GCF of 3393/688, 4962/2695
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3393/688, 4962/2695 i.e 3/1854160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3393/688, 4962/2695.
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 3393/688,4962/2695?
Given fractions are 3393/688,4962/2695
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 3393/688,4962/2695, numerators are 3393,4962
Denominators are 688,2695
The GCF of 3393,4962 is 3 .
LCM of 688,2695 is 1854160.
The greatest common factor of 3393/688,4962/2695 = [GCF of 3393,4962]/[LCM of 688,2695]= 3/1854160
Therefore, the GCF of 3393/688,4962/2695 is 3/1854160.
To find the highest common factor of 3393,4962, we have to find the factors of both numbers and list the highest common factor.
The factors of 3393 are 1, 3, 9, 13, 29, 39, 87, 117, 261, 377, 1131, 3393
The factors of 4962 are 1, 2, 3, 6, 827, 1654, 2481, 4962
The HCF of 3393,4962 is 3.
Lets's calculate GCF of 3393,4962
| 3 | 3393, 4962 |
| 1131, 1654 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3393,4962 By Matching Biggest Common Factor Method
Now, list down the factors of 3393
:1,3,9,13,29,39,87,117,261,377,1131,3393
Now, list down the factors of 4962
:1,2,3,6,827,1654,2481,4962
Greatest Common Factor
We found the factors 3393,4962 . The biggest common factor number is the GCF number.
So the greatest common factor 3393,4962 is 3.
Lets's calculate LCM of 688,2695
Given numbers has no common factors except 1. So, there LCM is their product i.e 1854160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1854160
Therefore, the GCF of Fractions 3393/688,4962/2695 is 3/1854160
Least Common Multiple of 688,2695 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 688,2695 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(688,2695) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(688,2695) x common factors =1 x 1 = 1
LCM(688,2695) = ( 688 × 2695 ) / 1
LCM(688,2695) = 1854160 / 1
LCM(688,2695) = 1854160
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FAQs on GCF of Fractions of 3393/688, 4962/2695
1. What is the HCF of 3393,4962?
The HCF of 3393,4962 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 3393/688, 4962/2695?
Answer: GCF of Numerators as per given numbers 3393/688, 4962/2695 is
GCF of Numerators i.e. for 3393,4962 is 3
LCM of denominators i.e. for 688,2695 is 1854160.
Thus, GCF of Fractions is 3/1854160.Finally, GCF of Fractions for 3393/688, 4962/2695 is 3/1854160.