GCF of 7166/707, 4126/3876
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7166/707, 4126/3876 i.e 2/2740332 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7166/707, 4126/3876.
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 7166/707,4126/3876?
Given fractions are 7166/707,4126/3876
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 7166/707,4126/3876, numerators are 7166,4126
Denominators are 707,3876
The GCF of 7166,4126 is 2 .
LCM of 707,3876 is 2740332.
The greatest common factor of 7166/707,4126/3876 = [GCF of 7166,4126]/[LCM of 707,3876]= 2/2740332
Therefore, the GCF of 7166/707,4126/3876 is 2/2740332.
To find the highest common factor of 7166,4126, we have to find the factors of both numbers and list the highest common factor.
The factors of 7166 are 1, 2, 3583, 7166
The factors of 4126 are 1, 2, 2063, 4126
The HCF of 7166,4126 is 2.
Lets's calculate GCF of 7166,4126
| 2 | 7166, 4126 |
| 3583, 2063 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7166,4126 By Matching Biggest Common Factor Method
Now, list down the factors of 7166
:1,2,3583,7166
Now, list down the factors of 4126
:1,2,2063,4126
Greatest Common Factor
We found the factors 7166,4126 . The biggest common factor number is the GCF number.
So the greatest common factor 7166,4126 is 2.
Lets's calculate LCM of 707,3876
Given numbers has no common factors except 1. So, there LCM is their product i.e 2740332
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2740332
Therefore, the GCF of Fractions 7166/707,4126/3876 is 2/2740332
Least Common Multiple of 707,3876 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 707,3876 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(707,3876) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(707,3876) x common factors =1 x 1 = 1
LCM(707,3876) = ( 707 × 3876 ) / 1
LCM(707,3876) = 2740332 / 1
LCM(707,3876) = 2740332
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FAQs on GCF of Fractions of 7166/707, 4126/3876
1. What is the HCF of 7166,4126?
The HCF of 7166,4126 is 2
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 7166/707, 4126/3876?
Answer: GCF of Numerators as per given numbers 7166/707, 4126/3876 is
GCF of Numerators i.e. for 7166,4126 is 2
LCM of denominators i.e. for 707,3876 is 2740332.
Thus, GCF of Fractions is 2/2740332.Finally, GCF of Fractions for 7166/707, 4126/3876 is 2/2740332.