GCF of 423/165, 3512/1094
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 423/165, 3512/1094 i.e 1/180510 easily. The following is the detailed procedure to determine the greatest common factor of fractions 423/165, 3512/1094.
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 423/165,3512/1094?
Given fractions are 423/165,3512/1094
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 423/165,3512/1094, numerators are 423,3512
Denominators are 165,1094
The GCF of 423,3512 is 1 .
LCM of 165,1094 is 180510.
The greatest common factor of 423/165,3512/1094 = [GCF of 423,3512]/[LCM of 165,1094]= 1/180510
Therefore, the GCF of 423/165,3512/1094 is 1/180510.
To find the highest common factor of 423,3512, we have to find the factors of both numbers and list the highest common factor.
The factors of 423 are 1, 3, 9, 47, 141, 423
The factors of 3512 are 1, 2, 4, 8, 439, 878, 1756, 3512
The HCF of 423,3512 is 1.
Lets's calculate GCF of 423,3512
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 423,3512 By Matching Biggest Common Factor Method
Now, list down the factors of 423
:1,3,9,47,141,423
Now, list down the factors of 3512
:1,2,4,8,439,878,1756,3512
Greatest Common Factor
We found the factors 423,3512 . The biggest common factor number is the GCF number.
So the greatest common factor 423,3512 is 1.
Lets's calculate LCM of 165,1094
Given numbers has no common factors except 1. So, there LCM is their product i.e 180510
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/180510
Therefore, the GCF of Fractions 423/165,3512/1094 is 1/180510
Least Common Multiple of 165,1094 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 165,1094 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(165,1094) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(165,1094) x common factors =1 x 1 = 1
LCM(165,1094) = ( 165 × 1094 ) / 1
LCM(165,1094) = 180510 / 1
LCM(165,1094) = 180510
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FAQs on GCF of Fractions of 423/165, 3512/1094
1. What is the HCF of 423,3512?
The HCF of 423,3512 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 423/165, 3512/1094?
Answer: GCF of Numerators as per given numbers 423/165, 3512/1094 is
GCF of Numerators i.e. for 423,3512 is 1
LCM of denominators i.e. for 165,1094 is 180510.
Thus, GCF of Fractions is 1/180510.Finally, GCF of Fractions for 423/165, 3512/1094 is 1/180510.