GCF of 30/477, 32/852, 852/165
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 30/477, 32/852, 852/165 i.e 2/7450740 easily. The following is the detailed procedure to determine the greatest common factor of fractions 30/477, 32/852, 852/165.
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 30/477,32/852,852/165?
Given fractions are 30/477,32/852,852/165
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 30/477,32/852,852/165, numerators are 30,32,852
Denominators are 477,852,165
The GCF of 30,32,852 is 2 .
LCM of 477,852,165 is 7450740.
The greatest common factor of 30/477,32/852,852/165 = [GCF of 30,32,852]/[LCM of 477,852,165]= 2/7450740
Therefore, the GCF of 30/477,32/852,852/165 is 2/7450740.
To find the highest common factor of 30,32,852, we have to find the factors of both numbers and list the highest common factor.
The factors of 30 are 1, 2, 3, 5, 6, 10, 15, 30
The factors of 32 are 1, 2, 4, 8, 16, 32
The factors of 852 are 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
The HCF of 30,32,852 is 2.
Lets's calculate GCF of 30,32,852
| 2 | 30, 32, 852 |
| 15, 16, 426 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 30,32,852 By Matching Biggest Common Factor Method
Now, list down the factors of 30
:1,2,3,5,6,10,15,30
Now, list down the factors of 32
:1,2,4,8,16,32
Now, list down the factors of 852
:1,2,3,4,6,12,71,142,213,284,426,852
Greatest Common Factor
We found the factors 30,32,852 . The biggest common factor number is the GCF number.
So the greatest common factor 30,32,852 is 2.
Lets's calculate LCM of 477,852,165
| 3 | 477, 852, 165 |
| 159, 284, 55 |
∴ So the LCM of the given numbers is 3 x 159 x 284 x 55 = 7450740
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/7450740
Therefore, the GCF of Fractions 30/477,32/852,852/165 is 2/7450740
Least Common Multiple of 477,852,165 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 477,852,165 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(477,852,165) = 3
common factors(in case of two or more numbers have common factors) = 3
GCF(477,852,165) x common factors =3 x 3 = 9
LCM(477,852,165) = ( 477 × 852 × 165 ) / 9
LCM(477,852,165) = 67056660 / 9
LCM(477,852,165) = 7450740
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 30/477, 32/852, 852/165
1. What is the HCF of 30,32,852?
The HCF of 30,32,852 is 2
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 30/477, 32/852, 852/165?
Answer: GCF of Numerators as per given numbers 30/477, 32/852, 852/165 is
GCF of Numerators i.e. for 30,32,852 is 2
LCM of denominators i.e. for 477,852,165 is 7450740.
Thus, GCF of Fractions is 2/7450740.Finally, GCF of Fractions for 30/477, 32/852, 852/165 is 2/7450740.