GCF of 6027/48, 7461/170
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6027/48, 7461/170 i.e 3/4080 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6027/48, 7461/170.
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 6027/48,7461/170?
Given fractions are 6027/48,7461/170
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 6027/48,7461/170, numerators are 6027,7461
Denominators are 48,170
The GCF of 6027,7461 is 3 .
LCM of 48,170 is 4080.
The greatest common factor of 6027/48,7461/170 = [GCF of 6027,7461]/[LCM of 48,170]= 3/4080
Therefore, the GCF of 6027/48,7461/170 is 3/4080.
To find the highest common factor of 6027,7461, we have to find the factors of both numbers and list the highest common factor.
The factors of 6027 are 1, 3, 7, 21, 41, 49, 123, 147, 287, 861, 2009, 6027
The factors of 7461 are 1, 3, 9, 829, 2487, 7461
The HCF of 6027,7461 is 3.
Lets's calculate GCF of 6027,7461
| 3 | 6027, 7461 |
| 2009, 2487 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6027,7461 By Matching Biggest Common Factor Method
Now, list down the factors of 6027
:1,3,7,21,41,49,123,147,287,861,2009,6027
Now, list down the factors of 7461
:1,3,9,829,2487,7461
Greatest Common Factor
We found the factors 6027,7461 . The biggest common factor number is the GCF number.
So the greatest common factor 6027,7461 is 3.
Lets's calculate LCM of 48,170
| 2 | 48, 170 |
| 24, 85 |
∴ So the LCM of the given numbers is 2 x 24 x 85 = 4080
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/4080
Therefore, the GCF of Fractions 6027/48,7461/170 is 3/4080
Least Common Multiple of 48,170 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 48,170 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(48,170) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(48,170) x common factors =2 x 1 = 2
LCM(48,170) = ( 48 × 170 ) / 2
LCM(48,170) = 8160 / 2
LCM(48,170) = 4080
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6027/48, 7461/170
1. What is the HCF of 6027,7461?
The HCF of 6027,7461 is 3
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 6027/48, 7461/170?
Answer: GCF of Numerators as per given numbers 6027/48, 7461/170 is
GCF of Numerators i.e. for 6027,7461 is 3
LCM of denominators i.e. for 48,170 is 4080.
Thus, GCF of Fractions is 3/4080.Finally, GCF of Fractions for 6027/48, 7461/170 is 3/4080.