GCF of 890/156, 447/866, 886/876
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 890/156, 447/866, 886/876 i.e 1/4931004 easily. The following is the detailed procedure to determine the greatest common factor of fractions 890/156, 447/866, 886/876.
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 890/156,447/866,886/876?
Given fractions are 890/156,447/866,886/876
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 890/156,447/866,886/876, numerators are 890,447,886
Denominators are 156,866,876
The GCF of 890,447,886 is 1 .
LCM of 156,866,876 is 4931004.
The greatest common factor of 890/156,447/866,886/876 = [GCF of 890,447,886]/[LCM of 156,866,876]= 1/4931004
Therefore, the GCF of 890/156,447/866,886/876 is 1/4931004.
To find the highest common factor of 890,447,886, we have to find the factors of both numbers and list the highest common factor.
The factors of 890 are 1, 2, 5, 10, 89, 178, 445, 890
The factors of 447 are 1, 3, 149, 447
The factors of 886 are 1, 2, 443, 886
The HCF of 890,447,886 is 1.
Lets's calculate GCF of 890,447,886
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 890,447,886 By Matching Biggest Common Factor Method
Now, list down the factors of 890
:1,2,5,10,89,178,445,890
Now, list down the factors of 447
:1,3,149,447
Now, list down the factors of 886
:1,2,443,886
Greatest Common Factor
We found the factors 890,447,886 . The biggest common factor number is the GCF number.
So the greatest common factor 890,447,886 is 1.
Lets's calculate LCM of 156,866,876
| 2 | 156, 866, 876 |
| 2 | 78, 433, 438 |
| 3 | 39, 433, 219 |
| 13, 433, 73 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 13 x 433 x 73 = 4931004
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4931004
Therefore, the GCF of Fractions 890/156,447/866,886/876 is 1/4931004
Least Common Multiple of 156,866,876 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 156,866,876 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(156,866,876) = 2
common factors(in case of two or more numbers have common factors) = 12
GCF(156,866,876) x common factors =2 x 12 = 24
LCM(156,866,876) = ( 156 × 866 × 876 ) / 24
LCM(156,866,876) = 118344096 / 24
LCM(156,866,876) = 4931004
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FAQs on GCF of Fractions of 890/156, 447/866, 886/876
1. What is the HCF of 890,447,886?
The HCF of 890,447,886 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 890/156, 447/866, 886/876?
Answer: GCF of Numerators as per given numbers 890/156, 447/866, 886/876 is
GCF of Numerators i.e. for 890,447,886 is 1
LCM of denominators i.e. for 156,866,876 is 4931004.
Thus, GCF of Fractions is 1/4931004.Finally, GCF of Fractions for 890/156, 447/866, 886/876 is 1/4931004.