GCF of 534/180, 846/459
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 534/180, 846/459 i.e 6/9180 easily. The following is the detailed procedure to determine the greatest common factor of fractions 534/180, 846/459.
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 534/180,846/459?
Given fractions are 534/180,846/459
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 534/180,846/459, numerators are 534,846
Denominators are 180,459
The GCF of 534,846 is 6 .
LCM of 180,459 is 9180.
The greatest common factor of 534/180,846/459 = [GCF of 534,846]/[LCM of 180,459]= 6/9180
Therefore, the GCF of 534/180,846/459 is 6/9180.
To find the highest common factor of 534,846, we have to find the factors of both numbers and list the highest common factor.
The factors of 534 are 1, 2, 3, 6, 89, 178, 267, 534
The factors of 846 are 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
The HCF of 534,846 is 6.
Lets's calculate GCF of 534,846
| 2 | 534, 846 |
| 3 | 267, 423 |
| 89, 141 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 534,846 By Matching Biggest Common Factor Method
Now, list down the factors of 534
:1,2,3,6,89,178,267,534
Now, list down the factors of 846
:1,2,3,6,9,18,47,94,141,282,423,846
Greatest Common Factor
We found the factors 534,846 . The biggest common factor number is the GCF number.
So the greatest common factor 534,846 is 6.
Lets's calculate LCM of 180,459
| 3 | 180, 459 |
| 3 | 60, 153 |
| 20, 51 |
∴ So the LCM of the given numbers is 3 x 3 x 20 x 51 = 9180
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/9180
Therefore, the GCF of Fractions 534/180,846/459 is 6/9180
Least Common Multiple of 180,459 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 180,459 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(180,459) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(180,459) x common factors =9 x 1 = 9
LCM(180,459) = ( 180 × 459 ) / 9
LCM(180,459) = 82620 / 9
LCM(180,459) = 9180
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FAQs on GCF of Fractions of 534/180, 846/459
1. What is the HCF of 534,846?
The HCF of 534,846 is 6
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 534/180, 846/459?
Answer: GCF of Numerators as per given numbers 534/180, 846/459 is
GCF of Numerators i.e. for 534,846 is 6
LCM of denominators i.e. for 180,459 is 9180.
Thus, GCF of Fractions is 6/9180.Finally, GCF of Fractions for 534/180, 846/459 is 6/9180.