Use our free GCF of Fractions Calculator tool to compute the GCF of 35/495, 232/412, 747/633 i.e 1/43031340 easily. The following is the detailed procedure to determine the greatest common factor of fractions 35/495, 232/412, 747/633.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 35/495,232/412,747/633
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 35/495,232/412,747/633, numerators are 35,232,747
Denominators are 495,412,633
The GCF of 35,232,747 is 1 .
LCM of 495,412,633 is 43031340.
The greatest common factor of 35/495,232/412,747/633 = [GCF of 35,232,747]/[LCM of 495,412,633]= 1/43031340
Therefore, the GCF of 35/495,232/412,747/633 is 1/43031340.
To find the highest common factor of 35,232,747, we have to find the factors of both numbers and list the highest common factor.
The factors of 35 are 1, 5, 7, 35
The factors of 232 are 1, 2, 4, 8, 29, 58, 116, 232
The factors of 747 are 1, 3, 9, 83, 249, 747
The HCF of 35,232,747 is 1.
Lets's calculate GCF of 35,232,747
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 35
:1,5,7,35
Now, list down the factors of 232
:1,2,4,8,29,58,116,232
Now, list down the factors of 747
:1,3,9,83,249,747
Greatest Common Factor
We found the factors 35,232,747 . The biggest common factor number is the GCF number.
So the greatest common factor 35,232,747 is 1.
Lets's calculate LCM of 495,412,633
3 | 495, 412, 633 |
165, 412, 211 |
∴ So the LCM of the given numbers is 3 x 165 x 412 x 211 = 43031340
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/43031340
Therefore, the GCF of Fractions 35/495,232/412,747/633 is 1/43031340
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 495,412,633 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(495,412,633) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(495,412,633) x common factors =1 x 3 = 3
LCM(495,412,633) = ( 495 × 412 × 633 ) / 3
LCM(495,412,633) = 129094020 / 3
LCM(495,412,633) = 43031340
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 35,232,747?
The HCF of 35,232,747 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 35/495, 232/412, 747/633?
Answer: GCF of Numerators as per given numbers 35/495, 232/412, 747/633 is
GCF of Numerators i.e. for 35,232,747 is 1
LCM of denominators i.e. for 495,412,633 is 43031340.
Thus, GCF of Fractions is 1/43031340.Finally, GCF of Fractions for 35/495, 232/412, 747/633 is 1/43031340.