GCF of 7939/342, 1666/5261
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7939/342, 1666/5261 i.e 17/1799262 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7939/342, 1666/5261.
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 7939/342,1666/5261?
Given fractions are 7939/342,1666/5261
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 7939/342,1666/5261, numerators are 7939,1666
Denominators are 342,5261
The GCF of 7939,1666 is 17 .
LCM of 342,5261 is 1799262.
The greatest common factor of 7939/342,1666/5261 = [GCF of 7939,1666]/[LCM of 342,5261]= 17/1799262
Therefore, the GCF of 7939/342,1666/5261 is 17/1799262.
To find the highest common factor of 7939,1666, we have to find the factors of both numbers and list the highest common factor.
The factors of 7939 are 1, 17, 467, 7939
The factors of 1666 are 1, 2, 7, 14, 17, 34, 49, 98, 119, 238, 833, 1666
The HCF of 7939,1666 is 17.
Lets's calculate GCF of 7939,1666
| 17 | 7939, 1666 |
| 467, 98 |
∴ So the GCF of the given numbers is 17 = 17
Greatest Common Factor of 7939,1666 By Matching Biggest Common Factor Method
Now, list down the factors of 7939
:1,17,467,7939
Now, list down the factors of 1666
:1,2,7,14,17,34,49,98,119,238,833,1666
Greatest Common Factor
We found the factors 7939,1666 . The biggest common factor number is the GCF number.
So the greatest common factor 7939,1666 is 17.
Lets's calculate LCM of 342,5261
Given numbers has no common factors except 1. So, there LCM is their product i.e 1799262
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/1799262
Therefore, the GCF of Fractions 7939/342,1666/5261 is 17/1799262
Least Common Multiple of 342,5261 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 342,5261 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(342,5261) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(342,5261) x common factors =1 x 1 = 1
LCM(342,5261) = ( 342 × 5261 ) / 1
LCM(342,5261) = 1799262 / 1
LCM(342,5261) = 1799262
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FAQs on GCF of Fractions of 7939/342, 1666/5261
1. What is the HCF of 7939,1666?
The HCF of 7939,1666 is 17
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 7939/342, 1666/5261?
Answer: GCF of Numerators as per given numbers 7939/342, 1666/5261 is
GCF of Numerators i.e. for 7939,1666 is 17
LCM of denominators i.e. for 342,5261 is 1799262.
Thus, GCF of Fractions is 17/1799262.Finally, GCF of Fractions for 7939/342, 1666/5261 is 17/1799262.