GCF of 4534/443, 3310/2538
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4534/443, 3310/2538 i.e 2/1124334 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4534/443, 3310/2538.
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 4534/443,3310/2538?
Given fractions are 4534/443,3310/2538
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 4534/443,3310/2538, numerators are 4534,3310
Denominators are 443,2538
The GCF of 4534,3310 is 2 .
LCM of 443,2538 is 1124334.
The greatest common factor of 4534/443,3310/2538 = [GCF of 4534,3310]/[LCM of 443,2538]= 2/1124334
Therefore, the GCF of 4534/443,3310/2538 is 2/1124334.
To find the highest common factor of 4534,3310, we have to find the factors of both numbers and list the highest common factor.
The factors of 4534 are 1, 2, 2267, 4534
The factors of 3310 are 1, 2, 5, 10, 331, 662, 1655, 3310
The HCF of 4534,3310 is 2.
Lets's calculate GCF of 4534,3310
| 2 | 4534, 3310 |
| 2267, 1655 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4534,3310 By Matching Biggest Common Factor Method
Now, list down the factors of 4534
:1,2,2267,4534
Now, list down the factors of 3310
:1,2,5,10,331,662,1655,3310
Greatest Common Factor
We found the factors 4534,3310 . The biggest common factor number is the GCF number.
So the greatest common factor 4534,3310 is 2.
Lets's calculate LCM of 443,2538
Given numbers has no common factors except 1. So, there LCM is their product i.e 1124334
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1124334
Therefore, the GCF of Fractions 4534/443,3310/2538 is 2/1124334
Least Common Multiple of 443,2538 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 443,2538 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(443,2538) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(443,2538) x common factors =1 x 1 = 1
LCM(443,2538) = ( 443 × 2538 ) / 1
LCM(443,2538) = 1124334 / 1
LCM(443,2538) = 1124334
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FAQs on GCF of Fractions of 4534/443, 3310/2538
1. What is the HCF of 4534,3310?
The HCF of 4534,3310 is 2
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 4534/443, 3310/2538?
Answer: GCF of Numerators as per given numbers 4534/443, 3310/2538 is
GCF of Numerators i.e. for 4534,3310 is 2
LCM of denominators i.e. for 443,2538 is 1124334.
Thus, GCF of Fractions is 2/1124334.Finally, GCF of Fractions for 4534/443, 3310/2538 is 2/1124334.