GCF of 1572/565, 3746/165
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1572/565, 3746/165 i.e 2/18645 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1572/565, 3746/165.
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 1572/565,3746/165?
Given fractions are 1572/565,3746/165
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 1572/565,3746/165, numerators are 1572,3746
Denominators are 565,165
The GCF of 1572,3746 is 2 .
LCM of 565,165 is 18645.
The greatest common factor of 1572/565,3746/165 = [GCF of 1572,3746]/[LCM of 565,165]= 2/18645
Therefore, the GCF of 1572/565,3746/165 is 2/18645.
To find the highest common factor of 1572,3746, we have to find the factors of both numbers and list the highest common factor.
The factors of 1572 are 1, 2, 3, 4, 6, 12, 131, 262, 393, 524, 786, 1572
The factors of 3746 are 1, 2, 1873, 3746
The HCF of 1572,3746 is 2.
Lets's calculate GCF of 1572,3746
| 2 | 1572, 3746 |
| 786, 1873 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1572,3746 By Matching Biggest Common Factor Method
Now, list down the factors of 1572
:1,2,3,4,6,12,131,262,393,524,786,1572
Now, list down the factors of 3746
:1,2,1873,3746
Greatest Common Factor
We found the factors 1572,3746 . The biggest common factor number is the GCF number.
So the greatest common factor 1572,3746 is 2.
Lets's calculate LCM of 565,165
| 5 | 565, 165 |
| 113, 33 |
∴ So the LCM of the given numbers is 5 x 113 x 33 = 18645
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/18645
Therefore, the GCF of Fractions 1572/565,3746/165 is 2/18645
Least Common Multiple of 565,165 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 565,165 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(565,165) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(565,165) x common factors =5 x 1 = 5
LCM(565,165) = ( 565 × 165 ) / 5
LCM(565,165) = 93225 / 5
LCM(565,165) = 18645
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1572/565, 3746/165
1. What is the HCF of 1572,3746?
The HCF of 1572,3746 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 1572/565, 3746/165?
Answer: GCF of Numerators as per given numbers 1572/565, 3746/165 is
GCF of Numerators i.e. for 1572,3746 is 2
LCM of denominators i.e. for 565,165 is 18645.
Thus, GCF of Fractions is 2/18645.Finally, GCF of Fractions for 1572/565, 3746/165 is 2/18645.