GCF of 6277/119, 6166/1736
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6277/119, 6166/1736 i.e 1/29512 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6277/119, 6166/1736.
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 6277/119,6166/1736?
Given fractions are 6277/119,6166/1736
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 6277/119,6166/1736, numerators are 6277,6166
Denominators are 119,1736
The GCF of 6277,6166 is 1 .
LCM of 119,1736 is 29512.
The greatest common factor of 6277/119,6166/1736 = [GCF of 6277,6166]/[LCM of 119,1736]= 1/29512
Therefore, the GCF of 6277/119,6166/1736 is 1/29512.
To find the highest common factor of 6277,6166, we have to find the factors of both numbers and list the highest common factor.
The factors of 6277 are 1, 6277
The factors of 6166 are 1, 2, 3083, 6166
The HCF of 6277,6166 is 1.
Lets's calculate GCF of 6277,6166
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6277,6166 By Matching Biggest Common Factor Method
Now, list down the factors of 6277
:1,6277
Now, list down the factors of 6166
:1,2,3083,6166
Greatest Common Factor
We found the factors 6277,6166 . The biggest common factor number is the GCF number.
So the greatest common factor 6277,6166 is 1.
Lets's calculate LCM of 119,1736
| 7 | 119, 1736 |
| 17, 248 |
∴ So the LCM of the given numbers is 7 x 17 x 248 = 29512
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29512
Therefore, the GCF of Fractions 6277/119,6166/1736 is 1/29512
Least Common Multiple of 119,1736 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 119,1736 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(119,1736) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(119,1736) x common factors =7 x 1 = 7
LCM(119,1736) = ( 119 × 1736 ) / 7
LCM(119,1736) = 206584 / 7
LCM(119,1736) = 29512
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FAQs on GCF of Fractions of 6277/119, 6166/1736
1. What is the HCF of 6277,6166?
The HCF of 6277,6166 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 6277/119, 6166/1736?
Answer: GCF of Numerators as per given numbers 6277/119, 6166/1736 is
GCF of Numerators i.e. for 6277,6166 is 1
LCM of denominators i.e. for 119,1736 is 29512.
Thus, GCF of Fractions is 1/29512.Finally, GCF of Fractions for 6277/119, 6166/1736 is 1/29512.