GCF of 5497/628, 6687/2694
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5497/628, 6687/2694 i.e 1/845916 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5497/628, 6687/2694.
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 5497/628,6687/2694?
Given fractions are 5497/628,6687/2694
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 5497/628,6687/2694, numerators are 5497,6687
Denominators are 628,2694
The GCF of 5497,6687 is 1 .
LCM of 628,2694 is 845916.
The greatest common factor of 5497/628,6687/2694 = [GCF of 5497,6687]/[LCM of 628,2694]= 1/845916
Therefore, the GCF of 5497/628,6687/2694 is 1/845916.
To find the highest common factor of 5497,6687, we have to find the factors of both numbers and list the highest common factor.
The factors of 5497 are 1, 23, 239, 5497
The factors of 6687 are 1, 3, 9, 743, 2229, 6687
The HCF of 5497,6687 is 1.
Lets's calculate GCF of 5497,6687
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5497,6687 By Matching Biggest Common Factor Method
Now, list down the factors of 5497
:1,23,239,5497
Now, list down the factors of 6687
:1,3,9,743,2229,6687
Greatest Common Factor
We found the factors 5497,6687 . The biggest common factor number is the GCF number.
So the greatest common factor 5497,6687 is 1.
Lets's calculate LCM of 628,2694
| 2 | 628, 2694 |
| 314, 1347 |
∴ So the LCM of the given numbers is 2 x 314 x 1347 = 845916
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/845916
Therefore, the GCF of Fractions 5497/628,6687/2694 is 1/845916
Least Common Multiple of 628,2694 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 628,2694 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(628,2694) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(628,2694) x common factors =2 x 1 = 2
LCM(628,2694) = ( 628 × 2694 ) / 2
LCM(628,2694) = 1691832 / 2
LCM(628,2694) = 845916
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FAQs on GCF of Fractions of 5497/628, 6687/2694
1. What is the HCF of 5497,6687?
The HCF of 5497,6687 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 5497/628, 6687/2694?
Answer: GCF of Numerators as per given numbers 5497/628, 6687/2694 is
GCF of Numerators i.e. for 5497,6687 is 1
LCM of denominators i.e. for 628,2694 is 845916.
Thus, GCF of Fractions is 1/845916.Finally, GCF of Fractions for 5497/628, 6687/2694 is 1/845916.