GCF of 8747/734, 2006/2756
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8747/734, 2006/2756 i.e 1/1011452 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8747/734, 2006/2756.
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 8747/734,2006/2756?
Given fractions are 8747/734,2006/2756
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 8747/734,2006/2756, numerators are 8747,2006
Denominators are 734,2756
The GCF of 8747,2006 is 1 .
LCM of 734,2756 is 1011452.
The greatest common factor of 8747/734,2006/2756 = [GCF of 8747,2006]/[LCM of 734,2756]= 1/1011452
Therefore, the GCF of 8747/734,2006/2756 is 1/1011452.
To find the highest common factor of 8747,2006, we have to find the factors of both numbers and list the highest common factor.
The factors of 8747 are 1, 8747
The factors of 2006 are 1, 2, 17, 34, 59, 118, 1003, 2006
The HCF of 8747,2006 is 1.
Lets's calculate GCF of 8747,2006
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8747,2006 By Matching Biggest Common Factor Method
Now, list down the factors of 8747
:1,8747
Now, list down the factors of 2006
:1,2,17,34,59,118,1003,2006
Greatest Common Factor
We found the factors 8747,2006 . The biggest common factor number is the GCF number.
So the greatest common factor 8747,2006 is 1.
Lets's calculate LCM of 734,2756
| 2 | 734, 2756 |
| 367, 1378 |
∴ So the LCM of the given numbers is 2 x 367 x 1378 = 1011452
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1011452
Therefore, the GCF of Fractions 8747/734,2006/2756 is 1/1011452
Least Common Multiple of 734,2756 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 734,2756 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(734,2756) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(734,2756) x common factors =2 x 1 = 2
LCM(734,2756) = ( 734 × 2756 ) / 2
LCM(734,2756) = 2022904 / 2
LCM(734,2756) = 1011452
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FAQs on GCF of Fractions of 8747/734, 2006/2756
1. What is the HCF of 8747,2006?
The HCF of 8747,2006 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 8747/734, 2006/2756?
Answer: GCF of Numerators as per given numbers 8747/734, 2006/2756 is
GCF of Numerators i.e. for 8747,2006 is 1
LCM of denominators i.e. for 734,2756 is 1011452.
Thus, GCF of Fractions is 1/1011452.Finally, GCF of Fractions for 8747/734, 2006/2756 is 1/1011452.