GCF of 2813/267, 3384/6397
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2813/267, 3384/6397 i.e 1/1707999 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2813/267, 3384/6397.
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 2813/267,3384/6397?
Given fractions are 2813/267,3384/6397
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 2813/267,3384/6397, numerators are 2813,3384
Denominators are 267,6397
The GCF of 2813,3384 is 1 .
LCM of 267,6397 is 1707999.
The greatest common factor of 2813/267,3384/6397 = [GCF of 2813,3384]/[LCM of 267,6397]= 1/1707999
Therefore, the GCF of 2813/267,3384/6397 is 1/1707999.
To find the highest common factor of 2813,3384, we have to find the factors of both numbers and list the highest common factor.
The factors of 2813 are 1, 29, 97, 2813
The factors of 3384 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 47, 72, 94, 141, 188, 282, 376, 423, 564, 846, 1128, 1692, 3384
The HCF of 2813,3384 is 1.
Lets's calculate GCF of 2813,3384
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2813,3384 By Matching Biggest Common Factor Method
Now, list down the factors of 2813
:1,29,97,2813
Now, list down the factors of 3384
:1,2,3,4,6,8,9,12,18,24,36,47,72,94,141,188,282,376,423,564,846,1128,1692,3384
Greatest Common Factor
We found the factors 2813,3384 . The biggest common factor number is the GCF number.
So the greatest common factor 2813,3384 is 1.
Lets's calculate LCM of 267,6397
Given numbers has no common factors except 1. So, there LCM is their product i.e 1707999
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1707999
Therefore, the GCF of Fractions 2813/267,3384/6397 is 1/1707999
Least Common Multiple of 267,6397 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 267,6397 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(267,6397) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(267,6397) x common factors =1 x 1 = 1
LCM(267,6397) = ( 267 × 6397 ) / 1
LCM(267,6397) = 1707999 / 1
LCM(267,6397) = 1707999
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FAQs on GCF of Fractions of 2813/267, 3384/6397
1. What is the HCF of 2813,3384?
The HCF of 2813,3384 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 2813/267, 3384/6397?
Answer: GCF of Numerators as per given numbers 2813/267, 3384/6397 is
GCF of Numerators i.e. for 2813,3384 is 1
LCM of denominators i.e. for 267,6397 is 1707999.
Thus, GCF of Fractions is 1/1707999.Finally, GCF of Fractions for 2813/267, 3384/6397 is 1/1707999.