GCF of 6471/176, 3678/139
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6471/176, 3678/139 i.e 3/24464 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6471/176, 3678/139.
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 6471/176,3678/139?
Given fractions are 6471/176,3678/139
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 6471/176,3678/139, numerators are 6471,3678
Denominators are 176,139
The GCF of 6471,3678 is 3 .
LCM of 176,139 is 24464.
The greatest common factor of 6471/176,3678/139 = [GCF of 6471,3678]/[LCM of 176,139]= 3/24464
Therefore, the GCF of 6471/176,3678/139 is 3/24464.
To find the highest common factor of 6471,3678, we have to find the factors of both numbers and list the highest common factor.
The factors of 6471 are 1, 3, 9, 719, 2157, 6471
The factors of 3678 are 1, 2, 3, 6, 613, 1226, 1839, 3678
The HCF of 6471,3678 is 3.
Lets's calculate GCF of 6471,3678
| 3 | 6471, 3678 |
| 2157, 1226 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6471,3678 By Matching Biggest Common Factor Method
Now, list down the factors of 6471
:1,3,9,719,2157,6471
Now, list down the factors of 3678
:1,2,3,6,613,1226,1839,3678
Greatest Common Factor
We found the factors 6471,3678 . The biggest common factor number is the GCF number.
So the greatest common factor 6471,3678 is 3.
Lets's calculate LCM of 176,139
Given numbers has no common factors except 1. So, there LCM is their product i.e 24464
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/24464
Therefore, the GCF of Fractions 6471/176,3678/139 is 3/24464
Least Common Multiple of 176,139 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 176,139 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(176,139) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(176,139) x common factors =1 x 1 = 1
LCM(176,139) = ( 176 × 139 ) / 1
LCM(176,139) = 24464 / 1
LCM(176,139) = 24464
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FAQs on GCF of Fractions of 6471/176, 3678/139
1. What is the HCF of 6471,3678?
The HCF of 6471,3678 is 3
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 6471/176, 3678/139?
Answer: GCF of Numerators as per given numbers 6471/176, 3678/139 is
GCF of Numerators i.e. for 6471,3678 is 3
LCM of denominators i.e. for 176,139 is 24464.
Thus, GCF of Fractions is 3/24464.Finally, GCF of Fractions for 6471/176, 3678/139 is 3/24464.