GCF of 5626/427, 9146/105
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5626/427, 9146/105 i.e 2/6405 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5626/427, 9146/105.
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 5626/427,9146/105?
Given fractions are 5626/427,9146/105
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 5626/427,9146/105, numerators are 5626,9146
Denominators are 427,105
The GCF of 5626,9146 is 2 .
LCM of 427,105 is 6405.
The greatest common factor of 5626/427,9146/105 = [GCF of 5626,9146]/[LCM of 427,105]= 2/6405
Therefore, the GCF of 5626/427,9146/105 is 2/6405.
To find the highest common factor of 5626,9146, we have to find the factors of both numbers and list the highest common factor.
The factors of 5626 are 1, 2, 29, 58, 97, 194, 2813, 5626
The factors of 9146 are 1, 2, 17, 34, 269, 538, 4573, 9146
The HCF of 5626,9146 is 2.
Lets's calculate GCF of 5626,9146
| 2 | 5626, 9146 |
| 2813, 4573 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5626,9146 By Matching Biggest Common Factor Method
Now, list down the factors of 5626
:1,2,29,58,97,194,2813,5626
Now, list down the factors of 9146
:1,2,17,34,269,538,4573,9146
Greatest Common Factor
We found the factors 5626,9146 . The biggest common factor number is the GCF number.
So the greatest common factor 5626,9146 is 2.
Lets's calculate LCM of 427,105
| 7 | 427, 105 |
| 61, 15 |
∴ So the LCM of the given numbers is 7 x 61 x 15 = 6405
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6405
Therefore, the GCF of Fractions 5626/427,9146/105 is 2/6405
Least Common Multiple of 427,105 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 427,105 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(427,105) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(427,105) x common factors =7 x 1 = 7
LCM(427,105) = ( 427 × 105 ) / 7
LCM(427,105) = 44835 / 7
LCM(427,105) = 6405
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FAQs on GCF of Fractions of 5626/427, 9146/105
1. What is the HCF of 5626,9146?
The HCF of 5626,9146 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 5626/427, 9146/105?
Answer: GCF of Numerators as per given numbers 5626/427, 9146/105 is
GCF of Numerators i.e. for 5626,9146 is 2
LCM of denominators i.e. for 427,105 is 6405.
Thus, GCF of Fractions is 2/6405.Finally, GCF of Fractions for 5626/427, 9146/105 is 2/6405.