GCF of 7953/366, 6644/2620
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7953/366, 6644/2620 i.e 11/479460 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7953/366, 6644/2620.
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 7953/366,6644/2620?
Given fractions are 7953/366,6644/2620
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 7953/366,6644/2620, numerators are 7953,6644
Denominators are 366,2620
The GCF of 7953,6644 is 11 .
LCM of 366,2620 is 479460.
The greatest common factor of 7953/366,6644/2620 = [GCF of 7953,6644]/[LCM of 366,2620]= 11/479460
Therefore, the GCF of 7953/366,6644/2620 is 11/479460.
To find the highest common factor of 7953,6644, we have to find the factors of both numbers and list the highest common factor.
The factors of 7953 are 1, 3, 11, 33, 241, 723, 2651, 7953
The factors of 6644 are 1, 2, 4, 11, 22, 44, 151, 302, 604, 1661, 3322, 6644
The HCF of 7953,6644 is 11.
Lets's calculate GCF of 7953,6644
| 11 | 7953, 6644 |
| 723, 604 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 7953,6644 By Matching Biggest Common Factor Method
Now, list down the factors of 7953
:1,3,11,33,241,723,2651,7953
Now, list down the factors of 6644
:1,2,4,11,22,44,151,302,604,1661,3322,6644
Greatest Common Factor
We found the factors 7953,6644 . The biggest common factor number is the GCF number.
So the greatest common factor 7953,6644 is 11.
Lets's calculate LCM of 366,2620
| 2 | 366, 2620 |
| 183, 1310 |
∴ So the LCM of the given numbers is 2 x 183 x 1310 = 479460
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/479460
Therefore, the GCF of Fractions 7953/366,6644/2620 is 11/479460
Least Common Multiple of 366,2620 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 366,2620 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(366,2620) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(366,2620) x common factors =2 x 1 = 2
LCM(366,2620) = ( 366 × 2620 ) / 2
LCM(366,2620) = 958920 / 2
LCM(366,2620) = 479460
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FAQs on GCF of Fractions of 7953/366, 6644/2620
1. What is the HCF of 7953,6644?
The HCF of 7953,6644 is 11
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 7953/366, 6644/2620?
Answer: GCF of Numerators as per given numbers 7953/366, 6644/2620 is
GCF of Numerators i.e. for 7953,6644 is 11
LCM of denominators i.e. for 366,2620 is 479460.
Thus, GCF of Fractions is 11/479460.Finally, GCF of Fractions for 7953/366, 6644/2620 is 11/479460.