GCF of 1594/318, 7167/3876
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1594/318, 7167/3876 i.e 1/205428 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1594/318, 7167/3876.
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 1594/318,7167/3876?
Given fractions are 1594/318,7167/3876
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 1594/318,7167/3876, numerators are 1594,7167
Denominators are 318,3876
The GCF of 1594,7167 is 1 .
LCM of 318,3876 is 205428.
The greatest common factor of 1594/318,7167/3876 = [GCF of 1594,7167]/[LCM of 318,3876]= 1/205428
Therefore, the GCF of 1594/318,7167/3876 is 1/205428.
To find the highest common factor of 1594,7167, we have to find the factors of both numbers and list the highest common factor.
The factors of 1594 are 1, 2, 797, 1594
The factors of 7167 are 1, 3, 2389, 7167
The HCF of 1594,7167 is 1.
Lets's calculate GCF of 1594,7167
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1594,7167 By Matching Biggest Common Factor Method
Now, list down the factors of 1594
:1,2,797,1594
Now, list down the factors of 7167
:1,3,2389,7167
Greatest Common Factor
We found the factors 1594,7167 . The biggest common factor number is the GCF number.
So the greatest common factor 1594,7167 is 1.
Lets's calculate LCM of 318,3876
| 2 | 318, 3876 |
| 3 | 159, 1938 |
| 53, 646 |
∴ So the LCM of the given numbers is 2 x 3 x 53 x 646 = 205428
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/205428
Therefore, the GCF of Fractions 1594/318,7167/3876 is 1/205428
Least Common Multiple of 318,3876 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 318,3876 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(318,3876) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(318,3876) x common factors =6 x 1 = 6
LCM(318,3876) = ( 318 × 3876 ) / 6
LCM(318,3876) = 1232568 / 6
LCM(318,3876) = 205428
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FAQs on GCF of Fractions of 1594/318, 7167/3876
1. What is the HCF of 1594,7167?
The HCF of 1594,7167 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 1594/318, 7167/3876?
Answer: GCF of Numerators as per given numbers 1594/318, 7167/3876 is
GCF of Numerators i.e. for 1594,7167 is 1
LCM of denominators i.e. for 318,3876 is 205428.
Thus, GCF of Fractions is 1/205428.Finally, GCF of Fractions for 1594/318, 7167/3876 is 1/205428.