GCF of 35/406, 67/995, 666/530
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 35/406, 67/995, 666/530 i.e 1/21410410 easily. The following is the detailed procedure to determine the greatest common factor of fractions 35/406, 67/995, 666/530.
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 35/406,67/995,666/530?
Given fractions are 35/406,67/995,666/530
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 35/406,67/995,666/530, numerators are 35,67,666
Denominators are 406,995,530
The GCF of 35,67,666 is 1 .
LCM of 406,995,530 is 21410410.
The greatest common factor of 35/406,67/995,666/530 = [GCF of 35,67,666]/[LCM of 406,995,530]= 1/21410410
Therefore, the GCF of 35/406,67/995,666/530 is 1/21410410.
To find the highest common factor of 35,67,666, we have to find the factors of both numbers and list the highest common factor.
The factors of 35 are 1, 5, 7, 35
The factors of 67 are 1, 67
The factors of 666 are 1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666
The HCF of 35,67,666 is 1.
Lets's calculate GCF of 35,67,666
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 35,67,666 By Matching Biggest Common Factor Method
Now, list down the factors of 35
:1,5,7,35
Now, list down the factors of 67
:1,67
Now, list down the factors of 666
:1,2,3,6,9,18,37,74,111,222,333,666
Greatest Common Factor
We found the factors 35,67,666 . The biggest common factor number is the GCF number.
So the greatest common factor 35,67,666 is 1.
Lets's calculate LCM of 406,995,530
| 2 | 406, 995, 530 |
| 5 | 203, 995, 265 |
| 203, 199, 53 |
∴ So the LCM of the given numbers is 2 x 5 x 203 x 199 x 53 = 21410410
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21410410
Therefore, the GCF of Fractions 35/406,67/995,666/530 is 1/21410410
Least Common Multiple of 406,995,530 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 406,995,530 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(406,995,530) = 1
common factors(in case of two or more numbers have common factors) = 10
GCF(406,995,530) x common factors =1 x 10 = 10
LCM(406,995,530) = ( 406 × 995 × 530 ) / 10
LCM(406,995,530) = 214104100 / 10
LCM(406,995,530) = 21410410
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FAQs on GCF of Fractions of 35/406, 67/995, 666/530
1. What is the HCF of 35,67,666?
The HCF of 35,67,666 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 35/406, 67/995, 666/530?
Answer: GCF of Numerators as per given numbers 35/406, 67/995, 666/530 is
GCF of Numerators i.e. for 35,67,666 is 1
LCM of denominators i.e. for 406,995,530 is 21410410.
Thus, GCF of Fractions is 1/21410410.Finally, GCF of Fractions for 35/406, 67/995, 666/530 is 1/21410410.