GCF of 6931/240, 1744/9357
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6931/240, 1744/9357 i.e 1/748560 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6931/240, 1744/9357.
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 6931/240,1744/9357?
Given fractions are 6931/240,1744/9357
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 6931/240,1744/9357, numerators are 6931,1744
Denominators are 240,9357
The GCF of 6931,1744 is 1 .
LCM of 240,9357 is 748560.
The greatest common factor of 6931/240,1744/9357 = [GCF of 6931,1744]/[LCM of 240,9357]= 1/748560
Therefore, the GCF of 6931/240,1744/9357 is 1/748560.
To find the highest common factor of 6931,1744, we have to find the factors of both numbers and list the highest common factor.
The factors of 6931 are 1, 29, 239, 6931
The factors of 1744 are 1, 2, 4, 8, 16, 109, 218, 436, 872, 1744
The HCF of 6931,1744 is 1.
Lets's calculate GCF of 6931,1744
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6931,1744 By Matching Biggest Common Factor Method
Now, list down the factors of 6931
:1,29,239,6931
Now, list down the factors of 1744
:1,2,4,8,16,109,218,436,872,1744
Greatest Common Factor
We found the factors 6931,1744 . The biggest common factor number is the GCF number.
So the greatest common factor 6931,1744 is 1.
Lets's calculate LCM of 240,9357
| 3 | 240, 9357 |
| 80, 3119 |
∴ So the LCM of the given numbers is 3 x 80 x 3119 = 748560
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/748560
Therefore, the GCF of Fractions 6931/240,1744/9357 is 1/748560
Least Common Multiple of 240,9357 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 240,9357 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(240,9357) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(240,9357) x common factors =3 x 1 = 3
LCM(240,9357) = ( 240 × 9357 ) / 3
LCM(240,9357) = 2245680 / 3
LCM(240,9357) = 748560
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FAQs on GCF of Fractions of 6931/240, 1744/9357
1. What is the HCF of 6931,1744?
The HCF of 6931,1744 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 6931/240, 1744/9357?
Answer: GCF of Numerators as per given numbers 6931/240, 1744/9357 is
GCF of Numerators i.e. for 6931,1744 is 1
LCM of denominators i.e. for 240,9357 is 748560.
Thus, GCF of Fractions is 1/748560.Finally, GCF of Fractions for 6931/240, 1744/9357 is 1/748560.