GCF of 7916/220, 2169/2408
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7916/220, 2169/2408 i.e 1/132440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7916/220, 2169/2408.
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 7916/220,2169/2408?
Given fractions are 7916/220,2169/2408
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 7916/220,2169/2408, numerators are 7916,2169
Denominators are 220,2408
The GCF of 7916,2169 is 1 .
LCM of 220,2408 is 132440.
The greatest common factor of 7916/220,2169/2408 = [GCF of 7916,2169]/[LCM of 220,2408]= 1/132440
Therefore, the GCF of 7916/220,2169/2408 is 1/132440.
To find the highest common factor of 7916,2169, we have to find the factors of both numbers and list the highest common factor.
The factors of 7916 are 1, 2, 4, 1979, 3958, 7916
The factors of 2169 are 1, 3, 9, 241, 723, 2169
The HCF of 7916,2169 is 1.
Lets's calculate GCF of 7916,2169
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7916,2169 By Matching Biggest Common Factor Method
Now, list down the factors of 7916
:1,2,4,1979,3958,7916
Now, list down the factors of 2169
:1,3,9,241,723,2169
Greatest Common Factor
We found the factors 7916,2169 . The biggest common factor number is the GCF number.
So the greatest common factor 7916,2169 is 1.
Lets's calculate LCM of 220,2408
| 2 | 220, 2408 |
| 2 | 110, 1204 |
| 55, 602 |
∴ So the LCM of the given numbers is 2 x 2 x 55 x 602 = 132440
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/132440
Therefore, the GCF of Fractions 7916/220,2169/2408 is 1/132440
Least Common Multiple of 220,2408 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 220,2408 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(220,2408) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(220,2408) x common factors =4 x 1 = 4
LCM(220,2408) = ( 220 × 2408 ) / 4
LCM(220,2408) = 529760 / 4
LCM(220,2408) = 132440
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FAQs on GCF of Fractions of 7916/220, 2169/2408
1. What is the HCF of 7916,2169?
The HCF of 7916,2169 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 7916/220, 2169/2408?
Answer: GCF of Numerators as per given numbers 7916/220, 2169/2408 is
GCF of Numerators i.e. for 7916,2169 is 1
LCM of denominators i.e. for 220,2408 is 132440.
Thus, GCF of Fractions is 1/132440.Finally, GCF of Fractions for 7916/220, 2169/2408 is 1/132440.