GCF of 5754/657, 5390/9426
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5754/657, 5390/9426 i.e 14/2064294 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5754/657, 5390/9426.
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 5754/657,5390/9426?
Given fractions are 5754/657,5390/9426
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 5754/657,5390/9426, numerators are 5754,5390
Denominators are 657,9426
The GCF of 5754,5390 is 14 .
LCM of 657,9426 is 2064294.
The greatest common factor of 5754/657,5390/9426 = [GCF of 5754,5390]/[LCM of 657,9426]= 14/2064294
Therefore, the GCF of 5754/657,5390/9426 is 14/2064294.
To find the highest common factor of 5754,5390, we have to find the factors of both numbers and list the highest common factor.
The factors of 5754 are 1, 2, 3, 6, 7, 14, 21, 42, 137, 274, 411, 822, 959, 1918, 2877, 5754
The factors of 5390 are 1, 2, 5, 7, 10, 11, 14, 22, 35, 49, 55, 70, 77, 98, 110, 154, 245, 385, 490, 539, 770, 1078, 2695, 5390
The HCF of 5754,5390 is 14.
Lets's calculate GCF of 5754,5390
| 2 | 5754, 5390 |
| 7 | 2877, 2695 |
| 411, 385 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 5754,5390 By Matching Biggest Common Factor Method
Now, list down the factors of 5754
:1,2,3,6,7,14,21,42,137,274,411,822,959,1918,2877,5754
Now, list down the factors of 5390
:1,2,5,7,10,11,14,22,35,49,55,70,77,98,110,154,245,385,490,539,770,1078,2695,5390
Greatest Common Factor
We found the factors 5754,5390 . The biggest common factor number is the GCF number.
So the greatest common factor 5754,5390 is 14.
Lets's calculate LCM of 657,9426
| 3 | 657, 9426 |
| 219, 3142 |
∴ So the LCM of the given numbers is 3 x 219 x 3142 = 2064294
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/2064294
Therefore, the GCF of Fractions 5754/657,5390/9426 is 14/2064294
Least Common Multiple of 657,9426 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 657,9426 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(657,9426) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(657,9426) x common factors =3 x 1 = 3
LCM(657,9426) = ( 657 × 9426 ) / 3
LCM(657,9426) = 6192882 / 3
LCM(657,9426) = 2064294
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5754/657, 5390/9426
1. What is the HCF of 5754,5390?
The HCF of 5754,5390 is 14
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 5754/657, 5390/9426?
Answer: GCF of Numerators as per given numbers 5754/657, 5390/9426 is
GCF of Numerators i.e. for 5754,5390 is 14
LCM of denominators i.e. for 657,9426 is 2064294.
Thus, GCF of Fractions is 14/2064294.Finally, GCF of Fractions for 5754/657, 5390/9426 is 14/2064294.