GCF of 3224/328, 1059/422
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3224/328, 1059/422 i.e 1/69208 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3224/328, 1059/422.
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 3224/328,1059/422?
Given fractions are 3224/328,1059/422
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 3224/328,1059/422, numerators are 3224,1059
Denominators are 328,422
The GCF of 3224,1059 is 1 .
LCM of 328,422 is 69208.
The greatest common factor of 3224/328,1059/422 = [GCF of 3224,1059]/[LCM of 328,422]= 1/69208
Therefore, the GCF of 3224/328,1059/422 is 1/69208.
To find the highest common factor of 3224,1059, we have to find the factors of both numbers and list the highest common factor.
The factors of 3224 are 1, 2, 4, 8, 13, 26, 31, 52, 62, 104, 124, 248, 403, 806, 1612, 3224
The factors of 1059 are 1, 3, 353, 1059
The HCF of 3224,1059 is 1.
Lets's calculate GCF of 3224,1059
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3224,1059 By Matching Biggest Common Factor Method
Now, list down the factors of 3224
:1,2,4,8,13,26,31,52,62,104,124,248,403,806,1612,3224
Now, list down the factors of 1059
:1,3,353,1059
Greatest Common Factor
We found the factors 3224,1059 . The biggest common factor number is the GCF number.
So the greatest common factor 3224,1059 is 1.
Lets's calculate LCM of 328,422
| 2 | 328, 422 |
| 164, 211 |
∴ So the LCM of the given numbers is 2 x 164 x 211 = 69208
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/69208
Therefore, the GCF of Fractions 3224/328,1059/422 is 1/69208
Least Common Multiple of 328,422 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 328,422 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(328,422) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(328,422) x common factors =2 x 1 = 2
LCM(328,422) = ( 328 × 422 ) / 2
LCM(328,422) = 138416 / 2
LCM(328,422) = 69208
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FAQs on GCF of Fractions of 3224/328, 1059/422
1. What is the HCF of 3224,1059?
The HCF of 3224,1059 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 3224/328, 1059/422?
Answer: GCF of Numerators as per given numbers 3224/328, 1059/422 is
GCF of Numerators i.e. for 3224,1059 is 1
LCM of denominators i.e. for 328,422 is 69208.
Thus, GCF of Fractions is 1/69208.Finally, GCF of Fractions for 3224/328, 1059/422 is 1/69208.