GCF of 786/206, 3173/996
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 786/206, 3173/996 i.e 1/102588 easily. The following is the detailed procedure to determine the greatest common factor of fractions 786/206, 3173/996.
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 786/206,3173/996?
Given fractions are 786/206,3173/996
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 786/206,3173/996, numerators are 786,3173
Denominators are 206,996
The GCF of 786,3173 is 1 .
LCM of 206,996 is 102588.
The greatest common factor of 786/206,3173/996 = [GCF of 786,3173]/[LCM of 206,996]= 1/102588
Therefore, the GCF of 786/206,3173/996 is 1/102588.
To find the highest common factor of 786,3173, we have to find the factors of both numbers and list the highest common factor.
The factors of 786 are 1, 2, 3, 6, 131, 262, 393, 786
The factors of 3173 are 1, 19, 167, 3173
The HCF of 786,3173 is 1.
Lets's calculate GCF of 786,3173
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 786,3173 By Matching Biggest Common Factor Method
Now, list down the factors of 786
:1,2,3,6,131,262,393,786
Now, list down the factors of 3173
:1,19,167,3173
Greatest Common Factor
We found the factors 786,3173 . The biggest common factor number is the GCF number.
So the greatest common factor 786,3173 is 1.
Lets's calculate LCM of 206,996
| 2 | 206, 996 |
| 103, 498 |
∴ So the LCM of the given numbers is 2 x 103 x 498 = 102588
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/102588
Therefore, the GCF of Fractions 786/206,3173/996 is 1/102588
Least Common Multiple of 206,996 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 206,996 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(206,996) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(206,996) x common factors =2 x 1 = 2
LCM(206,996) = ( 206 × 996 ) / 2
LCM(206,996) = 205176 / 2
LCM(206,996) = 102588
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FAQs on GCF of Fractions of 786/206, 3173/996
1. What is the HCF of 786,3173?
The HCF of 786,3173 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 786/206, 3173/996?
Answer: GCF of Numerators as per given numbers 786/206, 3173/996 is
GCF of Numerators i.e. for 786,3173 is 1
LCM of denominators i.e. for 206,996 is 102588.
Thus, GCF of Fractions is 1/102588.Finally, GCF of Fractions for 786/206, 3173/996 is 1/102588.