GCF of 6054/850, 1507/373
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6054/850, 1507/373 i.e 1/317050 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6054/850, 1507/373.
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 6054/850,1507/373?
Given fractions are 6054/850,1507/373
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 6054/850,1507/373, numerators are 6054,1507
Denominators are 850,373
The GCF of 6054,1507 is 1 .
LCM of 850,373 is 317050.
The greatest common factor of 6054/850,1507/373 = [GCF of 6054,1507]/[LCM of 850,373]= 1/317050
Therefore, the GCF of 6054/850,1507/373 is 1/317050.
To find the highest common factor of 6054,1507, we have to find the factors of both numbers and list the highest common factor.
The factors of 6054 are 1, 2, 3, 6, 1009, 2018, 3027, 6054
The factors of 1507 are 1, 11, 137, 1507
The HCF of 6054,1507 is 1.
Lets's calculate GCF of 6054,1507
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6054,1507 By Matching Biggest Common Factor Method
Now, list down the factors of 6054
:1,2,3,6,1009,2018,3027,6054
Now, list down the factors of 1507
:1,11,137,1507
Greatest Common Factor
We found the factors 6054,1507 . The biggest common factor number is the GCF number.
So the greatest common factor 6054,1507 is 1.
Lets's calculate LCM of 850,373
Given numbers has no common factors except 1. So, there LCM is their product i.e 317050
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/317050
Therefore, the GCF of Fractions 6054/850,1507/373 is 1/317050
Least Common Multiple of 850,373 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 850,373 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(850,373) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(850,373) x common factors =1 x 1 = 1
LCM(850,373) = ( 850 × 373 ) / 1
LCM(850,373) = 317050 / 1
LCM(850,373) = 317050
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6054/850, 1507/373
1. What is the HCF of 6054,1507?
The HCF of 6054,1507 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 6054/850, 1507/373?
Answer: GCF of Numerators as per given numbers 6054/850, 1507/373 is
GCF of Numerators i.e. for 6054,1507 is 1
LCM of denominators i.e. for 850,373 is 317050.
Thus, GCF of Fractions is 1/317050.Finally, GCF of Fractions for 6054/850, 1507/373 is 1/317050.