GCF of 666/670, 454/625
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 666/670, 454/625 i.e 2/83750 easily. The following is the detailed procedure to determine the greatest common factor of fractions 666/670, 454/625.
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 666/670,454/625?
Given fractions are 666/670,454/625
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 666/670,454/625, numerators are 666,454
Denominators are 670,625
The GCF of 666,454 is 2 .
LCM of 670,625 is 83750.
The greatest common factor of 666/670,454/625 = [GCF of 666,454]/[LCM of 670,625]= 2/83750
Therefore, the GCF of 666/670,454/625 is 2/83750.
To find the highest common factor of 666,454, we have to find the factors of both numbers and list the highest common factor.
The factors of 666 are 1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666
The factors of 454 are 1, 2, 227, 454
The HCF of 666,454 is 2.
Lets's calculate GCF of 666,454
| 2 | 666, 454 |
| 333, 227 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 666,454 By Matching Biggest Common Factor Method
Now, list down the factors of 666
:1,2,3,6,9,18,37,74,111,222,333,666
Now, list down the factors of 454
:1,2,227,454
Greatest Common Factor
We found the factors 666,454 . The biggest common factor number is the GCF number.
So the greatest common factor 666,454 is 2.
Lets's calculate LCM of 670,625
| 5 | 670, 625 |
| 134, 125 |
∴ So the LCM of the given numbers is 5 x 134 x 125 = 83750
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/83750
Therefore, the GCF of Fractions 666/670,454/625 is 2/83750
Least Common Multiple of 670,625 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 670,625 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(670,625) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(670,625) x common factors =5 x 1 = 5
LCM(670,625) = ( 670 × 625 ) / 5
LCM(670,625) = 418750 / 5
LCM(670,625) = 83750
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FAQs on GCF of Fractions of 666/670, 454/625
1. What is the HCF of 666,454?
The HCF of 666,454 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 666/670, 454/625?
Answer: GCF of Numerators as per given numbers 666/670, 454/625 is
GCF of Numerators i.e. for 666,454 is 2
LCM of denominators i.e. for 670,625 is 83750.
Thus, GCF of Fractions is 2/83750.Finally, GCF of Fractions for 666/670, 454/625 is 2/83750.