GCF of 2075/456, 6486/8590
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2075/456, 6486/8590 i.e 1/1958520 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2075/456, 6486/8590.
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 2075/456,6486/8590?
Given fractions are 2075/456,6486/8590
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 2075/456,6486/8590, numerators are 2075,6486
Denominators are 456,8590
The GCF of 2075,6486 is 1 .
LCM of 456,8590 is 1958520.
The greatest common factor of 2075/456,6486/8590 = [GCF of 2075,6486]/[LCM of 456,8590]= 1/1958520
Therefore, the GCF of 2075/456,6486/8590 is 1/1958520.
To find the highest common factor of 2075,6486, we have to find the factors of both numbers and list the highest common factor.
The factors of 2075 are 1, 5, 25, 83, 415, 2075
The factors of 6486 are 1, 2, 3, 6, 23, 46, 47, 69, 94, 138, 141, 282, 1081, 2162, 3243, 6486
The HCF of 2075,6486 is 1.
Lets's calculate GCF of 2075,6486
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2075,6486 By Matching Biggest Common Factor Method
Now, list down the factors of 2075
:1,5,25,83,415,2075
Now, list down the factors of 6486
:1,2,3,6,23,46,47,69,94,138,141,282,1081,2162,3243,6486
Greatest Common Factor
We found the factors 2075,6486 . The biggest common factor number is the GCF number.
So the greatest common factor 2075,6486 is 1.
Lets's calculate LCM of 456,8590
| 2 | 456, 8590 |
| 228, 4295 |
∴ So the LCM of the given numbers is 2 x 228 x 4295 = 1958520
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1958520
Therefore, the GCF of Fractions 2075/456,6486/8590 is 1/1958520
Least Common Multiple of 456,8590 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 456,8590 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(456,8590) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(456,8590) x common factors =2 x 1 = 2
LCM(456,8590) = ( 456 × 8590 ) / 2
LCM(456,8590) = 3917040 / 2
LCM(456,8590) = 1958520
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FAQs on GCF of Fractions of 2075/456, 6486/8590
1. What is the HCF of 2075,6486?
The HCF of 2075,6486 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 2075/456, 6486/8590?
Answer: GCF of Numerators as per given numbers 2075/456, 6486/8590 is
GCF of Numerators i.e. for 2075,6486 is 1
LCM of denominators i.e. for 456,8590 is 1958520.
Thus, GCF of Fractions is 1/1958520.Finally, GCF of Fractions for 2075/456, 6486/8590 is 1/1958520.