GCF of 6798/415, 8416/6448
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6798/415, 8416/6448 i.e 2/2675920 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6798/415, 8416/6448.
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 6798/415,8416/6448?
Given fractions are 6798/415,8416/6448
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 6798/415,8416/6448, numerators are 6798,8416
Denominators are 415,6448
The GCF of 6798,8416 is 2 .
LCM of 415,6448 is 2675920.
The greatest common factor of 6798/415,8416/6448 = [GCF of 6798,8416]/[LCM of 415,6448]= 2/2675920
Therefore, the GCF of 6798/415,8416/6448 is 2/2675920.
To find the highest common factor of 6798,8416, we have to find the factors of both numbers and list the highest common factor.
The factors of 6798 are 1, 2, 3, 6, 11, 22, 33, 66, 103, 206, 309, 618, 1133, 2266, 3399, 6798
The factors of 8416 are 1, 2, 4, 8, 16, 32, 263, 526, 1052, 2104, 4208, 8416
The HCF of 6798,8416 is 2.
Lets's calculate GCF of 6798,8416
| 2 | 6798, 8416 |
| 3399, 4208 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6798,8416 By Matching Biggest Common Factor Method
Now, list down the factors of 6798
:1,2,3,6,11,22,33,66,103,206,309,618,1133,2266,3399,6798
Now, list down the factors of 8416
:1,2,4,8,16,32,263,526,1052,2104,4208,8416
Greatest Common Factor
We found the factors 6798,8416 . The biggest common factor number is the GCF number.
So the greatest common factor 6798,8416 is 2.
Lets's calculate LCM of 415,6448
Given numbers has no common factors except 1. So, there LCM is their product i.e 2675920
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2675920
Therefore, the GCF of Fractions 6798/415,8416/6448 is 2/2675920
Least Common Multiple of 415,6448 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 415,6448 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(415,6448) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(415,6448) x common factors =1 x 1 = 1
LCM(415,6448) = ( 415 × 6448 ) / 1
LCM(415,6448) = 2675920 / 1
LCM(415,6448) = 2675920
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FAQs on GCF of Fractions of 6798/415, 8416/6448
1. What is the HCF of 6798,8416?
The HCF of 6798,8416 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 6798/415, 8416/6448?
Answer: GCF of Numerators as per given numbers 6798/415, 8416/6448 is
GCF of Numerators i.e. for 6798,8416 is 2
LCM of denominators i.e. for 415,6448 is 2675920.
Thus, GCF of Fractions is 2/2675920.Finally, GCF of Fractions for 6798/415, 8416/6448 is 2/2675920.