GCF of 223/508, 808/574
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 223/508, 808/574 i.e 1/145796 easily. The following is the detailed procedure to determine the greatest common factor of fractions 223/508, 808/574.
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 223/508,808/574?
Given fractions are 223/508,808/574
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 223/508,808/574, numerators are 223,808
Denominators are 508,574
The GCF of 223,808 is 1 .
LCM of 508,574 is 145796.
The greatest common factor of 223/508,808/574 = [GCF of 223,808]/[LCM of 508,574]= 1/145796
Therefore, the GCF of 223/508,808/574 is 1/145796.
To find the highest common factor of 223,808, we have to find the factors of both numbers and list the highest common factor.
The factors of 223 are 1, 223
The factors of 808 are 1, 2, 4, 8, 101, 202, 404, 808
The HCF of 223,808 is 1.
Lets's calculate GCF of 223,808
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 223,808 By Matching Biggest Common Factor Method
Now, list down the factors of 223
:1,223
Now, list down the factors of 808
:1,2,4,8,101,202,404,808
Greatest Common Factor
We found the factors 223,808 . The biggest common factor number is the GCF number.
So the greatest common factor 223,808 is 1.
Lets's calculate LCM of 508,574
| 2 | 508, 574 |
| 254, 287 |
∴ So the LCM of the given numbers is 2 x 254 x 287 = 145796
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/145796
Therefore, the GCF of Fractions 223/508,808/574 is 1/145796
Least Common Multiple of 508,574 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 508,574 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(508,574) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(508,574) x common factors =2 x 1 = 2
LCM(508,574) = ( 508 × 574 ) / 2
LCM(508,574) = 291592 / 2
LCM(508,574) = 145796
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FAQs on GCF of Fractions of 223/508, 808/574
1. What is the HCF of 223,808?
The HCF of 223,808 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 223/508, 808/574?
Answer: GCF of Numerators as per given numbers 223/508, 808/574 is
GCF of Numerators i.e. for 223,808 is 1
LCM of denominators i.e. for 508,574 is 145796.
Thus, GCF of Fractions is 1/145796.Finally, GCF of Fractions for 223/508, 808/574 is 1/145796.