GCF of 5569/564, 7268/3813
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5569/564, 7268/3813 i.e 1/716844 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5569/564, 7268/3813.
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 5569/564,7268/3813?
Given fractions are 5569/564,7268/3813
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 5569/564,7268/3813, numerators are 5569,7268
Denominators are 564,3813
The GCF of 5569,7268 is 1 .
LCM of 564,3813 is 716844.
The greatest common factor of 5569/564,7268/3813 = [GCF of 5569,7268]/[LCM of 564,3813]= 1/716844
Therefore, the GCF of 5569/564,7268/3813 is 1/716844.
To find the highest common factor of 5569,7268, we have to find the factors of both numbers and list the highest common factor.
The factors of 5569 are 1, 5569
The factors of 7268 are 1, 2, 4, 23, 46, 79, 92, 158, 316, 1817, 3634, 7268
The HCF of 5569,7268 is 1.
Lets's calculate GCF of 5569,7268
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5569,7268 By Matching Biggest Common Factor Method
Now, list down the factors of 5569
:1,5569
Now, list down the factors of 7268
:1,2,4,23,46,79,92,158,316,1817,3634,7268
Greatest Common Factor
We found the factors 5569,7268 . The biggest common factor number is the GCF number.
So the greatest common factor 5569,7268 is 1.
Lets's calculate LCM of 564,3813
| 3 | 564, 3813 |
| 188, 1271 |
∴ So the LCM of the given numbers is 3 x 188 x 1271 = 716844
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/716844
Therefore, the GCF of Fractions 5569/564,7268/3813 is 1/716844
Least Common Multiple of 564,3813 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 564,3813 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(564,3813) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(564,3813) x common factors =3 x 1 = 3
LCM(564,3813) = ( 564 × 3813 ) / 3
LCM(564,3813) = 2150532 / 3
LCM(564,3813) = 716844
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5569/564, 7268/3813
1. What is the HCF of 5569,7268?
The HCF of 5569,7268 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 5569/564, 7268/3813?
Answer: GCF of Numerators as per given numbers 5569/564, 7268/3813 is
GCF of Numerators i.e. for 5569,7268 is 1
LCM of denominators i.e. for 564,3813 is 716844.
Thus, GCF of Fractions is 1/716844.Finally, GCF of Fractions for 5569/564, 7268/3813 is 1/716844.