GCF of 812/99, 2842/928
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 812/99, 2842/928 i.e 406/91872 easily. The following is the detailed procedure to determine the greatest common factor of fractions 812/99, 2842/928.
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 812/99,2842/928?
Given fractions are 812/99,2842/928
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 812/99,2842/928, numerators are 812,2842
Denominators are 99,928
The GCF of 812,2842 is 406 .
LCM of 99,928 is 91872.
The greatest common factor of 812/99,2842/928 = [GCF of 812,2842]/[LCM of 99,928]= 406/91872
Therefore, the GCF of 812/99,2842/928 is 406/91872.
To find the highest common factor of 812,2842, we have to find the factors of both numbers and list the highest common factor.
The factors of 812 are 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
The factors of 2842 are 1, 2, 7, 14, 29, 49, 58, 98, 203, 406, 1421, 2842
The HCF of 812,2842 is 406.
Lets's calculate GCF of 812,2842
| 2 | 812, 2842 |
| 7 | 406, 1421 |
| 29 | 58, 203 |
| 2, 7 |
∴ So the GCF of the given numbers is 2 x 7 x 29 = 406
Greatest Common Factor of 812,2842 By Matching Biggest Common Factor Method
Now, list down the factors of 812
:1,2,4,7,14,28,29,58,116,203,406,812
Now, list down the factors of 2842
:1,2,7,14,29,49,58,98,203,406,1421,2842
Greatest Common Factor
We found the factors 812,2842 . The biggest common factor number is the GCF number.
So the greatest common factor 812,2842 is 406.
Lets's calculate LCM of 99,928
Given numbers has no common factors except 1. So, there LCM is their product i.e 91872
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 406/91872
Therefore, the GCF of Fractions 812/99,2842/928 is 406/91872
Least Common Multiple of 99,928 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 99,928 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(99,928) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(99,928) x common factors =1 x 1 = 1
LCM(99,928) = ( 99 × 928 ) / 1
LCM(99,928) = 91872 / 1
LCM(99,928) = 91872
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FAQs on GCF of Fractions of 812/99, 2842/928
1. What is the HCF of 812,2842?
The HCF of 812,2842 is 406
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 812/99, 2842/928?
Answer: GCF of Numerators as per given numbers 812/99, 2842/928 is
GCF of Numerators i.e. for 812,2842 is 406
LCM of denominators i.e. for 99,928 is 91872.
Thus, GCF of Fractions is 406/91872.Finally, GCF of Fractions for 812/99, 2842/928 is 406/91872.