GCF of 811/60, 880/8304
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 811/60, 880/8304 i.e 1/41520 easily. The following is the detailed procedure to determine the greatest common factor of fractions 811/60, 880/8304.
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 811/60,880/8304?
Given fractions are 811/60,880/8304
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 811/60,880/8304, numerators are 811,880
Denominators are 60,8304
The GCF of 811,880 is 1 .
LCM of 60,8304 is 41520.
The greatest common factor of 811/60,880/8304 = [GCF of 811,880]/[LCM of 60,8304]= 1/41520
Therefore, the GCF of 811/60,880/8304 is 1/41520.
To find the highest common factor of 811,880, 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 880 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
The HCF of 811,880 is 1.
Lets's calculate GCF of 811,880
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 811,880 By Matching Biggest Common Factor Method
Now, list down the factors of 811
:1,811
Now, list down the factors of 880
:1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,176,220,440,880
Greatest Common Factor
We found the factors 811,880 . The biggest common factor number is the GCF number.
So the greatest common factor 811,880 is 1.
Lets's calculate LCM of 60,8304
| 2 | 60, 8304 |
| 2 | 30, 4152 |
| 3 | 15, 2076 |
| 5, 692 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 692 = 41520
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/41520
Therefore, the GCF of Fractions 811/60,880/8304 is 1/41520
Least Common Multiple of 60,8304 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 60,8304 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(60,8304) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(60,8304) x common factors =12 x 1 = 12
LCM(60,8304) = ( 60 × 8304 ) / 12
LCM(60,8304) = 498240 / 12
LCM(60,8304) = 41520
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FAQs on GCF of Fractions of 811/60, 880/8304
1. What is the HCF of 811,880?
The HCF of 811,880 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 811/60, 880/8304?
Answer: GCF of Numerators as per given numbers 811/60, 880/8304 is
GCF of Numerators i.e. for 811,880 is 1
LCM of denominators i.e. for 60,8304 is 41520.
Thus, GCF of Fractions is 1/41520.Finally, GCF of Fractions for 811/60, 880/8304 is 1/41520.