GCF of 2198/364, 2555/9730
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2198/364, 2555/9730 i.e 7/252980 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2198/364, 2555/9730.
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 2198/364,2555/9730?
Given fractions are 2198/364,2555/9730
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 2198/364,2555/9730, numerators are 2198,2555
Denominators are 364,9730
The GCF of 2198,2555 is 7 .
LCM of 364,9730 is 252980.
The greatest common factor of 2198/364,2555/9730 = [GCF of 2198,2555]/[LCM of 364,9730]= 7/252980
Therefore, the GCF of 2198/364,2555/9730 is 7/252980.
To find the highest common factor of 2198,2555, we have to find the factors of both numbers and list the highest common factor.
The factors of 2198 are 1, 2, 7, 14, 157, 314, 1099, 2198
The factors of 2555 are 1, 5, 7, 35, 73, 365, 511, 2555
The HCF of 2198,2555 is 7.
Lets's calculate GCF of 2198,2555
| 7 | 2198, 2555 |
| 314, 365 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 2198,2555 By Matching Biggest Common Factor Method
Now, list down the factors of 2198
:1,2,7,14,157,314,1099,2198
Now, list down the factors of 2555
:1,5,7,35,73,365,511,2555
Greatest Common Factor
We found the factors 2198,2555 . The biggest common factor number is the GCF number.
So the greatest common factor 2198,2555 is 7.
Lets's calculate LCM of 364,9730
| 2 | 364, 9730 |
| 7 | 182, 4865 |
| 26, 695 |
∴ So the LCM of the given numbers is 2 x 7 x 26 x 695 = 252980
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/252980
Therefore, the GCF of Fractions 2198/364,2555/9730 is 7/252980
Least Common Multiple of 364,9730 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 364,9730 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(364,9730) = 14
common factors(in case of two or more numbers have common factors) = 1
GCF(364,9730) x common factors =14 x 1 = 14
LCM(364,9730) = ( 364 × 9730 ) / 14
LCM(364,9730) = 3541720 / 14
LCM(364,9730) = 252980
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FAQs on GCF of Fractions of 2198/364, 2555/9730
1. What is the HCF of 2198,2555?
The HCF of 2198,2555 is 7
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 2198/364, 2555/9730?
Answer: GCF of Numerators as per given numbers 2198/364, 2555/9730 is
GCF of Numerators i.e. for 2198,2555 is 7
LCM of denominators i.e. for 364,9730 is 252980.
Thus, GCF of Fractions is 7/252980.Finally, GCF of Fractions for 2198/364, 2555/9730 is 7/252980.