GCF of 572/214, 998/474
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 572/214, 998/474 i.e 2/50718 easily. The following is the detailed procedure to determine the greatest common factor of fractions 572/214, 998/474.
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 572/214,998/474?
Given fractions are 572/214,998/474
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 572/214,998/474, numerators are 572,998
Denominators are 214,474
The GCF of 572,998 is 2 .
LCM of 214,474 is 50718.
The greatest common factor of 572/214,998/474 = [GCF of 572,998]/[LCM of 214,474]= 2/50718
Therefore, the GCF of 572/214,998/474 is 2/50718.
To find the highest common factor of 572,998, we have to find the factors of both numbers and list the highest common factor.
The factors of 572 are 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
The factors of 998 are 1, 2, 499, 998
The HCF of 572,998 is 2.
Lets's calculate GCF of 572,998
| 2 | 572, 998 |
| 286, 499 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 572,998 By Matching Biggest Common Factor Method
Now, list down the factors of 572
:1,2,4,11,13,22,26,44,52,143,286,572
Now, list down the factors of 998
:1,2,499,998
Greatest Common Factor
We found the factors 572,998 . The biggest common factor number is the GCF number.
So the greatest common factor 572,998 is 2.
Lets's calculate LCM of 214,474
| 2 | 214, 474 |
| 107, 237 |
∴ So the LCM of the given numbers is 2 x 107 x 237 = 50718
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/50718
Therefore, the GCF of Fractions 572/214,998/474 is 2/50718
Least Common Multiple of 214,474 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 214,474 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(214,474) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(214,474) x common factors =2 x 1 = 2
LCM(214,474) = ( 214 × 474 ) / 2
LCM(214,474) = 101436 / 2
LCM(214,474) = 50718
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FAQs on GCF of Fractions of 572/214, 998/474
1. What is the HCF of 572,998?
The HCF of 572,998 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 572/214, 998/474?
Answer: GCF of Numerators as per given numbers 572/214, 998/474 is
GCF of Numerators i.e. for 572,998 is 2
LCM of denominators i.e. for 214,474 is 50718.
Thus, GCF of Fractions is 2/50718.Finally, GCF of Fractions for 572/214, 998/474 is 2/50718.