GCF of 808/678, 5667/576
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 808/678, 5667/576 i.e 1/65088 easily. The following is the detailed procedure to determine the greatest common factor of fractions 808/678, 5667/576.
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 808/678,5667/576?
Given fractions are 808/678,5667/576
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 808/678,5667/576, numerators are 808,5667
Denominators are 678,576
The GCF of 808,5667 is 1 .
LCM of 678,576 is 65088.
The greatest common factor of 808/678,5667/576 = [GCF of 808,5667]/[LCM of 678,576]= 1/65088
Therefore, the GCF of 808/678,5667/576 is 1/65088.
To find the highest common factor of 808,5667, we have to find the factors of both numbers and list the highest common factor.
The factors of 808 are 1, 2, 4, 8, 101, 202, 404, 808
The factors of 5667 are 1, 3, 1889, 5667
The HCF of 808,5667 is 1.
Lets's calculate GCF of 808,5667
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 808,5667 By Matching Biggest Common Factor Method
Now, list down the factors of 808
:1,2,4,8,101,202,404,808
Now, list down the factors of 5667
:1,3,1889,5667
Greatest Common Factor
We found the factors 808,5667 . The biggest common factor number is the GCF number.
So the greatest common factor 808,5667 is 1.
Lets's calculate LCM of 678,576
| 2 | 678, 576 |
| 3 | 339, 288 |
| 113, 96 |
∴ So the LCM of the given numbers is 2 x 3 x 113 x 96 = 65088
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/65088
Therefore, the GCF of Fractions 808/678,5667/576 is 1/65088
Least Common Multiple of 678,576 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 678,576 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(678,576) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(678,576) x common factors =6 x 1 = 6
LCM(678,576) = ( 678 × 576 ) / 6
LCM(678,576) = 390528 / 6
LCM(678,576) = 65088
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FAQs on GCF of Fractions of 808/678, 5667/576
1. What is the HCF of 808,5667?
The HCF of 808,5667 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 808/678, 5667/576?
Answer: GCF of Numerators as per given numbers 808/678, 5667/576 is
GCF of Numerators i.e. for 808,5667 is 1
LCM of denominators i.e. for 678,576 is 65088.
Thus, GCF of Fractions is 1/65088.Finally, GCF of Fractions for 808/678, 5667/576 is 1/65088.