GCF of 796/311, 102/204
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 796/311, 102/204 i.e 2/63444 easily. The following is the detailed procedure to determine the greatest common factor of fractions 796/311, 102/204.
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 796/311,102/204?
Given fractions are 796/311,102/204
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 796/311,102/204, numerators are 796,102
Denominators are 311,204
The GCF of 796,102 is 2 .
LCM of 311,204 is 63444.
The greatest common factor of 796/311,102/204 = [GCF of 796,102]/[LCM of 311,204]= 2/63444
Therefore, the GCF of 796/311,102/204 is 2/63444.
To find the highest common factor of 796,102, we have to find the factors of both numbers and list the highest common factor.
The factors of 796 are 1, 2, 4, 199, 398, 796
The factors of 102 are 1, 2, 3, 6, 17, 34, 51, 102
The HCF of 796,102 is 2.
Lets's calculate GCF of 796,102
| 2 | 796, 102 |
| 398, 51 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 796,102 By Matching Biggest Common Factor Method
Now, list down the factors of 796
:1,2,4,199,398,796
Now, list down the factors of 102
:1,2,3,6,17,34,51,102
Greatest Common Factor
We found the factors 796,102 . The biggest common factor number is the GCF number.
So the greatest common factor 796,102 is 2.
Lets's calculate LCM of 311,204
Given numbers has no common factors except 1. So, there LCM is their product i.e 63444
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/63444
Therefore, the GCF of Fractions 796/311,102/204 is 2/63444
Least Common Multiple of 311,204 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 311,204 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(311,204) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(311,204) x common factors =1 x 1 = 1
LCM(311,204) = ( 311 × 204 ) / 1
LCM(311,204) = 63444 / 1
LCM(311,204) = 63444
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FAQs on GCF of Fractions of 796/311, 102/204
1. What is the HCF of 796,102?
The HCF of 796,102 is 2
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 796/311, 102/204?
Answer: GCF of Numerators as per given numbers 796/311, 102/204 is
GCF of Numerators i.e. for 796,102 is 2
LCM of denominators i.e. for 311,204 is 63444.
Thus, GCF of Fractions is 2/63444.Finally, GCF of Fractions for 796/311, 102/204 is 2/63444.