GCF of 212/974, 5804/413
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 212/974, 5804/413 i.e 4/402262 easily. The following is the detailed procedure to determine the greatest common factor of fractions 212/974, 5804/413.
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 212/974,5804/413?
Given fractions are 212/974,5804/413
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 212/974,5804/413, numerators are 212,5804
Denominators are 974,413
The GCF of 212,5804 is 4 .
LCM of 974,413 is 402262.
The greatest common factor of 212/974,5804/413 = [GCF of 212,5804]/[LCM of 974,413]= 4/402262
Therefore, the GCF of 212/974,5804/413 is 4/402262.
To find the highest common factor of 212,5804, we have to find the factors of both numbers and list the highest common factor.
The factors of 212 are 1, 2, 4, 53, 106, 212
The factors of 5804 are 1, 2, 4, 1451, 2902, 5804
The HCF of 212,5804 is 4.
Lets's calculate GCF of 212,5804
| 2 | 212, 5804 |
| 2 | 106, 2902 |
| 53, 1451 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 212,5804 By Matching Biggest Common Factor Method
Now, list down the factors of 212
:1,2,4,53,106,212
Now, list down the factors of 5804
:1,2,4,1451,2902,5804
Greatest Common Factor
We found the factors 212,5804 . The biggest common factor number is the GCF number.
So the greatest common factor 212,5804 is 4.
Lets's calculate LCM of 974,413
Given numbers has no common factors except 1. So, there LCM is their product i.e 402262
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/402262
Therefore, the GCF of Fractions 212/974,5804/413 is 4/402262
Least Common Multiple of 974,413 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 974,413 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(974,413) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(974,413) x common factors =1 x 1 = 1
LCM(974,413) = ( 974 × 413 ) / 1
LCM(974,413) = 402262 / 1
LCM(974,413) = 402262
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FAQs on GCF of Fractions of 212/974, 5804/413
1. What is the HCF of 212,5804?
The HCF of 212,5804 is 4
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 212/974, 5804/413?
Answer: GCF of Numerators as per given numbers 212/974, 5804/413 is
GCF of Numerators i.e. for 212,5804 is 4
LCM of denominators i.e. for 974,413 is 402262.
Thus, GCF of Fractions is 4/402262.Finally, GCF of Fractions for 212/974, 5804/413 is 4/402262.