GCF of 2684/550, 6418/8124
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2684/550, 6418/8124 i.e 2/2234100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2684/550, 6418/8124.
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 2684/550,6418/8124?
Given fractions are 2684/550,6418/8124
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 2684/550,6418/8124, numerators are 2684,6418
Denominators are 550,8124
The GCF of 2684,6418 is 2 .
LCM of 550,8124 is 2234100.
The greatest common factor of 2684/550,6418/8124 = [GCF of 2684,6418]/[LCM of 550,8124]= 2/2234100
Therefore, the GCF of 2684/550,6418/8124 is 2/2234100.
To find the highest common factor of 2684,6418, we have to find the factors of both numbers and list the highest common factor.
The factors of 2684 are 1, 2, 4, 11, 22, 44, 61, 122, 244, 671, 1342, 2684
The factors of 6418 are 1, 2, 3209, 6418
The HCF of 2684,6418 is 2.
Lets's calculate GCF of 2684,6418
| 2 | 2684, 6418 |
| 1342, 3209 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2684,6418 By Matching Biggest Common Factor Method
Now, list down the factors of 2684
:1,2,4,11,22,44,61,122,244,671,1342,2684
Now, list down the factors of 6418
:1,2,3209,6418
Greatest Common Factor
We found the factors 2684,6418 . The biggest common factor number is the GCF number.
So the greatest common factor 2684,6418 is 2.
Lets's calculate LCM of 550,8124
| 2 | 550, 8124 |
| 275, 4062 |
∴ So the LCM of the given numbers is 2 x 275 x 4062 = 2234100
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2234100
Therefore, the GCF of Fractions 2684/550,6418/8124 is 2/2234100
Least Common Multiple of 550,8124 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 550,8124 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(550,8124) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(550,8124) x common factors =2 x 1 = 2
LCM(550,8124) = ( 550 × 8124 ) / 2
LCM(550,8124) = 4468200 / 2
LCM(550,8124) = 2234100
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FAQs on GCF of Fractions of 2684/550, 6418/8124
1. What is the HCF of 2684,6418?
The HCF of 2684,6418 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 2684/550, 6418/8124?
Answer: GCF of Numerators as per given numbers 2684/550, 6418/8124 is
GCF of Numerators i.e. for 2684,6418 is 2
LCM of denominators i.e. for 550,8124 is 2234100.
Thus, GCF of Fractions is 2/2234100.Finally, GCF of Fractions for 2684/550, 6418/8124 is 2/2234100.