GCF of 2438/688, 9734/9779
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2438/688, 9734/9779 i.e 2/6727952 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2438/688, 9734/9779.
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 2438/688,9734/9779?
Given fractions are 2438/688,9734/9779
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 2438/688,9734/9779, numerators are 2438,9734
Denominators are 688,9779
The GCF of 2438,9734 is 2 .
LCM of 688,9779 is 6727952.
The greatest common factor of 2438/688,9734/9779 = [GCF of 2438,9734]/[LCM of 688,9779]= 2/6727952
Therefore, the GCF of 2438/688,9734/9779 is 2/6727952.
To find the highest common factor of 2438,9734, we have to find the factors of both numbers and list the highest common factor.
The factors of 2438 are 1, 2, 23, 46, 53, 106, 1219, 2438
The factors of 9734 are 1, 2, 31, 62, 157, 314, 4867, 9734
The HCF of 2438,9734 is 2.
Lets's calculate GCF of 2438,9734
| 2 | 2438, 9734 |
| 1219, 4867 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2438,9734 By Matching Biggest Common Factor Method
Now, list down the factors of 2438
:1,2,23,46,53,106,1219,2438
Now, list down the factors of 9734
:1,2,31,62,157,314,4867,9734
Greatest Common Factor
We found the factors 2438,9734 . The biggest common factor number is the GCF number.
So the greatest common factor 2438,9734 is 2.
Lets's calculate LCM of 688,9779
Given numbers has no common factors except 1. So, there LCM is their product i.e 6727952
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6727952
Therefore, the GCF of Fractions 2438/688,9734/9779 is 2/6727952
Least Common Multiple of 688,9779 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 688,9779 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(688,9779) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(688,9779) x common factors =1 x 1 = 1
LCM(688,9779) = ( 688 × 9779 ) / 1
LCM(688,9779) = 6727952 / 1
LCM(688,9779) = 6727952
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FAQs on GCF of Fractions of 2438/688, 9734/9779
1. What is the HCF of 2438,9734?
The HCF of 2438,9734 is 2
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 2438/688, 9734/9779?
Answer: GCF of Numerators as per given numbers 2438/688, 9734/9779 is
GCF of Numerators i.e. for 2438,9734 is 2
LCM of denominators i.e. for 688,9779 is 6727952.
Thus, GCF of Fractions is 2/6727952.Finally, GCF of Fractions for 2438/688, 9734/9779 is 2/6727952.