GCF of 811/995, 694/220
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 811/995, 694/220 i.e 1/43780 easily. The following is the detailed procedure to determine the greatest common factor of fractions 811/995, 694/220.
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 811/995,694/220?
Given fractions are 811/995,694/220
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 811/995,694/220, numerators are 811,694
Denominators are 995,220
The GCF of 811,694 is 1 .
LCM of 995,220 is 43780.
The greatest common factor of 811/995,694/220 = [GCF of 811,694]/[LCM of 995,220]= 1/43780
Therefore, the GCF of 811/995,694/220 is 1/43780.
To find the highest common factor of 811,694, we have to find the factors of both numbers and list the highest common factor.
The factors of 811 are 1, 811
The factors of 694 are 1, 2, 347, 694
The HCF of 811,694 is 1.
Lets's calculate GCF of 811,694
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 811,694 By Matching Biggest Common Factor Method
Now, list down the factors of 811
:1,811
Now, list down the factors of 694
:1,2,347,694
Greatest Common Factor
We found the factors 811,694 . The biggest common factor number is the GCF number.
So the greatest common factor 811,694 is 1.
Lets's calculate LCM of 995,220
| 5 | 995, 220 |
| 199, 44 |
∴ So the LCM of the given numbers is 5 x 199 x 44 = 43780
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/43780
Therefore, the GCF of Fractions 811/995,694/220 is 1/43780
Least Common Multiple of 995,220 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 995,220 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(995,220) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(995,220) x common factors =5 x 1 = 5
LCM(995,220) = ( 995 × 220 ) / 5
LCM(995,220) = 218900 / 5
LCM(995,220) = 43780
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FAQs on GCF of Fractions of 811/995, 694/220
1. What is the HCF of 811,694?
The HCF of 811,694 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 811/995, 694/220?
Answer: GCF of Numerators as per given numbers 811/995, 694/220 is
GCF of Numerators i.e. for 811,694 is 1
LCM of denominators i.e. for 995,220 is 43780.
Thus, GCF of Fractions is 1/43780.Finally, GCF of Fractions for 811/995, 694/220 is 1/43780.