GCF of 6349/942, 3098/507
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6349/942, 3098/507 i.e 1/159198 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6349/942, 3098/507.
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 6349/942,3098/507?
Given fractions are 6349/942,3098/507
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 6349/942,3098/507, numerators are 6349,3098
Denominators are 942,507
The GCF of 6349,3098 is 1 .
LCM of 942,507 is 159198.
The greatest common factor of 6349/942,3098/507 = [GCF of 6349,3098]/[LCM of 942,507]= 1/159198
Therefore, the GCF of 6349/942,3098/507 is 1/159198.
To find the highest common factor of 6349,3098, we have to find the factors of both numbers and list the highest common factor.
The factors of 6349 are 1, 7, 907, 6349
The factors of 3098 are 1, 2, 1549, 3098
The HCF of 6349,3098 is 1.
Lets's calculate GCF of 6349,3098
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6349,3098 By Matching Biggest Common Factor Method
Now, list down the factors of 6349
:1,7,907,6349
Now, list down the factors of 3098
:1,2,1549,3098
Greatest Common Factor
We found the factors 6349,3098 . The biggest common factor number is the GCF number.
So the greatest common factor 6349,3098 is 1.
Lets's calculate LCM of 942,507
| 3 | 942, 507 |
| 314, 169 |
∴ So the LCM of the given numbers is 3 x 314 x 169 = 159198
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/159198
Therefore, the GCF of Fractions 6349/942,3098/507 is 1/159198
Least Common Multiple of 942,507 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 942,507 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(942,507) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(942,507) x common factors =3 x 1 = 3
LCM(942,507) = ( 942 × 507 ) / 3
LCM(942,507) = 477594 / 3
LCM(942,507) = 159198
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6349/942, 3098/507
1. What is the HCF of 6349,3098?
The HCF of 6349,3098 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 6349/942, 3098/507?
Answer: GCF of Numerators as per given numbers 6349/942, 3098/507 is
GCF of Numerators i.e. for 6349,3098 is 1
LCM of denominators i.e. for 942,507 is 159198.
Thus, GCF of Fractions is 1/159198.Finally, GCF of Fractions for 6349/942, 3098/507 is 1/159198.