GCF of 811/828, 116/762
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 811/828, 116/762 i.e 1/105156 easily. The following is the detailed procedure to determine the greatest common factor of fractions 811/828, 116/762.
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 811/828,116/762?
Given fractions are 811/828,116/762
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 811/828,116/762, numerators are 811,116
Denominators are 828,762
The GCF of 811,116 is 1 .
LCM of 828,762 is 105156.
The greatest common factor of 811/828,116/762 = [GCF of 811,116]/[LCM of 828,762]= 1/105156
Therefore, the GCF of 811/828,116/762 is 1/105156.
To find the highest common factor of 811,116, 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 116 are 1, 2, 4, 29, 58, 116
The HCF of 811,116 is 1.
Lets's calculate GCF of 811,116
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 811,116 By Matching Biggest Common Factor Method
Now, list down the factors of 811
:1,811
Now, list down the factors of 116
:1,2,4,29,58,116
Greatest Common Factor
We found the factors 811,116 . The biggest common factor number is the GCF number.
So the greatest common factor 811,116 is 1.
Lets's calculate LCM of 828,762
| 2 | 828, 762 |
| 3 | 414, 381 |
| 138, 127 |
∴ So the LCM of the given numbers is 2 x 3 x 138 x 127 = 105156
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/105156
Therefore, the GCF of Fractions 811/828,116/762 is 1/105156
Least Common Multiple of 828,762 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 828,762 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(828,762) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(828,762) x common factors =6 x 1 = 6
LCM(828,762) = ( 828 × 762 ) / 6
LCM(828,762) = 630936 / 6
LCM(828,762) = 105156
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FAQs on GCF of Fractions of 811/828, 116/762
1. What is the HCF of 811,116?
The HCF of 811,116 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 811/828, 116/762?
Answer: GCF of Numerators as per given numbers 811/828, 116/762 is
GCF of Numerators i.e. for 811,116 is 1
LCM of denominators i.e. for 828,762 is 105156.
Thus, GCF of Fractions is 1/105156.Finally, GCF of Fractions for 811/828, 116/762 is 1/105156.