. for 2857,6882 is 1
LCM of denominators i.e. for 802,2941 is 2358682.
Thus, GCF of Fractions is 1/2358682.Finally, GCF of Fractions for 2857/802, 6882/2941 is 1/2358682.