GCF of 146/66, 438/649
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 146/66, 438/649 i.e 146/3894 easily. The following is the detailed procedure to determine the greatest common factor of fractions 146/66, 438/649.
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 146/66,438/649?
Given fractions are 146/66,438/649
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 146/66,438/649, numerators are 146,438
Denominators are 66,649
The GCF of 146,438 is 146 .
LCM of 66,649 is 3894.
The greatest common factor of 146/66,438/649 = [GCF of 146,438]/[LCM of 66,649]= 146/3894
Therefore, the GCF of 146/66,438/649 is 146/3894.
To find the highest common factor of 146,438, we have to find the factors of both numbers and list the highest common factor.
The factors of 146 are 1, 2, 73, 146
The factors of 438 are 1, 2, 3, 6, 73, 146, 219, 438
The HCF of 146,438 is 146.
Lets's calculate GCF of 146,438
| 2 | 146, 438 |
| 73 | 73, 219 |
| 1, 3 |
∴ So the GCF of the given numbers is 2 x 73 = 146
Greatest Common Factor of 146,438 By Matching Biggest Common Factor Method
Now, list down the factors of 146
:1,2,73,146
Now, list down the factors of 438
:1,2,3,6,73,146,219,438
Greatest Common Factor
We found the factors 146,438 . The biggest common factor number is the GCF number.
So the greatest common factor 146,438 is 146.
Lets's calculate LCM of 66,649
| 11 | 66, 649 |
| 6, 59 |
∴ So the LCM of the given numbers is 11 x 6 x 59 = 3894
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 146/3894
Therefore, the GCF of Fractions 146/66,438/649 is 146/3894
Least Common Multiple of 66,649 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 66,649 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(66,649) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(66,649) x common factors =11 x 1 = 11
LCM(66,649) = ( 66 × 649 ) / 11
LCM(66,649) = 42834 / 11
LCM(66,649) = 3894
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FAQs on GCF of Fractions of 146/66, 438/649
1. What is the HCF of 146,438?
The HCF of 146,438 is 146
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 146/66, 438/649?
Answer: GCF of Numerators as per given numbers 146/66, 438/649 is
GCF of Numerators i.e. for 146,438 is 146
LCM of denominators i.e. for 66,649 is 3894.
Thus, GCF of Fractions is 146/3894.Finally, GCF of Fractions for 146/66, 438/649 is 146/3894.