GCF of 5532/414, 1290/543
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5532/414, 1290/543 i.e 6/74934 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5532/414, 1290/543.
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 5532/414,1290/543?
Given fractions are 5532/414,1290/543
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 5532/414,1290/543, numerators are 5532,1290
Denominators are 414,543
The GCF of 5532,1290 is 6 .
LCM of 414,543 is 74934.
The greatest common factor of 5532/414,1290/543 = [GCF of 5532,1290]/[LCM of 414,543]= 6/74934
Therefore, the GCF of 5532/414,1290/543 is 6/74934.
To find the highest common factor of 5532,1290, we have to find the factors of both numbers and list the highest common factor.
The factors of 5532 are 1, 2, 3, 4, 6, 12, 461, 922, 1383, 1844, 2766, 5532
The factors of 1290 are 1, 2, 3, 5, 6, 10, 15, 30, 43, 86, 129, 215, 258, 430, 645, 1290
The HCF of 5532,1290 is 6.
Lets's calculate GCF of 5532,1290
| 2 | 5532, 1290 |
| 3 | 2766, 645 |
| 922, 215 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 5532,1290 By Matching Biggest Common Factor Method
Now, list down the factors of 5532
:1,2,3,4,6,12,461,922,1383,1844,2766,5532
Now, list down the factors of 1290
:1,2,3,5,6,10,15,30,43,86,129,215,258,430,645,1290
Greatest Common Factor
We found the factors 5532,1290 . The biggest common factor number is the GCF number.
So the greatest common factor 5532,1290 is 6.
Lets's calculate LCM of 414,543
| 3 | 414, 543 |
| 138, 181 |
∴ So the LCM of the given numbers is 3 x 138 x 181 = 74934
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/74934
Therefore, the GCF of Fractions 5532/414,1290/543 is 6/74934
Least Common Multiple of 414,543 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 414,543 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(414,543) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(414,543) x common factors =3 x 1 = 3
LCM(414,543) = ( 414 × 543 ) / 3
LCM(414,543) = 224802 / 3
LCM(414,543) = 74934
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FAQs on GCF of Fractions of 5532/414, 1290/543
1. What is the HCF of 5532,1290?
The HCF of 5532,1290 is 6
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 5532/414, 1290/543?
Answer: GCF of Numerators as per given numbers 5532/414, 1290/543 is
GCF of Numerators i.e. for 5532,1290 is 6
LCM of denominators i.e. for 414,543 is 74934.
Thus, GCF of Fractions is 6/74934.Finally, GCF of Fractions for 5532/414, 1290/543 is 6/74934.