GCF of 5135/432, 3762/5035
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5135/432, 3762/5035 i.e 1/2175120 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5135/432, 3762/5035.
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 5135/432,3762/5035?
Given fractions are 5135/432,3762/5035
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 5135/432,3762/5035, numerators are 5135,3762
Denominators are 432,5035
The GCF of 5135,3762 is 1 .
LCM of 432,5035 is 2175120.
The greatest common factor of 5135/432,3762/5035 = [GCF of 5135,3762]/[LCM of 432,5035]= 1/2175120
Therefore, the GCF of 5135/432,3762/5035 is 1/2175120.
To find the highest common factor of 5135,3762, we have to find the factors of both numbers and list the highest common factor.
The factors of 5135 are 1, 5, 13, 65, 79, 395, 1027, 5135
The factors of 3762 are 1, 2, 3, 6, 9, 11, 18, 19, 22, 33, 38, 57, 66, 99, 114, 171, 198, 209, 342, 418, 627, 1254, 1881, 3762
The HCF of 5135,3762 is 1.
Lets's calculate GCF of 5135,3762
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5135,3762 By Matching Biggest Common Factor Method
Now, list down the factors of 5135
:1,5,13,65,79,395,1027,5135
Now, list down the factors of 3762
:1,2,3,6,9,11,18,19,22,33,38,57,66,99,114,171,198,209,342,418,627,1254,1881,3762
Greatest Common Factor
We found the factors 5135,3762 . The biggest common factor number is the GCF number.
So the greatest common factor 5135,3762 is 1.
Lets's calculate LCM of 432,5035
Given numbers has no common factors except 1. So, there LCM is their product i.e 2175120
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2175120
Therefore, the GCF of Fractions 5135/432,3762/5035 is 1/2175120
Least Common Multiple of 432,5035 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 432,5035 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(432,5035) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(432,5035) x common factors =1 x 1 = 1
LCM(432,5035) = ( 432 × 5035 ) / 1
LCM(432,5035) = 2175120 / 1
LCM(432,5035) = 2175120
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5135/432, 3762/5035
1. What is the HCF of 5135,3762?
The HCF of 5135,3762 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 5135/432, 3762/5035?
Answer: GCF of Numerators as per given numbers 5135/432, 3762/5035 is
GCF of Numerators i.e. for 5135,3762 is 1
LCM of denominators i.e. for 432,5035 is 2175120.
Thus, GCF of Fractions is 1/2175120.Finally, GCF of Fractions for 5135/432, 3762/5035 is 1/2175120.