GCF of 7251/821, 2664/4141
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7251/821, 2664/4141 i.e 3/3399761 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7251/821, 2664/4141.
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 7251/821,2664/4141?
Given fractions are 7251/821,2664/4141
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 7251/821,2664/4141, numerators are 7251,2664
Denominators are 821,4141
The GCF of 7251,2664 is 3 .
LCM of 821,4141 is 3399761.
The greatest common factor of 7251/821,2664/4141 = [GCF of 7251,2664]/[LCM of 821,4141]= 3/3399761
Therefore, the GCF of 7251/821,2664/4141 is 3/3399761.
To find the highest common factor of 7251,2664, we have to find the factors of both numbers and list the highest common factor.
The factors of 7251 are 1, 3, 2417, 7251
The factors of 2664 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 37, 72, 74, 111, 148, 222, 296, 333, 444, 666, 888, 1332, 2664
The HCF of 7251,2664 is 3.
Lets's calculate GCF of 7251,2664
| 3 | 7251, 2664 |
| 2417, 888 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7251,2664 By Matching Biggest Common Factor Method
Now, list down the factors of 7251
:1,3,2417,7251
Now, list down the factors of 2664
:1,2,3,4,6,8,9,12,18,24,36,37,72,74,111,148,222,296,333,444,666,888,1332,2664
Greatest Common Factor
We found the factors 7251,2664 . The biggest common factor number is the GCF number.
So the greatest common factor 7251,2664 is 3.
Lets's calculate LCM of 821,4141
Given numbers has no common factors except 1. So, there LCM is their product i.e 3399761
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3399761
Therefore, the GCF of Fractions 7251/821,2664/4141 is 3/3399761
Least Common Multiple of 821,4141 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 821,4141 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(821,4141) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(821,4141) x common factors =1 x 1 = 1
LCM(821,4141) = ( 821 × 4141 ) / 1
LCM(821,4141) = 3399761 / 1
LCM(821,4141) = 3399761
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7251/821, 2664/4141
1. What is the HCF of 7251,2664?
The HCF of 7251,2664 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 7251/821, 2664/4141?
Answer: GCF of Numerators as per given numbers 7251/821, 2664/4141 is
GCF of Numerators i.e. for 7251,2664 is 3
LCM of denominators i.e. for 821,4141 is 3399761.
Thus, GCF of Fractions is 3/3399761.Finally, GCF of Fractions for 7251/821, 2664/4141 is 3/3399761.