GCF of 6747/702, 4171/7329
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6747/702, 4171/7329 i.e 1/1714986 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6747/702, 4171/7329.
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 6747/702,4171/7329?
Given fractions are 6747/702,4171/7329
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 6747/702,4171/7329, numerators are 6747,4171
Denominators are 702,7329
The GCF of 6747,4171 is 1 .
LCM of 702,7329 is 1714986.
The greatest common factor of 6747/702,4171/7329 = [GCF of 6747,4171]/[LCM of 702,7329]= 1/1714986
Therefore, the GCF of 6747/702,4171/7329 is 1/1714986.
To find the highest common factor of 6747,4171, we have to find the factors of both numbers and list the highest common factor.
The factors of 6747 are 1, 3, 13, 39, 173, 519, 2249, 6747
The factors of 4171 are 1, 43, 97, 4171
The HCF of 6747,4171 is 1.
Lets's calculate GCF of 6747,4171
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6747,4171 By Matching Biggest Common Factor Method
Now, list down the factors of 6747
:1,3,13,39,173,519,2249,6747
Now, list down the factors of 4171
:1,43,97,4171
Greatest Common Factor
We found the factors 6747,4171 . The biggest common factor number is the GCF number.
So the greatest common factor 6747,4171 is 1.
Lets's calculate LCM of 702,7329
| 3 | 702, 7329 |
| 234, 2443 |
∴ So the LCM of the given numbers is 3 x 234 x 2443 = 1714986
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1714986
Therefore, the GCF of Fractions 6747/702,4171/7329 is 1/1714986
Least Common Multiple of 702,7329 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 702,7329 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(702,7329) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(702,7329) x common factors =3 x 1 = 3
LCM(702,7329) = ( 702 × 7329 ) / 3
LCM(702,7329) = 5144958 / 3
LCM(702,7329) = 1714986
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FAQs on GCF of Fractions of 6747/702, 4171/7329
1. What is the HCF of 6747,4171?
The HCF of 6747,4171 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 6747/702, 4171/7329?
Answer: GCF of Numerators as per given numbers 6747/702, 4171/7329 is
GCF of Numerators i.e. for 6747,4171 is 1
LCM of denominators i.e. for 702,7329 is 1714986.
Thus, GCF of Fractions is 1/1714986.Finally, GCF of Fractions for 6747/702, 4171/7329 is 1/1714986.