GCF of 34/994, 162/819, 572/814
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 34/994, 162/819, 572/814 i.e 2/47333286 easily. The following is the detailed procedure to determine the greatest common factor of fractions 34/994, 162/819, 572/814.
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 34/994,162/819,572/814?
Given fractions are 34/994,162/819,572/814
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 34/994,162/819,572/814, numerators are 34,162,572
Denominators are 994,819,814
The GCF of 34,162,572 is 2 .
LCM of 994,819,814 is 47333286.
The greatest common factor of 34/994,162/819,572/814 = [GCF of 34,162,572]/[LCM of 994,819,814]= 2/47333286
Therefore, the GCF of 34/994,162/819,572/814 is 2/47333286.
To find the highest common factor of 34,162,572, we have to find the factors of both numbers and list the highest common factor.
The factors of 34 are 1, 2, 17, 34
The factors of 162 are 1, 2, 3, 6, 9, 18, 27, 54, 81, 162
The factors of 572 are 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
The HCF of 34,162,572 is 2.
Lets's calculate GCF of 34,162,572
| 2 | 34, 162, 572 |
| 17, 81, 286 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 34,162,572 By Matching Biggest Common Factor Method
Now, list down the factors of 34
:1,2,17,34
Now, list down the factors of 162
:1,2,3,6,9,18,27,54,81,162
Now, list down the factors of 572
:1,2,4,11,13,22,26,44,52,143,286,572
Greatest Common Factor
We found the factors 34,162,572 . The biggest common factor number is the GCF number.
So the greatest common factor 34,162,572 is 2.
Lets's calculate LCM of 994,819,814
| 2 | 994, 819, 814 |
| 7 | 497, 819, 407 |
| 71, 117, 407 |
∴ So the LCM of the given numbers is 2 x 7 x 71 x 117 x 407 = 47333286
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/47333286
Therefore, the GCF of Fractions 34/994,162/819,572/814 is 2/47333286
Least Common Multiple of 994,819,814 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 994,819,814 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(994,819,814) = 1
common factors(in case of two or more numbers have common factors) = 14
GCF(994,819,814) x common factors =1 x 14 = 14
LCM(994,819,814) = ( 994 × 819 × 814 ) / 14
LCM(994,819,814) = 662666004 / 14
LCM(994,819,814) = 47333286
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FAQs on GCF of Fractions of 34/994, 162/819, 572/814
1. What is the HCF of 34,162,572?
The HCF of 34,162,572 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 34/994, 162/819, 572/814?
Answer: GCF of Numerators as per given numbers 34/994, 162/819, 572/814 is
GCF of Numerators i.e. for 34,162,572 is 2
LCM of denominators i.e. for 994,819,814 is 47333286.
Thus, GCF of Fractions is 2/47333286.Finally, GCF of Fractions for 34/994, 162/819, 572/814 is 2/47333286.