GCF of 5228/552, 5894/569
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5228/552, 5894/569 i.e 2/314088 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5228/552, 5894/569.
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 5228/552,5894/569?
Given fractions are 5228/552,5894/569
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 5228/552,5894/569, numerators are 5228,5894
Denominators are 552,569
The GCF of 5228,5894 is 2 .
LCM of 552,569 is 314088.
The greatest common factor of 5228/552,5894/569 = [GCF of 5228,5894]/[LCM of 552,569]= 2/314088
Therefore, the GCF of 5228/552,5894/569 is 2/314088.
To find the highest common factor of 5228,5894, we have to find the factors of both numbers and list the highest common factor.
The factors of 5228 are 1, 2, 4, 1307, 2614, 5228
The factors of 5894 are 1, 2, 7, 14, 421, 842, 2947, 5894
The HCF of 5228,5894 is 2.
Lets's calculate GCF of 5228,5894
| 2 | 5228, 5894 |
| 2614, 2947 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5228,5894 By Matching Biggest Common Factor Method
Now, list down the factors of 5228
:1,2,4,1307,2614,5228
Now, list down the factors of 5894
:1,2,7,14,421,842,2947,5894
Greatest Common Factor
We found the factors 5228,5894 . The biggest common factor number is the GCF number.
So the greatest common factor 5228,5894 is 2.
Lets's calculate LCM of 552,569
Given numbers has no common factors except 1. So, there LCM is their product i.e 314088
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/314088
Therefore, the GCF of Fractions 5228/552,5894/569 is 2/314088
Least Common Multiple of 552,569 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 552,569 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(552,569) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(552,569) x common factors =1 x 1 = 1
LCM(552,569) = ( 552 × 569 ) / 1
LCM(552,569) = 314088 / 1
LCM(552,569) = 314088
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FAQs on GCF of Fractions of 5228/552, 5894/569
1. What is the HCF of 5228,5894?
The HCF of 5228,5894 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 5228/552, 5894/569?
Answer: GCF of Numerators as per given numbers 5228/552, 5894/569 is
GCF of Numerators i.e. for 5228,5894 is 2
LCM of denominators i.e. for 552,569 is 314088.
Thus, GCF of Fractions is 2/314088.Finally, GCF of Fractions for 5228/552, 5894/569 is 2/314088.