GCF of 5049/418, 6687/734
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5049/418, 6687/734 i.e 9/153406 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5049/418, 6687/734.
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 5049/418,6687/734?
Given fractions are 5049/418,6687/734
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 5049/418,6687/734, numerators are 5049,6687
Denominators are 418,734
The GCF of 5049,6687 is 9 .
LCM of 418,734 is 153406.
The greatest common factor of 5049/418,6687/734 = [GCF of 5049,6687]/[LCM of 418,734]= 9/153406
Therefore, the GCF of 5049/418,6687/734 is 9/153406.
To find the highest common factor of 5049,6687, we have to find the factors of both numbers and list the highest common factor.
The factors of 5049 are 1, 3, 9, 11, 17, 27, 33, 51, 99, 153, 187, 297, 459, 561, 1683, 5049
The factors of 6687 are 1, 3, 9, 743, 2229, 6687
The HCF of 5049,6687 is 9.
Lets's calculate GCF of 5049,6687
| 3 | 5049, 6687 |
| 3 | 1683, 2229 |
| 561, 743 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 5049,6687 By Matching Biggest Common Factor Method
Now, list down the factors of 5049
:1,3,9,11,17,27,33,51,99,153,187,297,459,561,1683,5049
Now, list down the factors of 6687
:1,3,9,743,2229,6687
Greatest Common Factor
We found the factors 5049,6687 . The biggest common factor number is the GCF number.
So the greatest common factor 5049,6687 is 9.
Lets's calculate LCM of 418,734
| 2 | 418, 734 |
| 209, 367 |
∴ So the LCM of the given numbers is 2 x 209 x 367 = 153406
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/153406
Therefore, the GCF of Fractions 5049/418,6687/734 is 9/153406
Least Common Multiple of 418,734 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 418,734 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(418,734) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(418,734) x common factors =2 x 1 = 2
LCM(418,734) = ( 418 × 734 ) / 2
LCM(418,734) = 306812 / 2
LCM(418,734) = 153406
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FAQs on GCF of Fractions of 5049/418, 6687/734
1. What is the HCF of 5049,6687?
The HCF of 5049,6687 is 9
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 5049/418, 6687/734?
Answer: GCF of Numerators as per given numbers 5049/418, 6687/734 is
GCF of Numerators i.e. for 5049,6687 is 9
LCM of denominators i.e. for 418,734 is 153406.
Thus, GCF of Fractions is 9/153406.Finally, GCF of Fractions for 5049/418, 6687/734 is 9/153406.