GCF of 4290/892, 3215/122
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4290/892, 3215/122 i.e 5/54412 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4290/892, 3215/122.
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 4290/892,3215/122?
Given fractions are 4290/892,3215/122
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 4290/892,3215/122, numerators are 4290,3215
Denominators are 892,122
The GCF of 4290,3215 is 5 .
LCM of 892,122 is 54412.
The greatest common factor of 4290/892,3215/122 = [GCF of 4290,3215]/[LCM of 892,122]= 5/54412
Therefore, the GCF of 4290/892,3215/122 is 5/54412.
To find the highest common factor of 4290,3215, we have to find the factors of both numbers and list the highest common factor.
The factors of 4290 are 1, 2, 3, 5, 6, 10, 11, 13, 15, 22, 26, 30, 33, 39, 55, 65, 66, 78, 110, 130, 143, 165, 195, 286, 330, 390, 429, 715, 858, 1430, 2145, 4290
The factors of 3215 are 1, 5, 643, 3215
The HCF of 4290,3215 is 5.
Lets's calculate GCF of 4290,3215
| 5 | 4290, 3215 |
| 858, 643 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 4290,3215 By Matching Biggest Common Factor Method
Now, list down the factors of 4290
:1,2,3,5,6,10,11,13,15,22,26,30,33,39,55,65,66,78,110,130,143,165,195,286,330,390,429,715,858,1430,2145,4290
Now, list down the factors of 3215
:1,5,643,3215
Greatest Common Factor
We found the factors 4290,3215 . The biggest common factor number is the GCF number.
So the greatest common factor 4290,3215 is 5.
Lets's calculate LCM of 892,122
| 2 | 892, 122 |
| 446, 61 |
∴ So the LCM of the given numbers is 2 x 446 x 61 = 54412
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/54412
Therefore, the GCF of Fractions 4290/892,3215/122 is 5/54412
Least Common Multiple of 892,122 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 892,122 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(892,122) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(892,122) x common factors =2 x 1 = 2
LCM(892,122) = ( 892 × 122 ) / 2
LCM(892,122) = 108824 / 2
LCM(892,122) = 54412
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FAQs on GCF of Fractions of 4290/892, 3215/122
1. What is the HCF of 4290,3215?
The HCF of 4290,3215 is 5
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 4290/892, 3215/122?
Answer: GCF of Numerators as per given numbers 4290/892, 3215/122 is
GCF of Numerators i.e. for 4290,3215 is 5
LCM of denominators i.e. for 892,122 is 54412.
Thus, GCF of Fractions is 5/54412.Finally, GCF of Fractions for 4290/892, 3215/122 is 5/54412.