Use our free GCF of Fractions Calculator tool to compute the GCF of 385/343, 764/840 i.e 1/41160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 385/343, 764/840.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 385/343,764/840
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 385/343,764/840, numerators are 385,764
Denominators are 343,840
The GCF of 385,764 is 1 .
LCM of 343,840 is 41160.
The greatest common factor of 385/343,764/840 = [GCF of 385,764]/[LCM of 343,840]= 1/41160
Therefore, the GCF of 385/343,764/840 is 1/41160.
To find the highest common factor of 385,764, we have to find the factors of both numbers and list the highest common factor.
The factors of 385 are 1, 5, 7, 11, 35, 55, 77, 385
The factors of 764 are 1, 2, 4, 191, 382, 764
The HCF of 385,764 is 1.
Lets's calculate GCF of 385,764
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 385
:1,5,7,11,35,55,77,385
Now, list down the factors of 764
:1,2,4,191,382,764
Greatest Common Factor
We found the factors 385,764 . The biggest common factor number is the GCF number.
So the greatest common factor 385,764 is 1.
Lets's calculate LCM of 343,840
7 | 343, 840 |
49, 120 |
∴ So the LCM of the given numbers is 7 x 49 x 120 = 41160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/41160
Therefore, the GCF of Fractions 385/343,764/840 is 1/41160
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 343,840 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(343,840) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(343,840) x common factors =7 x 1 = 7
LCM(343,840) = ( 343 × 840 ) / 7
LCM(343,840) = 288120 / 7
LCM(343,840) = 41160
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 385,764?
The HCF of 385,764 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 385/343, 764/840?
Answer: GCF of Numerators as per given numbers 385/343, 764/840 is
GCF of Numerators i.e. for 385,764 is 1
LCM of denominators i.e. for 343,840 is 41160.
Thus, GCF of Fractions is 1/41160.Finally, GCF of Fractions for 385/343, 764/840 is 1/41160.