GCF of 70/20, 666/20, 831/995
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 70/20, 666/20, 831/995 i.e 1/3980 easily. The following is the detailed procedure to determine the greatest common factor of fractions 70/20, 666/20, 831/995.
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 70/20,666/20,831/995?
Given fractions are 70/20,666/20,831/995
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 70/20,666/20,831/995, numerators are 70,666,831
Denominators are 20,20,995
The GCF of 70,666,831 is 1 .
LCM of 20,20,995 is 3980.
The greatest common factor of 70/20,666/20,831/995 = [GCF of 70,666,831]/[LCM of 20,20,995]= 1/3980
Therefore, the GCF of 70/20,666/20,831/995 is 1/3980.
To find the highest common factor of 70,666,831, we have to find the factors of both numbers and list the highest common factor.
The factors of 70 are 1, 2, 5, 7, 10, 14, 35, 70
The factors of 666 are 1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666
The factors of 831 are 1, 3, 277, 831
The HCF of 70,666,831 is 1.
Lets's calculate GCF of 70,666,831
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 70,666,831 By Matching Biggest Common Factor Method
Now, list down the factors of 70
:1,2,5,7,10,14,35,70
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 831
:1,3,277,831
Greatest Common Factor
We found the factors 70,666,831 . The biggest common factor number is the GCF number.
So the greatest common factor 70,666,831 is 1.
Lets's calculate LCM of 20,20,995
| 2 | 20, 20, 995 |
| 2 | 10, 10, 995 |
| 5 | 5, 5, 995 |
| 1, 1, 199 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 1 x 1 x 199 = 3980
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3980
Therefore, the GCF of Fractions 70/20,666/20,831/995 is 1/3980
Least Common Multiple of 20,20,995 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 20,20,995 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,20,995) = 5
common factors(in case of two or more numbers have common factors) = 20
GCF(20,20,995) x common factors =5 x 20 = 100
LCM(20,20,995) = ( 20 × 20 × 995 ) / 100
LCM(20,20,995) = 398000 / 100
LCM(20,20,995) = 3980
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FAQs on GCF of Fractions of 70/20, 666/20, 831/995
1. What is the HCF of 70,666,831?
The HCF of 70,666,831 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 70/20, 666/20, 831/995?
Answer: GCF of Numerators as per given numbers 70/20, 666/20, 831/995 is
GCF of Numerators i.e. for 70,666,831 is 1
LCM of denominators i.e. for 20,20,995 is 3980.
Thus, GCF of Fractions is 1/3980.Finally, GCF of Fractions for 70/20, 666/20, 831/995 is 1/3980.