GCF of 591/866, 814/930
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 591/866, 814/930 i.e 1/402690 easily. The following is the detailed procedure to determine the greatest common factor of fractions 591/866, 814/930.
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 591/866,814/930?
Given fractions are 591/866,814/930
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 591/866,814/930, numerators are 591,814
Denominators are 866,930
The GCF of 591,814 is 1 .
LCM of 866,930 is 402690.
The greatest common factor of 591/866,814/930 = [GCF of 591,814]/[LCM of 866,930]= 1/402690
Therefore, the GCF of 591/866,814/930 is 1/402690.
To find the highest common factor of 591,814, we have to find the factors of both numbers and list the highest common factor.
The factors of 591 are 1, 3, 197, 591
The factors of 814 are 1, 2, 11, 22, 37, 74, 407, 814
The HCF of 591,814 is 1.
Lets's calculate GCF of 591,814
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 591,814 By Matching Biggest Common Factor Method
Now, list down the factors of 591
:1,3,197,591
Now, list down the factors of 814
:1,2,11,22,37,74,407,814
Greatest Common Factor
We found the factors 591,814 . The biggest common factor number is the GCF number.
So the greatest common factor 591,814 is 1.
Lets's calculate LCM of 866,930
| 2 | 866, 930 |
| 433, 465 |
∴ So the LCM of the given numbers is 2 x 433 x 465 = 402690
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/402690
Therefore, the GCF of Fractions 591/866,814/930 is 1/402690
Least Common Multiple of 866,930 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 866,930 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(866,930) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(866,930) x common factors =2 x 1 = 2
LCM(866,930) = ( 866 × 930 ) / 2
LCM(866,930) = 805380 / 2
LCM(866,930) = 402690
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FAQs on GCF of Fractions of 591/866, 814/930
1. What is the HCF of 591,814?
The HCF of 591,814 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 591/866, 814/930?
Answer: GCF of Numerators as per given numbers 591/866, 814/930 is
GCF of Numerators i.e. for 591,814 is 1
LCM of denominators i.e. for 866,930 is 402690.
Thus, GCF of Fractions is 1/402690.Finally, GCF of Fractions for 591/866, 814/930 is 1/402690.