GCF of 4254/122, 5431/712
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4254/122, 5431/712 i.e 1/43432 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4254/122, 5431/712.
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 4254/122,5431/712?
Given fractions are 4254/122,5431/712
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 4254/122,5431/712, numerators are 4254,5431
Denominators are 122,712
The GCF of 4254,5431 is 1 .
LCM of 122,712 is 43432.
The greatest common factor of 4254/122,5431/712 = [GCF of 4254,5431]/[LCM of 122,712]= 1/43432
Therefore, the GCF of 4254/122,5431/712 is 1/43432.
To find the highest common factor of 4254,5431, we have to find the factors of both numbers and list the highest common factor.
The factors of 4254 are 1, 2, 3, 6, 709, 1418, 2127, 4254
The factors of 5431 are 1, 5431
The HCF of 4254,5431 is 1.
Lets's calculate GCF of 4254,5431
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4254,5431 By Matching Biggest Common Factor Method
Now, list down the factors of 4254
:1,2,3,6,709,1418,2127,4254
Now, list down the factors of 5431
:1,5431
Greatest Common Factor
We found the factors 4254,5431 . The biggest common factor number is the GCF number.
So the greatest common factor 4254,5431 is 1.
Lets's calculate LCM of 122,712
| 2 | 122, 712 |
| 61, 356 |
∴ So the LCM of the given numbers is 2 x 61 x 356 = 43432
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/43432
Therefore, the GCF of Fractions 4254/122,5431/712 is 1/43432
Least Common Multiple of 122,712 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 122,712 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(122,712) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(122,712) x common factors =2 x 1 = 2
LCM(122,712) = ( 122 × 712 ) / 2
LCM(122,712) = 86864 / 2
LCM(122,712) = 43432
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FAQs on GCF of Fractions of 4254/122, 5431/712
1. What is the HCF of 4254,5431?
The HCF of 4254,5431 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 4254/122, 5431/712?
Answer: GCF of Numerators as per given numbers 4254/122, 5431/712 is
GCF of Numerators i.e. for 4254,5431 is 1
LCM of denominators i.e. for 122,712 is 43432.
Thus, GCF of Fractions is 1/43432.Finally, GCF of Fractions for 4254/122, 5431/712 is 1/43432.