GCF of 7223/436, 8234/1120
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7223/436, 8234/1120 i.e 1/122080 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7223/436, 8234/1120.
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 7223/436,8234/1120?
Given fractions are 7223/436,8234/1120
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 7223/436,8234/1120, numerators are 7223,8234
Denominators are 436,1120
The GCF of 7223,8234 is 1 .
LCM of 436,1120 is 122080.
The greatest common factor of 7223/436,8234/1120 = [GCF of 7223,8234]/[LCM of 436,1120]= 1/122080
Therefore, the GCF of 7223/436,8234/1120 is 1/122080.
To find the highest common factor of 7223,8234, we have to find the factors of both numbers and list the highest common factor.
The factors of 7223 are 1, 31, 233, 7223
The factors of 8234 are 1, 2, 23, 46, 179, 358, 4117, 8234
The HCF of 7223,8234 is 1.
Lets's calculate GCF of 7223,8234
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7223,8234 By Matching Biggest Common Factor Method
Now, list down the factors of 7223
:1,31,233,7223
Now, list down the factors of 8234
:1,2,23,46,179,358,4117,8234
Greatest Common Factor
We found the factors 7223,8234 . The biggest common factor number is the GCF number.
So the greatest common factor 7223,8234 is 1.
Lets's calculate LCM of 436,1120
| 2 | 436, 1120 |
| 2 | 218, 560 |
| 109, 280 |
∴ So the LCM of the given numbers is 2 x 2 x 109 x 280 = 122080
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/122080
Therefore, the GCF of Fractions 7223/436,8234/1120 is 1/122080
Least Common Multiple of 436,1120 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 436,1120 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(436,1120) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(436,1120) x common factors =4 x 1 = 4
LCM(436,1120) = ( 436 × 1120 ) / 4
LCM(436,1120) = 488320 / 4
LCM(436,1120) = 122080
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FAQs on GCF of Fractions of 7223/436, 8234/1120
1. What is the HCF of 7223,8234?
The HCF of 7223,8234 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 7223/436, 8234/1120?
Answer: GCF of Numerators as per given numbers 7223/436, 8234/1120 is
GCF of Numerators i.e. for 7223,8234 is 1
LCM of denominators i.e. for 436,1120 is 122080.
Thus, GCF of Fractions is 1/122080.Finally, GCF of Fractions for 7223/436, 8234/1120 is 1/122080.