GCF of 4289/734, 7869/134
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4289/734, 7869/134 i.e 1/49178 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4289/734, 7869/134.
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 4289/734,7869/134?
Given fractions are 4289/734,7869/134
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 4289/734,7869/134, numerators are 4289,7869
Denominators are 734,134
The GCF of 4289,7869 is 1 .
LCM of 734,134 is 49178.
The greatest common factor of 4289/734,7869/134 = [GCF of 4289,7869]/[LCM of 734,134]= 1/49178
Therefore, the GCF of 4289/734,7869/134 is 1/49178.
To find the highest common factor of 4289,7869, we have to find the factors of both numbers and list the highest common factor.
The factors of 4289 are 1, 4289
The factors of 7869 are 1, 3, 43, 61, 129, 183, 2623, 7869
The HCF of 4289,7869 is 1.
Lets's calculate GCF of 4289,7869
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4289,7869 By Matching Biggest Common Factor Method
Now, list down the factors of 4289
:1,4289
Now, list down the factors of 7869
:1,3,43,61,129,183,2623,7869
Greatest Common Factor
We found the factors 4289,7869 . The biggest common factor number is the GCF number.
So the greatest common factor 4289,7869 is 1.
Lets's calculate LCM of 734,134
| 2 | 734, 134 |
| 367, 67 |
∴ So the LCM of the given numbers is 2 x 367 x 67 = 49178
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/49178
Therefore, the GCF of Fractions 4289/734,7869/134 is 1/49178
Least Common Multiple of 734,134 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 734,134 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(734,134) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(734,134) x common factors =2 x 1 = 2
LCM(734,134) = ( 734 × 134 ) / 2
LCM(734,134) = 98356 / 2
LCM(734,134) = 49178
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FAQs on GCF of Fractions of 4289/734, 7869/134
1. What is the HCF of 4289,7869?
The HCF of 4289,7869 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 4289/734, 7869/134?
Answer: GCF of Numerators as per given numbers 4289/734, 7869/134 is
GCF of Numerators i.e. for 4289,7869 is 1
LCM of denominators i.e. for 734,134 is 49178.
Thus, GCF of Fractions is 1/49178.Finally, GCF of Fractions for 4289/734, 7869/134 is 1/49178.