GCF of 406/843, 1152/719
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 406/843, 1152/719 i.e 2/606117 easily. The following is the detailed procedure to determine the greatest common factor of fractions 406/843, 1152/719.
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 406/843,1152/719?
Given fractions are 406/843,1152/719
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 406/843,1152/719, numerators are 406,1152
Denominators are 843,719
The GCF of 406,1152 is 2 .
LCM of 843,719 is 606117.
The greatest common factor of 406/843,1152/719 = [GCF of 406,1152]/[LCM of 843,719]= 2/606117
Therefore, the GCF of 406/843,1152/719 is 2/606117.
To find the highest common factor of 406,1152, we have to find the factors of both numbers and list the highest common factor.
The factors of 406 are 1, 2, 7, 14, 29, 58, 203, 406
The factors of 1152 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 128, 144, 192, 288, 384, 576, 1152
The HCF of 406,1152 is 2.
Lets's calculate GCF of 406,1152
| 2 | 406, 1152 |
| 203, 576 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 406,1152 By Matching Biggest Common Factor Method
Now, list down the factors of 406
:1,2,7,14,29,58,203,406
Now, list down the factors of 1152
:1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,128,144,192,288,384,576,1152
Greatest Common Factor
We found the factors 406,1152 . The biggest common factor number is the GCF number.
So the greatest common factor 406,1152 is 2.
Lets's calculate LCM of 843,719
Given numbers has no common factors except 1. So, there LCM is their product i.e 606117
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/606117
Therefore, the GCF of Fractions 406/843,1152/719 is 2/606117
Least Common Multiple of 843,719 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 843,719 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(843,719) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(843,719) x common factors =1 x 1 = 1
LCM(843,719) = ( 843 × 719 ) / 1
LCM(843,719) = 606117 / 1
LCM(843,719) = 606117
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FAQs on GCF of Fractions of 406/843, 1152/719
1. What is the HCF of 406,1152?
The HCF of 406,1152 is 2
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 406/843, 1152/719?
Answer: GCF of Numerators as per given numbers 406/843, 1152/719 is
GCF of Numerators i.e. for 406,1152 is 2
LCM of denominators i.e. for 843,719 is 606117.
Thus, GCF of Fractions is 2/606117.Finally, GCF of Fractions for 406/843, 1152/719 is 2/606117.