GCF of 2681/734, 1237/9764
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2681/734, 1237/9764 i.e 1/3583388 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2681/734, 1237/9764.
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 2681/734,1237/9764?
Given fractions are 2681/734,1237/9764
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 2681/734,1237/9764, numerators are 2681,1237
Denominators are 734,9764
The GCF of 2681,1237 is 1 .
LCM of 734,9764 is 3583388.
The greatest common factor of 2681/734,1237/9764 = [GCF of 2681,1237]/[LCM of 734,9764]= 1/3583388
Therefore, the GCF of 2681/734,1237/9764 is 1/3583388.
To find the highest common factor of 2681,1237, we have to find the factors of both numbers and list the highest common factor.
The factors of 2681 are 1, 7, 383, 2681
The factors of 1237 are 1, 1237
The HCF of 2681,1237 is 1.
Lets's calculate GCF of 2681,1237
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2681,1237 By Matching Biggest Common Factor Method
Now, list down the factors of 2681
:1,7,383,2681
Now, list down the factors of 1237
:1,1237
Greatest Common Factor
We found the factors 2681,1237 . The biggest common factor number is the GCF number.
So the greatest common factor 2681,1237 is 1.
Lets's calculate LCM of 734,9764
| 2 | 734, 9764 |
| 367, 4882 |
∴ So the LCM of the given numbers is 2 x 367 x 4882 = 3583388
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3583388
Therefore, the GCF of Fractions 2681/734,1237/9764 is 1/3583388
Least Common Multiple of 734,9764 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 734,9764 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(734,9764) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(734,9764) x common factors =2 x 1 = 2
LCM(734,9764) = ( 734 × 9764 ) / 2
LCM(734,9764) = 7166776 / 2
LCM(734,9764) = 3583388
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FAQs on GCF of Fractions of 2681/734, 1237/9764
1. What is the HCF of 2681,1237?
The HCF of 2681,1237 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 2681/734, 1237/9764?
Answer: GCF of Numerators as per given numbers 2681/734, 1237/9764 is
GCF of Numerators i.e. for 2681,1237 is 1
LCM of denominators i.e. for 734,9764 is 3583388.
Thus, GCF of Fractions is 1/3583388.Finally, GCF of Fractions for 2681/734, 1237/9764 is 1/3583388.