GCF of 574/636, 468/212
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 574/636, 468/212 i.e 2/636 easily. The following is the detailed procedure to determine the greatest common factor of fractions 574/636, 468/212.
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 574/636,468/212?
Given fractions are 574/636,468/212
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 574/636,468/212, numerators are 574,468
Denominators are 636,212
The GCF of 574,468 is 2 .
LCM of 636,212 is 636.
The greatest common factor of 574/636,468/212 = [GCF of 574,468]/[LCM of 636,212]= 2/636
Therefore, the GCF of 574/636,468/212 is 2/636.
To find the highest common factor of 574,468, we have to find the factors of both numbers and list the highest common factor.
The factors of 574 are 1, 2, 7, 14, 41, 82, 287, 574
The factors of 468 are 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
The HCF of 574,468 is 2.
Lets's calculate GCF of 574,468
| 2 | 574, 468 |
| 287, 234 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 574,468 By Matching Biggest Common Factor Method
Now, list down the factors of 574
:1,2,7,14,41,82,287,574
Now, list down the factors of 468
:1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468
Greatest Common Factor
We found the factors 574,468 . The biggest common factor number is the GCF number.
So the greatest common factor 574,468 is 2.
Lets's calculate LCM of 636,212
| 2 | 636, 212 |
| 2 | 318, 106 |
| 53 | 159, 53 |
| 3, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 53 x 3 x 1 = 636
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/636
Therefore, the GCF of Fractions 574/636,468/212 is 2/636
Least Common Multiple of 636,212 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 636,212 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(636,212) = 212
common factors(in case of two or more numbers have common factors) = 1
GCF(636,212) x common factors =212 x 1 = 212
LCM(636,212) = ( 636 × 212 ) / 212
LCM(636,212) = 134832 / 212
LCM(636,212) = 636
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FAQs on GCF of Fractions of 574/636, 468/212
1. What is the HCF of 574,468?
The HCF of 574,468 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 574/636, 468/212?
Answer: GCF of Numerators as per given numbers 574/636, 468/212 is
GCF of Numerators i.e. for 574,468 is 2
LCM of denominators i.e. for 636,212 is 636.
Thus, GCF of Fractions is 2/636.Finally, GCF of Fractions for 574/636, 468/212 is 2/636.