GCF of 3196/820, 3473/2229
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3196/820, 3473/2229 i.e 1/1827780 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3196/820, 3473/2229.
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 3196/820,3473/2229?
Given fractions are 3196/820,3473/2229
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 3196/820,3473/2229, numerators are 3196,3473
Denominators are 820,2229
The GCF of 3196,3473 is 1 .
LCM of 820,2229 is 1827780.
The greatest common factor of 3196/820,3473/2229 = [GCF of 3196,3473]/[LCM of 820,2229]= 1/1827780
Therefore, the GCF of 3196/820,3473/2229 is 1/1827780.
To find the highest common factor of 3196,3473, we have to find the factors of both numbers and list the highest common factor.
The factors of 3196 are 1, 2, 4, 17, 34, 47, 68, 94, 188, 799, 1598, 3196
The factors of 3473 are 1, 23, 151, 3473
The HCF of 3196,3473 is 1.
Lets's calculate GCF of 3196,3473
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3196,3473 By Matching Biggest Common Factor Method
Now, list down the factors of 3196
:1,2,4,17,34,47,68,94,188,799,1598,3196
Now, list down the factors of 3473
:1,23,151,3473
Greatest Common Factor
We found the factors 3196,3473 . The biggest common factor number is the GCF number.
So the greatest common factor 3196,3473 is 1.
Lets's calculate LCM of 820,2229
Given numbers has no common factors except 1. So, there LCM is their product i.e 1827780
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1827780
Therefore, the GCF of Fractions 3196/820,3473/2229 is 1/1827780
Least Common Multiple of 820,2229 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 820,2229 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(820,2229) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(820,2229) x common factors =1 x 1 = 1
LCM(820,2229) = ( 820 × 2229 ) / 1
LCM(820,2229) = 1827780 / 1
LCM(820,2229) = 1827780
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FAQs on GCF of Fractions of 3196/820, 3473/2229
1. What is the HCF of 3196,3473?
The HCF of 3196,3473 is 1
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 3196/820, 3473/2229?
Answer: GCF of Numerators as per given numbers 3196/820, 3473/2229 is
GCF of Numerators i.e. for 3196,3473 is 1
LCM of denominators i.e. for 820,2229 is 1827780.
Thus, GCF of Fractions is 1/1827780.Finally, GCF of Fractions for 3196/820, 3473/2229 is 1/1827780.