Use our free GCF of Fractions Calculator tool to compute the GCF of 166/712, 7635/420 i.e 1/74760 easily. The following is the detailed procedure to determine the greatest common factor of fractions 166/712, 7635/420.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 166/712,7635/420
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 166/712,7635/420, numerators are 166,7635
Denominators are 712,420
The GCF of 166,7635 is 1 .
LCM of 712,420 is 74760.
The greatest common factor of 166/712,7635/420 = [GCF of 166,7635]/[LCM of 712,420]= 1/74760
Therefore, the GCF of 166/712,7635/420 is 1/74760.
To find the highest common factor of 166,7635, we have to find the factors of both numbers and list the highest common factor.
The factors of 166 are 1, 2, 83, 166
The factors of 7635 are 1, 3, 5, 15, 509, 1527, 2545, 7635
The HCF of 166,7635 is 1.
Lets's calculate GCF of 166,7635
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 166
:1,2,83,166
Now, list down the factors of 7635
:1,3,5,15,509,1527,2545,7635
Greatest Common Factor
We found the factors 166,7635 . The biggest common factor number is the GCF number.
So the greatest common factor 166,7635 is 1.
Lets's calculate LCM of 712,420
2 | 712, 420 |
2 | 356, 210 |
178, 105 |
∴ So the LCM of the given numbers is 2 x 2 x 178 x 105 = 74760
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/74760
Therefore, the GCF of Fractions 166/712,7635/420 is 1/74760
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 712,420 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(712,420) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(712,420) x common factors =4 x 1 = 4
LCM(712,420) = ( 712 × 420 ) / 4
LCM(712,420) = 299040 / 4
LCM(712,420) = 74760
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 166,7635?
The HCF of 166,7635 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 166/712, 7635/420?
Answer: GCF of Numerators as per given numbers 166/712, 7635/420 is
GCF of Numerators i.e. for 166,7635 is 1
LCM of denominators i.e. for 712,420 is 74760.
Thus, GCF of Fractions is 1/74760.Finally, GCF of Fractions for 166/712, 7635/420 is 1/74760.