GCF of 4524/254, 1431/8864
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4524/254, 1431/8864 i.e 3/1125728 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4524/254, 1431/8864.
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 4524/254,1431/8864?
Given fractions are 4524/254,1431/8864
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 4524/254,1431/8864, numerators are 4524,1431
Denominators are 254,8864
The GCF of 4524,1431 is 3 .
LCM of 254,8864 is 1125728.
The greatest common factor of 4524/254,1431/8864 = [GCF of 4524,1431]/[LCM of 254,8864]= 3/1125728
Therefore, the GCF of 4524/254,1431/8864 is 3/1125728.
To find the highest common factor of 4524,1431, we have to find the factors of both numbers and list the highest common factor.
The factors of 4524 are 1, 2, 3, 4, 6, 12, 13, 26, 29, 39, 52, 58, 78, 87, 116, 156, 174, 348, 377, 754, 1131, 1508, 2262, 4524
The factors of 1431 are 1, 3, 9, 27, 53, 159, 477, 1431
The HCF of 4524,1431 is 3.
Lets's calculate GCF of 4524,1431
| 3 | 4524, 1431 |
| 1508, 477 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4524,1431 By Matching Biggest Common Factor Method
Now, list down the factors of 4524
:1,2,3,4,6,12,13,26,29,39,52,58,78,87,116,156,174,348,377,754,1131,1508,2262,4524
Now, list down the factors of 1431
:1,3,9,27,53,159,477,1431
Greatest Common Factor
We found the factors 4524,1431 . The biggest common factor number is the GCF number.
So the greatest common factor 4524,1431 is 3.
Lets's calculate LCM of 254,8864
| 2 | 254, 8864 |
| 127, 4432 |
∴ So the LCM of the given numbers is 2 x 127 x 4432 = 1125728
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1125728
Therefore, the GCF of Fractions 4524/254,1431/8864 is 3/1125728
Least Common Multiple of 254,8864 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 254,8864 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(254,8864) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(254,8864) x common factors =2 x 1 = 2
LCM(254,8864) = ( 254 × 8864 ) / 2
LCM(254,8864) = 2251456 / 2
LCM(254,8864) = 1125728
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FAQs on GCF of Fractions of 4524/254, 1431/8864
1. What is the HCF of 4524,1431?
The HCF of 4524,1431 is 3
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 4524/254, 1431/8864?
Answer: GCF of Numerators as per given numbers 4524/254, 1431/8864 is
GCF of Numerators i.e. for 4524,1431 is 3
LCM of denominators i.e. for 254,8864 is 1125728.
Thus, GCF of Fractions is 3/1125728.Finally, GCF of Fractions for 4524/254, 1431/8864 is 3/1125728.