GCF of 5654/490, 2497/4609
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5654/490, 2497/4609 i.e 11/2258410 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5654/490, 2497/4609.
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 5654/490,2497/4609?
Given fractions are 5654/490,2497/4609
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 5654/490,2497/4609, numerators are 5654,2497
Denominators are 490,4609
The GCF of 5654,2497 is 11 .
LCM of 490,4609 is 2258410.
The greatest common factor of 5654/490,2497/4609 = [GCF of 5654,2497]/[LCM of 490,4609]= 11/2258410
Therefore, the GCF of 5654/490,2497/4609 is 11/2258410.
To find the highest common factor of 5654,2497, we have to find the factors of both numbers and list the highest common factor.
The factors of 5654 are 1, 2, 11, 22, 257, 514, 2827, 5654
The factors of 2497 are 1, 11, 227, 2497
The HCF of 5654,2497 is 11.
Lets's calculate GCF of 5654,2497
| 11 | 5654, 2497 |
| 514, 227 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 5654,2497 By Matching Biggest Common Factor Method
Now, list down the factors of 5654
:1,2,11,22,257,514,2827,5654
Now, list down the factors of 2497
:1,11,227,2497
Greatest Common Factor
We found the factors 5654,2497 . The biggest common factor number is the GCF number.
So the greatest common factor 5654,2497 is 11.
Lets's calculate LCM of 490,4609
Given numbers has no common factors except 1. So, there LCM is their product i.e 2258410
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/2258410
Therefore, the GCF of Fractions 5654/490,2497/4609 is 11/2258410
Least Common Multiple of 490,4609 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 490,4609 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(490,4609) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(490,4609) x common factors =1 x 1 = 1
LCM(490,4609) = ( 490 × 4609 ) / 1
LCM(490,4609) = 2258410 / 1
LCM(490,4609) = 2258410
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FAQs on GCF of Fractions of 5654/490, 2497/4609
1. What is the HCF of 5654,2497?
The HCF of 5654,2497 is 11
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 5654/490, 2497/4609?
Answer: GCF of Numerators as per given numbers 5654/490, 2497/4609 is
GCF of Numerators i.e. for 5654,2497 is 11
LCM of denominators i.e. for 490,4609 is 2258410.
Thus, GCF of Fractions is 11/2258410.Finally, GCF of Fractions for 5654/490, 2497/4609 is 11/2258410.