GCF of 2630/909, 5514/8183
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2630/909, 5514/8183 i.e 2/7438347 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2630/909, 5514/8183.
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 2630/909,5514/8183?
Given fractions are 2630/909,5514/8183
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 2630/909,5514/8183, numerators are 2630,5514
Denominators are 909,8183
The GCF of 2630,5514 is 2 .
LCM of 909,8183 is 7438347.
The greatest common factor of 2630/909,5514/8183 = [GCF of 2630,5514]/[LCM of 909,8183]= 2/7438347
Therefore, the GCF of 2630/909,5514/8183 is 2/7438347.
To find the highest common factor of 2630,5514, we have to find the factors of both numbers and list the highest common factor.
The factors of 2630 are 1, 2, 5, 10, 263, 526, 1315, 2630
The factors of 5514 are 1, 2, 3, 6, 919, 1838, 2757, 5514
The HCF of 2630,5514 is 2.
Lets's calculate GCF of 2630,5514
| 2 | 2630, 5514 |
| 1315, 2757 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2630,5514 By Matching Biggest Common Factor Method
Now, list down the factors of 2630
:1,2,5,10,263,526,1315,2630
Now, list down the factors of 5514
:1,2,3,6,919,1838,2757,5514
Greatest Common Factor
We found the factors 2630,5514 . The biggest common factor number is the GCF number.
So the greatest common factor 2630,5514 is 2.
Lets's calculate LCM of 909,8183
Given numbers has no common factors except 1. So, there LCM is their product i.e 7438347
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/7438347
Therefore, the GCF of Fractions 2630/909,5514/8183 is 2/7438347
Least Common Multiple of 909,8183 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 909,8183 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(909,8183) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(909,8183) x common factors =1 x 1 = 1
LCM(909,8183) = ( 909 × 8183 ) / 1
LCM(909,8183) = 7438347 / 1
LCM(909,8183) = 7438347
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FAQs on GCF of Fractions of 2630/909, 5514/8183
1. What is the HCF of 2630,5514?
The HCF of 2630,5514 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 2630/909, 5514/8183?
Answer: GCF of Numerators as per given numbers 2630/909, 5514/8183 is
GCF of Numerators i.e. for 2630,5514 is 2
LCM of denominators i.e. for 909,8183 is 7438347.
Thus, GCF of Fractions is 2/7438347.Finally, GCF of Fractions for 2630/909, 5514/8183 is 2/7438347.