GCF of 5636/714, 4610/9347
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5636/714, 4610/9347 i.e 2/6673758 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5636/714, 4610/9347.
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 5636/714,4610/9347?
Given fractions are 5636/714,4610/9347
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 5636/714,4610/9347, numerators are 5636,4610
Denominators are 714,9347
The GCF of 5636,4610 is 2 .
LCM of 714,9347 is 6673758.
The greatest common factor of 5636/714,4610/9347 = [GCF of 5636,4610]/[LCM of 714,9347]= 2/6673758
Therefore, the GCF of 5636/714,4610/9347 is 2/6673758.
To find the highest common factor of 5636,4610, we have to find the factors of both numbers and list the highest common factor.
The factors of 5636 are 1, 2, 4, 1409, 2818, 5636
The factors of 4610 are 1, 2, 5, 10, 461, 922, 2305, 4610
The HCF of 5636,4610 is 2.
Lets's calculate GCF of 5636,4610
| 2 | 5636, 4610 |
| 2818, 2305 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5636,4610 By Matching Biggest Common Factor Method
Now, list down the factors of 5636
:1,2,4,1409,2818,5636
Now, list down the factors of 4610
:1,2,5,10,461,922,2305,4610
Greatest Common Factor
We found the factors 5636,4610 . The biggest common factor number is the GCF number.
So the greatest common factor 5636,4610 is 2.
Lets's calculate LCM of 714,9347
Given numbers has no common factors except 1. So, there LCM is their product i.e 6673758
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6673758
Therefore, the GCF of Fractions 5636/714,4610/9347 is 2/6673758
Least Common Multiple of 714,9347 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 714,9347 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(714,9347) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(714,9347) x common factors =1 x 1 = 1
LCM(714,9347) = ( 714 × 9347 ) / 1
LCM(714,9347) = 6673758 / 1
LCM(714,9347) = 6673758
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FAQs on GCF of Fractions of 5636/714, 4610/9347
1. What is the HCF of 5636,4610?
The HCF of 5636,4610 is 2
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 5636/714, 4610/9347?
Answer: GCF of Numerators as per given numbers 5636/714, 4610/9347 is
GCF of Numerators i.e. for 5636,4610 is 2
LCM of denominators i.e. for 714,9347 is 6673758.
Thus, GCF of Fractions is 2/6673758.Finally, GCF of Fractions for 5636/714, 4610/9347 is 2/6673758.