GCF of 3543/882, 4290/9705
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3543/882, 4290/9705 i.e 3/2853270 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3543/882, 4290/9705.
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 3543/882,4290/9705?
Given fractions are 3543/882,4290/9705
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 3543/882,4290/9705, numerators are 3543,4290
Denominators are 882,9705
The GCF of 3543,4290 is 3 .
LCM of 882,9705 is 2853270.
The greatest common factor of 3543/882,4290/9705 = [GCF of 3543,4290]/[LCM of 882,9705]= 3/2853270
Therefore, the GCF of 3543/882,4290/9705 is 3/2853270.
To find the highest common factor of 3543,4290, we have to find the factors of both numbers and list the highest common factor.
The factors of 3543 are 1, 3, 1181, 3543
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 HCF of 3543,4290 is 3.
Lets's calculate GCF of 3543,4290
| 3 | 3543, 4290 |
| 1181, 1430 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3543,4290 By Matching Biggest Common Factor Method
Now, list down the factors of 3543
:1,3,1181,3543
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
Greatest Common Factor
We found the factors 3543,4290 . The biggest common factor number is the GCF number.
So the greatest common factor 3543,4290 is 3.
Lets's calculate LCM of 882,9705
| 3 | 882, 9705 |
| 294, 3235 |
∴ So the LCM of the given numbers is 3 x 294 x 3235 = 2853270
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2853270
Therefore, the GCF of Fractions 3543/882,4290/9705 is 3/2853270
Least Common Multiple of 882,9705 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 882,9705 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(882,9705) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(882,9705) x common factors =3 x 1 = 3
LCM(882,9705) = ( 882 × 9705 ) / 3
LCM(882,9705) = 8559810 / 3
LCM(882,9705) = 2853270
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FAQs on GCF of Fractions of 3543/882, 4290/9705
1. What is the HCF of 3543,4290?
The HCF of 3543,4290 is 3
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 3543/882, 4290/9705?
Answer: GCF of Numerators as per given numbers 3543/882, 4290/9705 is
GCF of Numerators i.e. for 3543,4290 is 3
LCM of denominators i.e. for 882,9705 is 2853270.
Thus, GCF of Fractions is 3/2853270.Finally, GCF of Fractions for 3543/882, 4290/9705 is 3/2853270.