GCF of 244/312, 474/569
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 244/312, 474/569 i.e 2/177528 easily. The following is the detailed procedure to determine the greatest common factor of fractions 244/312, 474/569.
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 244/312,474/569?
Given fractions are 244/312,474/569
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 244/312,474/569, numerators are 244,474
Denominators are 312,569
The GCF of 244,474 is 2 .
LCM of 312,569 is 177528.
The greatest common factor of 244/312,474/569 = [GCF of 244,474]/[LCM of 312,569]= 2/177528
Therefore, the GCF of 244/312,474/569 is 2/177528.
To find the highest common factor of 244,474, we have to find the factors of both numbers and list the highest common factor.
The factors of 244 are 1, 2, 4, 61, 122, 244
The factors of 474 are 1, 2, 3, 6, 79, 158, 237, 474
The HCF of 244,474 is 2.
Lets's calculate GCF of 244,474
| 2 | 244, 474 |
| 122, 237 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 244,474 By Matching Biggest Common Factor Method
Now, list down the factors of 244
:1,2,4,61,122,244
Now, list down the factors of 474
:1,2,3,6,79,158,237,474
Greatest Common Factor
We found the factors 244,474 . The biggest common factor number is the GCF number.
So the greatest common factor 244,474 is 2.
Lets's calculate LCM of 312,569
Given numbers has no common factors except 1. So, there LCM is their product i.e 177528
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/177528
Therefore, the GCF of Fractions 244/312,474/569 is 2/177528
Least Common Multiple of 312,569 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 312,569 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(312,569) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(312,569) x common factors =1 x 1 = 1
LCM(312,569) = ( 312 × 569 ) / 1
LCM(312,569) = 177528 / 1
LCM(312,569) = 177528
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FAQs on GCF of Fractions of 244/312, 474/569
1. What is the HCF of 244,474?
The HCF of 244,474 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 244/312, 474/569?
Answer: GCF of Numerators as per given numbers 244/312, 474/569 is
GCF of Numerators i.e. for 244,474 is 2
LCM of denominators i.e. for 312,569 is 177528.
Thus, GCF of Fractions is 2/177528.Finally, GCF of Fractions for 244/312, 474/569 is 2/177528.