GCF of 146/458, 6500/6995
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 146/458, 6500/6995 i.e 2/3203710 easily. The following is the detailed procedure to determine the greatest common factor of fractions 146/458, 6500/6995.
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 146/458,6500/6995?
Given fractions are 146/458,6500/6995
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 146/458,6500/6995, numerators are 146,6500
Denominators are 458,6995
The GCF of 146,6500 is 2 .
LCM of 458,6995 is 3203710.
The greatest common factor of 146/458,6500/6995 = [GCF of 146,6500]/[LCM of 458,6995]= 2/3203710
Therefore, the GCF of 146/458,6500/6995 is 2/3203710.
To find the highest common factor of 146,6500, 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 6500 are 1, 2, 4, 5, 10, 13, 20, 25, 26, 50, 52, 65, 100, 125, 130, 250, 260, 325, 500, 650, 1300, 1625, 3250, 6500
The HCF of 146,6500 is 2.
Lets's calculate GCF of 146,6500
| 2 | 146, 6500 |
| 73, 3250 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 146,6500 By Matching Biggest Common Factor Method
Now, list down the factors of 146
:1,2,73,146
Now, list down the factors of 6500
:1,2,4,5,10,13,20,25,26,50,52,65,100,125,130,250,260,325,500,650,1300,1625,3250,6500
Greatest Common Factor
We found the factors 146,6500 . The biggest common factor number is the GCF number.
So the greatest common factor 146,6500 is 2.
Lets's calculate LCM of 458,6995
Given numbers has no common factors except 1. So, there LCM is their product i.e 3203710
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3203710
Therefore, the GCF of Fractions 146/458,6500/6995 is 2/3203710
Least Common Multiple of 458,6995 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 458,6995 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(458,6995) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(458,6995) x common factors =1 x 1 = 1
LCM(458,6995) = ( 458 × 6995 ) / 1
LCM(458,6995) = 3203710 / 1
LCM(458,6995) = 3203710
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FAQs on GCF of Fractions of 146/458, 6500/6995
1. What is the HCF of 146,6500?
The HCF of 146,6500 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 146/458, 6500/6995?
Answer: GCF of Numerators as per given numbers 146/458, 6500/6995 is
GCF of Numerators i.e. for 146,6500 is 2
LCM of denominators i.e. for 458,6995 is 3203710.
Thus, GCF of Fractions is 2/3203710.Finally, GCF of Fractions for 146/458, 6500/6995 is 2/3203710.