GCF of 5612/433, 6818/2630
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5612/433, 6818/2630 i.e 2/1138790 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5612/433, 6818/2630.
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 5612/433,6818/2630?
Given fractions are 5612/433,6818/2630
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 5612/433,6818/2630, numerators are 5612,6818
Denominators are 433,2630
The GCF of 5612,6818 is 2 .
LCM of 433,2630 is 1138790.
The greatest common factor of 5612/433,6818/2630 = [GCF of 5612,6818]/[LCM of 433,2630]= 2/1138790
Therefore, the GCF of 5612/433,6818/2630 is 2/1138790.
To find the highest common factor of 5612,6818, we have to find the factors of both numbers and list the highest common factor.
The factors of 5612 are 1, 2, 4, 23, 46, 61, 92, 122, 244, 1403, 2806, 5612
The factors of 6818 are 1, 2, 7, 14, 487, 974, 3409, 6818
The HCF of 5612,6818 is 2.
Lets's calculate GCF of 5612,6818
| 2 | 5612, 6818 |
| 2806, 3409 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5612,6818 By Matching Biggest Common Factor Method
Now, list down the factors of 5612
:1,2,4,23,46,61,92,122,244,1403,2806,5612
Now, list down the factors of 6818
:1,2,7,14,487,974,3409,6818
Greatest Common Factor
We found the factors 5612,6818 . The biggest common factor number is the GCF number.
So the greatest common factor 5612,6818 is 2.
Lets's calculate LCM of 433,2630
Given numbers has no common factors except 1. So, there LCM is their product i.e 1138790
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1138790
Therefore, the GCF of Fractions 5612/433,6818/2630 is 2/1138790
Least Common Multiple of 433,2630 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 433,2630 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(433,2630) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(433,2630) x common factors =1 x 1 = 1
LCM(433,2630) = ( 433 × 2630 ) / 1
LCM(433,2630) = 1138790 / 1
LCM(433,2630) = 1138790
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FAQs on GCF of Fractions of 5612/433, 6818/2630
1. What is the HCF of 5612,6818?
The HCF of 5612,6818 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 5612/433, 6818/2630?
Answer: GCF of Numerators as per given numbers 5612/433, 6818/2630 is
GCF of Numerators i.e. for 5612,6818 is 2
LCM of denominators i.e. for 433,2630 is 1138790.
Thus, GCF of Fractions is 2/1138790.Finally, GCF of Fractions for 5612/433, 6818/2630 is 2/1138790.