GCF of 4405/724, 5429/1348
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4405/724, 5429/1348 i.e 1/243988 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4405/724, 5429/1348.
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 4405/724,5429/1348?
Given fractions are 4405/724,5429/1348
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 4405/724,5429/1348, numerators are 4405,5429
Denominators are 724,1348
The GCF of 4405,5429 is 1 .
LCM of 724,1348 is 243988.
The greatest common factor of 4405/724,5429/1348 = [GCF of 4405,5429]/[LCM of 724,1348]= 1/243988
Therefore, the GCF of 4405/724,5429/1348 is 1/243988.
To find the highest common factor of 4405,5429, we have to find the factors of both numbers and list the highest common factor.
The factors of 4405 are 1, 5, 881, 4405
The factors of 5429 are 1, 61, 89, 5429
The HCF of 4405,5429 is 1.
Lets's calculate GCF of 4405,5429
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4405,5429 By Matching Biggest Common Factor Method
Now, list down the factors of 4405
:1,5,881,4405
Now, list down the factors of 5429
:1,61,89,5429
Greatest Common Factor
We found the factors 4405,5429 . The biggest common factor number is the GCF number.
So the greatest common factor 4405,5429 is 1.
Lets's calculate LCM of 724,1348
| 2 | 724, 1348 |
| 2 | 362, 674 |
| 181, 337 |
∴ So the LCM of the given numbers is 2 x 2 x 181 x 337 = 243988
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/243988
Therefore, the GCF of Fractions 4405/724,5429/1348 is 1/243988
Least Common Multiple of 724,1348 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 724,1348 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(724,1348) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(724,1348) x common factors =4 x 1 = 4
LCM(724,1348) = ( 724 × 1348 ) / 4
LCM(724,1348) = 975952 / 4
LCM(724,1348) = 243988
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FAQs on GCF of Fractions of 4405/724, 5429/1348
1. What is the HCF of 4405,5429?
The HCF of 4405,5429 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 4405/724, 5429/1348?
Answer: GCF of Numerators as per given numbers 4405/724, 5429/1348 is
GCF of Numerators i.e. for 4405,5429 is 1
LCM of denominators i.e. for 724,1348 is 243988.
Thus, GCF of Fractions is 1/243988.Finally, GCF of Fractions for 4405/724, 5429/1348 is 1/243988.