GCF of 5510/678, 5513/8391
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5510/678, 5513/8391 i.e 1/1896366 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5510/678, 5513/8391.
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 5510/678,5513/8391?
Given fractions are 5510/678,5513/8391
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 5510/678,5513/8391, numerators are 5510,5513
Denominators are 678,8391
The GCF of 5510,5513 is 1 .
LCM of 678,8391 is 1896366.
The greatest common factor of 5510/678,5513/8391 = [GCF of 5510,5513]/[LCM of 678,8391]= 1/1896366
Therefore, the GCF of 5510/678,5513/8391 is 1/1896366.
To find the highest common factor of 5510,5513, we have to find the factors of both numbers and list the highest common factor.
The factors of 5510 are 1, 2, 5, 10, 19, 29, 38, 58, 95, 145, 190, 290, 551, 1102, 2755, 5510
The factors of 5513 are 1, 37, 149, 5513
The HCF of 5510,5513 is 1.
Lets's calculate GCF of 5510,5513
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5510,5513 By Matching Biggest Common Factor Method
Now, list down the factors of 5510
:1,2,5,10,19,29,38,58,95,145,190,290,551,1102,2755,5510
Now, list down the factors of 5513
:1,37,149,5513
Greatest Common Factor
We found the factors 5510,5513 . The biggest common factor number is the GCF number.
So the greatest common factor 5510,5513 is 1.
Lets's calculate LCM of 678,8391
| 3 | 678, 8391 |
| 226, 2797 |
∴ So the LCM of the given numbers is 3 x 226 x 2797 = 1896366
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1896366
Therefore, the GCF of Fractions 5510/678,5513/8391 is 1/1896366
Least Common Multiple of 678,8391 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 678,8391 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(678,8391) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(678,8391) x common factors =3 x 1 = 3
LCM(678,8391) = ( 678 × 8391 ) / 3
LCM(678,8391) = 5689098 / 3
LCM(678,8391) = 1896366
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FAQs on GCF of Fractions of 5510/678, 5513/8391
1. What is the HCF of 5510,5513?
The HCF of 5510,5513 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 5510/678, 5513/8391?
Answer: GCF of Numerators as per given numbers 5510/678, 5513/8391 is
GCF of Numerators i.e. for 5510,5513 is 1
LCM of denominators i.e. for 678,8391 is 1896366.
Thus, GCF of Fractions is 1/1896366.Finally, GCF of Fractions for 5510/678, 5513/8391 is 1/1896366.