GCF of 1667/494, 5376/162
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1667/494, 5376/162 i.e 1/40014 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1667/494, 5376/162.
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 1667/494,5376/162?
Given fractions are 1667/494,5376/162
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 1667/494,5376/162, numerators are 1667,5376
Denominators are 494,162
The GCF of 1667,5376 is 1 .
LCM of 494,162 is 40014.
The greatest common factor of 1667/494,5376/162 = [GCF of 1667,5376]/[LCM of 494,162]= 1/40014
Therefore, the GCF of 1667/494,5376/162 is 1/40014.
To find the highest common factor of 1667,5376, we have to find the factors of both numbers and list the highest common factor.
The factors of 1667 are 1, 1667
The factors of 5376 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 64, 84, 96, 112, 128, 168, 192, 224, 256, 336, 384, 448, 672, 768, 896, 1344, 1792, 2688, 5376
The HCF of 1667,5376 is 1.
Lets's calculate GCF of 1667,5376
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1667,5376 By Matching Biggest Common Factor Method
Now, list down the factors of 1667
:1,1667
Now, list down the factors of 5376
:1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,64,84,96,112,128,168,192,224,256,336,384,448,672,768,896,1344,1792,2688,5376
Greatest Common Factor
We found the factors 1667,5376 . The biggest common factor number is the GCF number.
So the greatest common factor 1667,5376 is 1.
Lets's calculate LCM of 494,162
| 2 | 494, 162 |
| 247, 81 |
∴ So the LCM of the given numbers is 2 x 247 x 81 = 40014
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/40014
Therefore, the GCF of Fractions 1667/494,5376/162 is 1/40014
Least Common Multiple of 494,162 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 494,162 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(494,162) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(494,162) x common factors =2 x 1 = 2
LCM(494,162) = ( 494 × 162 ) / 2
LCM(494,162) = 80028 / 2
LCM(494,162) = 40014
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FAQs on GCF of Fractions of 1667/494, 5376/162
1. What is the HCF of 1667,5376?
The HCF of 1667,5376 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 1667/494, 5376/162?
Answer: GCF of Numerators as per given numbers 1667/494, 5376/162 is
GCF of Numerators i.e. for 1667,5376 is 1
LCM of denominators i.e. for 494,162 is 40014.
Thus, GCF of Fractions is 1/40014.Finally, GCF of Fractions for 1667/494, 5376/162 is 1/40014.