GCF of 4479/642, 1265/538
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4479/642, 1265/538 i.e 1/172698 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4479/642, 1265/538.
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 4479/642,1265/538?
Given fractions are 4479/642,1265/538
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 4479/642,1265/538, numerators are 4479,1265
Denominators are 642,538
The GCF of 4479,1265 is 1 .
LCM of 642,538 is 172698.
The greatest common factor of 4479/642,1265/538 = [GCF of 4479,1265]/[LCM of 642,538]= 1/172698
Therefore, the GCF of 4479/642,1265/538 is 1/172698.
To find the highest common factor of 4479,1265, we have to find the factors of both numbers and list the highest common factor.
The factors of 4479 are 1, 3, 1493, 4479
The factors of 1265 are 1, 5, 11, 23, 55, 115, 253, 1265
The HCF of 4479,1265 is 1.
Lets's calculate GCF of 4479,1265
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4479,1265 By Matching Biggest Common Factor Method
Now, list down the factors of 4479
:1,3,1493,4479
Now, list down the factors of 1265
:1,5,11,23,55,115,253,1265
Greatest Common Factor
We found the factors 4479,1265 . The biggest common factor number is the GCF number.
So the greatest common factor 4479,1265 is 1.
Lets's calculate LCM of 642,538
| 2 | 642, 538 |
| 321, 269 |
∴ So the LCM of the given numbers is 2 x 321 x 269 = 172698
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/172698
Therefore, the GCF of Fractions 4479/642,1265/538 is 1/172698
Least Common Multiple of 642,538 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 642,538 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(642,538) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(642,538) x common factors =2 x 1 = 2
LCM(642,538) = ( 642 × 538 ) / 2
LCM(642,538) = 345396 / 2
LCM(642,538) = 172698
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FAQs on GCF of Fractions of 4479/642, 1265/538
1. What is the HCF of 4479,1265?
The HCF of 4479,1265 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 4479/642, 1265/538?
Answer: GCF of Numerators as per given numbers 4479/642, 1265/538 is
GCF of Numerators i.e. for 4479,1265 is 1
LCM of denominators i.e. for 642,538 is 172698.
Thus, GCF of Fractions is 1/172698.Finally, GCF of Fractions for 4479/642, 1265/538 is 1/172698.