GCF of 4853/134, 7429/6468
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4853/134, 7429/6468 i.e 23/433356 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4853/134, 7429/6468.
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 4853/134,7429/6468?
Given fractions are 4853/134,7429/6468
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 4853/134,7429/6468, numerators are 4853,7429
Denominators are 134,6468
The GCF of 4853,7429 is 23 .
LCM of 134,6468 is 433356.
The greatest common factor of 4853/134,7429/6468 = [GCF of 4853,7429]/[LCM of 134,6468]= 23/433356
Therefore, the GCF of 4853/134,7429/6468 is 23/433356.
To find the highest common factor of 4853,7429, we have to find the factors of both numbers and list the highest common factor.
The factors of 4853 are 1, 23, 211, 4853
The factors of 7429 are 1, 17, 19, 23, 323, 391, 437, 7429
The HCF of 4853,7429 is 23.
Lets's calculate GCF of 4853,7429
| 23 | 4853, 7429 |
| 211, 323 |
∴ So the GCF of the given numbers is 23 = 23
Greatest Common Factor of 4853,7429 By Matching Biggest Common Factor Method
Now, list down the factors of 4853
:1,23,211,4853
Now, list down the factors of 7429
:1,17,19,23,323,391,437,7429
Greatest Common Factor
We found the factors 4853,7429 . The biggest common factor number is the GCF number.
So the greatest common factor 4853,7429 is 23.
Lets's calculate LCM of 134,6468
| 2 | 134, 6468 |
| 67, 3234 |
∴ So the LCM of the given numbers is 2 x 67 x 3234 = 433356
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/433356
Therefore, the GCF of Fractions 4853/134,7429/6468 is 23/433356
Least Common Multiple of 134,6468 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 134,6468 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(134,6468) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(134,6468) x common factors =2 x 1 = 2
LCM(134,6468) = ( 134 × 6468 ) / 2
LCM(134,6468) = 866712 / 2
LCM(134,6468) = 433356
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FAQs on GCF of Fractions of 4853/134, 7429/6468
1. What is the HCF of 4853,7429?
The HCF of 4853,7429 is 23
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 4853/134, 7429/6468?
Answer: GCF of Numerators as per given numbers 4853/134, 7429/6468 is
GCF of Numerators i.e. for 4853,7429 is 23
LCM of denominators i.e. for 134,6468 is 433356.
Thus, GCF of Fractions is 23/433356.Finally, GCF of Fractions for 4853/134, 7429/6468 is 23/433356.