GCF of 4342/224, 8547/1253
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4342/224, 8547/1253 i.e 1/40096 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4342/224, 8547/1253.
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 4342/224,8547/1253?
Given fractions are 4342/224,8547/1253
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 4342/224,8547/1253, numerators are 4342,8547
Denominators are 224,1253
The GCF of 4342,8547 is 1 .
LCM of 224,1253 is 40096.
The greatest common factor of 4342/224,8547/1253 = [GCF of 4342,8547]/[LCM of 224,1253]= 1/40096
Therefore, the GCF of 4342/224,8547/1253 is 1/40096.
To find the highest common factor of 4342,8547, we have to find the factors of both numbers and list the highest common factor.
The factors of 4342 are 1, 2, 13, 26, 167, 334, 2171, 4342
The factors of 8547 are 1, 3, 7, 11, 21, 33, 37, 77, 111, 231, 259, 407, 777, 1221, 2849, 8547
The HCF of 4342,8547 is 1.
Lets's calculate GCF of 4342,8547
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4342,8547 By Matching Biggest Common Factor Method
Now, list down the factors of 4342
:1,2,13,26,167,334,2171,4342
Now, list down the factors of 8547
:1,3,7,11,21,33,37,77,111,231,259,407,777,1221,2849,8547
Greatest Common Factor
We found the factors 4342,8547 . The biggest common factor number is the GCF number.
So the greatest common factor 4342,8547 is 1.
Lets's calculate LCM of 224,1253
| 7 | 224, 1253 |
| 32, 179 |
∴ So the LCM of the given numbers is 7 x 32 x 179 = 40096
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/40096
Therefore, the GCF of Fractions 4342/224,8547/1253 is 1/40096
Least Common Multiple of 224,1253 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 224,1253 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(224,1253) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(224,1253) x common factors =7 x 1 = 7
LCM(224,1253) = ( 224 × 1253 ) / 7
LCM(224,1253) = 280672 / 7
LCM(224,1253) = 40096
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FAQs on GCF of Fractions of 4342/224, 8547/1253
1. What is the HCF of 4342,8547?
The HCF of 4342,8547 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 4342/224, 8547/1253?
Answer: GCF of Numerators as per given numbers 4342/224, 8547/1253 is
GCF of Numerators i.e. for 4342,8547 is 1
LCM of denominators i.e. for 224,1253 is 40096.
Thus, GCF of Fractions is 1/40096.Finally, GCF of Fractions for 4342/224, 8547/1253 is 1/40096.