GCF of 5492/624, 9698/2644
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5492/624, 9698/2644 i.e 2/412464 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5492/624, 9698/2644.
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 5492/624,9698/2644?
Given fractions are 5492/624,9698/2644
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 5492/624,9698/2644, numerators are 5492,9698
Denominators are 624,2644
The GCF of 5492,9698 is 2 .
LCM of 624,2644 is 412464.
The greatest common factor of 5492/624,9698/2644 = [GCF of 5492,9698]/[LCM of 624,2644]= 2/412464
Therefore, the GCF of 5492/624,9698/2644 is 2/412464.
To find the highest common factor of 5492,9698, we have to find the factors of both numbers and list the highest common factor.
The factors of 5492 are 1, 2, 4, 1373, 2746, 5492
The factors of 9698 are 1, 2, 13, 26, 373, 746, 4849, 9698
The HCF of 5492,9698 is 2.
Lets's calculate GCF of 5492,9698
| 2 | 5492, 9698 |
| 2746, 4849 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5492,9698 By Matching Biggest Common Factor Method
Now, list down the factors of 5492
:1,2,4,1373,2746,5492
Now, list down the factors of 9698
:1,2,13,26,373,746,4849,9698
Greatest Common Factor
We found the factors 5492,9698 . The biggest common factor number is the GCF number.
So the greatest common factor 5492,9698 is 2.
Lets's calculate LCM of 624,2644
| 2 | 624, 2644 |
| 2 | 312, 1322 |
| 156, 661 |
∴ So the LCM of the given numbers is 2 x 2 x 156 x 661 = 412464
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/412464
Therefore, the GCF of Fractions 5492/624,9698/2644 is 2/412464
Least Common Multiple of 624,2644 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 624,2644 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(624,2644) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(624,2644) x common factors =4 x 1 = 4
LCM(624,2644) = ( 624 × 2644 ) / 4
LCM(624,2644) = 1649856 / 4
LCM(624,2644) = 412464
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FAQs on GCF of Fractions of 5492/624, 9698/2644
1. What is the HCF of 5492,9698?
The HCF of 5492,9698 is 2
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 5492/624, 9698/2644?
Answer: GCF of Numerators as per given numbers 5492/624, 9698/2644 is
GCF of Numerators i.e. for 5492,9698 is 2
LCM of denominators i.e. for 624,2644 is 412464.
Thus, GCF of Fractions is 2/412464.Finally, GCF of Fractions for 5492/624, 9698/2644 is 2/412464.