GCF of 5035/139, 6349/1340
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5035/139, 6349/1340 i.e 1/186260 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5035/139, 6349/1340.
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 5035/139,6349/1340?
Given fractions are 5035/139,6349/1340
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 5035/139,6349/1340, numerators are 5035,6349
Denominators are 139,1340
The GCF of 5035,6349 is 1 .
LCM of 139,1340 is 186260.
The greatest common factor of 5035/139,6349/1340 = [GCF of 5035,6349]/[LCM of 139,1340]= 1/186260
Therefore, the GCF of 5035/139,6349/1340 is 1/186260.
To find the highest common factor of 5035,6349, we have to find the factors of both numbers and list the highest common factor.
The factors of 5035 are 1, 5, 19, 53, 95, 265, 1007, 5035
The factors of 6349 are 1, 7, 907, 6349
The HCF of 5035,6349 is 1.
Lets's calculate GCF of 5035,6349
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5035,6349 By Matching Biggest Common Factor Method
Now, list down the factors of 5035
:1,5,19,53,95,265,1007,5035
Now, list down the factors of 6349
:1,7,907,6349
Greatest Common Factor
We found the factors 5035,6349 . The biggest common factor number is the GCF number.
So the greatest common factor 5035,6349 is 1.
Lets's calculate LCM of 139,1340
Given numbers has no common factors except 1. So, there LCM is their product i.e 186260
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/186260
Therefore, the GCF of Fractions 5035/139,6349/1340 is 1/186260
Least Common Multiple of 139,1340 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 139,1340 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(139,1340) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(139,1340) x common factors =1 x 1 = 1
LCM(139,1340) = ( 139 × 1340 ) / 1
LCM(139,1340) = 186260 / 1
LCM(139,1340) = 186260
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5035/139, 6349/1340
1. What is the HCF of 5035,6349?
The HCF of 5035,6349 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 5035/139, 6349/1340?
Answer: GCF of Numerators as per given numbers 5035/139, 6349/1340 is
GCF of Numerators i.e. for 5035,6349 is 1
LCM of denominators i.e. for 139,1340 is 186260.
Thus, GCF of Fractions is 1/186260.Finally, GCF of Fractions for 5035/139, 6349/1340 is 1/186260.