GCF of 4286/543, 9945/8680
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4286/543, 9945/8680 i.e 1/4713240 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4286/543, 9945/8680.
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 4286/543,9945/8680?
Given fractions are 4286/543,9945/8680
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 4286/543,9945/8680, numerators are 4286,9945
Denominators are 543,8680
The GCF of 4286,9945 is 1 .
LCM of 543,8680 is 4713240.
The greatest common factor of 4286/543,9945/8680 = [GCF of 4286,9945]/[LCM of 543,8680]= 1/4713240
Therefore, the GCF of 4286/543,9945/8680 is 1/4713240.
To find the highest common factor of 4286,9945, we have to find the factors of both numbers and list the highest common factor.
The factors of 4286 are 1, 2, 2143, 4286
The factors of 9945 are 1, 3, 5, 9, 13, 15, 17, 39, 45, 51, 65, 85, 117, 153, 195, 221, 255, 585, 663, 765, 1105, 1989, 3315, 9945
The HCF of 4286,9945 is 1.
Lets's calculate GCF of 4286,9945
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4286,9945 By Matching Biggest Common Factor Method
Now, list down the factors of 4286
:1,2,2143,4286
Now, list down the factors of 9945
:1,3,5,9,13,15,17,39,45,51,65,85,117,153,195,221,255,585,663,765,1105,1989,3315,9945
Greatest Common Factor
We found the factors 4286,9945 . The biggest common factor number is the GCF number.
So the greatest common factor 4286,9945 is 1.
Lets's calculate LCM of 543,8680
Given numbers has no common factors except 1. So, there LCM is their product i.e 4713240
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4713240
Therefore, the GCF of Fractions 4286/543,9945/8680 is 1/4713240
Least Common Multiple of 543,8680 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 543,8680 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(543,8680) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(543,8680) x common factors =1 x 1 = 1
LCM(543,8680) = ( 543 × 8680 ) / 1
LCM(543,8680) = 4713240 / 1
LCM(543,8680) = 4713240
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FAQs on GCF of Fractions of 4286/543, 9945/8680
1. What is the HCF of 4286,9945?
The HCF of 4286,9945 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 4286/543, 9945/8680?
Answer: GCF of Numerators as per given numbers 4286/543, 9945/8680 is
GCF of Numerators i.e. for 4286,9945 is 1
LCM of denominators i.e. for 543,8680 is 4713240.
Thus, GCF of Fractions is 1/4713240.Finally, GCF of Fractions for 4286/543, 9945/8680 is 1/4713240.