GCF of 3171/938, 6617/9814
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3171/938, 6617/9814 i.e 1/657538 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3171/938, 6617/9814.
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 3171/938,6617/9814?
Given fractions are 3171/938,6617/9814
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 3171/938,6617/9814, numerators are 3171,6617
Denominators are 938,9814
The GCF of 3171,6617 is 1 .
LCM of 938,9814 is 657538.
The greatest common factor of 3171/938,6617/9814 = [GCF of 3171,6617]/[LCM of 938,9814]= 1/657538
Therefore, the GCF of 3171/938,6617/9814 is 1/657538.
To find the highest common factor of 3171,6617, we have to find the factors of both numbers and list the highest common factor.
The factors of 3171 are 1, 3, 7, 21, 151, 453, 1057, 3171
The factors of 6617 are 1, 13, 509, 6617
The HCF of 3171,6617 is 1.
Lets's calculate GCF of 3171,6617
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3171,6617 By Matching Biggest Common Factor Method
Now, list down the factors of 3171
:1,3,7,21,151,453,1057,3171
Now, list down the factors of 6617
:1,13,509,6617
Greatest Common Factor
We found the factors 3171,6617 . The biggest common factor number is the GCF number.
So the greatest common factor 3171,6617 is 1.
Lets's calculate LCM of 938,9814
| 2 | 938, 9814 |
| 7 | 469, 4907 |
| 67, 701 |
∴ So the LCM of the given numbers is 2 x 7 x 67 x 701 = 657538
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/657538
Therefore, the GCF of Fractions 3171/938,6617/9814 is 1/657538
Least Common Multiple of 938,9814 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 938,9814 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(938,9814) = 14
common factors(in case of two or more numbers have common factors) = 1
GCF(938,9814) x common factors =14 x 1 = 14
LCM(938,9814) = ( 938 × 9814 ) / 14
LCM(938,9814) = 9205532 / 14
LCM(938,9814) = 657538
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FAQs on GCF of Fractions of 3171/938, 6617/9814
1. What is the HCF of 3171,6617?
The HCF of 3171,6617 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 3171/938, 6617/9814?
Answer: GCF of Numerators as per given numbers 3171/938, 6617/9814 is
GCF of Numerators i.e. for 3171,6617 is 1
LCM of denominators i.e. for 938,9814 is 657538.
Thus, GCF of Fractions is 1/657538.Finally, GCF of Fractions for 3171/938, 6617/9814 is 1/657538.