Use our free GCF of Fractions Calculator tool to compute the GCF of 246/64, 807/42, 637/35 i.e 1/6720 easily. The following is the detailed procedure to determine the greatest common factor of fractions 246/64, 807/42, 637/35.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 246/64,807/42,637/35
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 246/64,807/42,637/35, numerators are 246,807,637
Denominators are 64,42,35
The GCF of 246,807,637 is 1 .
LCM of 64,42,35 is 6720.
The greatest common factor of 246/64,807/42,637/35 = [GCF of 246,807,637]/[LCM of 64,42,35]= 1/6720
Therefore, the GCF of 246/64,807/42,637/35 is 1/6720.
To find the highest common factor of 246,807,637, we have to find the factors of both numbers and list the highest common factor.
The factors of 246 are 1, 2, 3, 6, 41, 82, 123, 246
The factors of 807 are 1, 3, 269, 807
The factors of 637 are 1, 7, 13, 49, 91, 637
The HCF of 246,807,637 is 1.
Lets's calculate GCF of 246,807,637
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 246
:1,2,3,6,41,82,123,246
Now, list down the factors of 807
:1,3,269,807
Now, list down the factors of 637
:1,7,13,49,91,637
Greatest Common Factor
We found the factors 246,807,637 . The biggest common factor number is the GCF number.
So the greatest common factor 246,807,637 is 1.
Lets's calculate LCM of 64,42,35
2 | 64, 42, 35 |
7 | 32, 21, 35 |
32, 3, 5 |
∴ So the LCM of the given numbers is 2 x 7 x 32 x 3 x 5 = 6720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6720
Therefore, the GCF of Fractions 246/64,807/42,637/35 is 1/6720
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 64,42,35 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,42,35) = 1
common factors(in case of two or more numbers have common factors) = 14
GCF(64,42,35) x common factors =1 x 14 = 14
LCM(64,42,35) = ( 64 × 42 × 35 ) / 14
LCM(64,42,35) = 94080 / 14
LCM(64,42,35) = 6720
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 246,807,637?
The HCF of 246,807,637 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 246/64, 807/42, 637/35?
Answer: GCF of Numerators as per given numbers 246/64, 807/42, 637/35 is
GCF of Numerators i.e. for 246,807,637 is 1
LCM of denominators i.e. for 64,42,35 is 6720.
Thus, GCF of Fractions is 1/6720.Finally, GCF of Fractions for 246/64, 807/42, 637/35 is 1/6720.