GCF of 5567/104, 3647/7368
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5567/104, 3647/7368 i.e 1/95784 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5567/104, 3647/7368.
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 5567/104,3647/7368?
Given fractions are 5567/104,3647/7368
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 5567/104,3647/7368, numerators are 5567,3647
Denominators are 104,7368
The GCF of 5567,3647 is 1 .
LCM of 104,7368 is 95784.
The greatest common factor of 5567/104,3647/7368 = [GCF of 5567,3647]/[LCM of 104,7368]= 1/95784
Therefore, the GCF of 5567/104,3647/7368 is 1/95784.
To find the highest common factor of 5567,3647, we have to find the factors of both numbers and list the highest common factor.
The factors of 5567 are 1, 19, 293, 5567
The factors of 3647 are 1, 7, 521, 3647
The HCF of 5567,3647 is 1.
Lets's calculate GCF of 5567,3647
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5567,3647 By Matching Biggest Common Factor Method
Now, list down the factors of 5567
:1,19,293,5567
Now, list down the factors of 3647
:1,7,521,3647
Greatest Common Factor
We found the factors 5567,3647 . The biggest common factor number is the GCF number.
So the greatest common factor 5567,3647 is 1.
Lets's calculate LCM of 104,7368
| 2 | 104, 7368 |
| 2 | 52, 3684 |
| 2 | 26, 1842 |
| 13, 921 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 13 x 921 = 95784
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/95784
Therefore, the GCF of Fractions 5567/104,3647/7368 is 1/95784
Least Common Multiple of 104,7368 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 104,7368 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(104,7368) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(104,7368) x common factors =8 x 1 = 8
LCM(104,7368) = ( 104 × 7368 ) / 8
LCM(104,7368) = 766272 / 8
LCM(104,7368) = 95784
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FAQs on GCF of Fractions of 5567/104, 3647/7368
1. What is the HCF of 5567,3647?
The HCF of 5567,3647 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 5567/104, 3647/7368?
Answer: GCF of Numerators as per given numbers 5567/104, 3647/7368 is
GCF of Numerators i.e. for 5567,3647 is 1
LCM of denominators i.e. for 104,7368 is 95784.
Thus, GCF of Fractions is 1/95784.Finally, GCF of Fractions for 5567/104, 3647/7368 is 1/95784.