GCF of 452/722, 223/782
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 452/722, 223/782 i.e 1/282302 easily. The following is the detailed procedure to determine the greatest common factor of fractions 452/722, 223/782.
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 452/722,223/782?
Given fractions are 452/722,223/782
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 452/722,223/782, numerators are 452,223
Denominators are 722,782
The GCF of 452,223 is 1 .
LCM of 722,782 is 282302.
The greatest common factor of 452/722,223/782 = [GCF of 452,223]/[LCM of 722,782]= 1/282302
Therefore, the GCF of 452/722,223/782 is 1/282302.
To find the highest common factor of 452,223, we have to find the factors of both numbers and list the highest common factor.
The factors of 452 are 1, 2, 4, 113, 226, 452
The factors of 223 are 1, 223
The HCF of 452,223 is 1.
Lets's calculate GCF of 452,223
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 452,223 By Matching Biggest Common Factor Method
Now, list down the factors of 452
:1,2,4,113,226,452
Now, list down the factors of 223
:1,223
Greatest Common Factor
We found the factors 452,223 . The biggest common factor number is the GCF number.
So the greatest common factor 452,223 is 1.
Lets's calculate LCM of 722,782
| 2 | 722, 782 |
| 361, 391 |
∴ So the LCM of the given numbers is 2 x 361 x 391 = 282302
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/282302
Therefore, the GCF of Fractions 452/722,223/782 is 1/282302
Least Common Multiple of 722,782 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 722,782 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(722,782) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(722,782) x common factors =2 x 1 = 2
LCM(722,782) = ( 722 × 782 ) / 2
LCM(722,782) = 564604 / 2
LCM(722,782) = 282302
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FAQs on GCF of Fractions of 452/722, 223/782
1. What is the HCF of 452,223?
The HCF of 452,223 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 452/722, 223/782?
Answer: GCF of Numerators as per given numbers 452/722, 223/782 is
GCF of Numerators i.e. for 452,223 is 1
LCM of denominators i.e. for 722,782 is 282302.
Thus, GCF of Fractions is 1/282302.Finally, GCF of Fractions for 452/722, 223/782 is 1/282302.