GCF of 7821/402, 7377/6662
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7821/402, 7377/6662 i.e 3/1339062 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7821/402, 7377/6662.
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 7821/402,7377/6662?
Given fractions are 7821/402,7377/6662
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 7821/402,7377/6662, numerators are 7821,7377
Denominators are 402,6662
The GCF of 7821,7377 is 3 .
LCM of 402,6662 is 1339062.
The greatest common factor of 7821/402,7377/6662 = [GCF of 7821,7377]/[LCM of 402,6662]= 3/1339062
Therefore, the GCF of 7821/402,7377/6662 is 3/1339062.
To find the highest common factor of 7821,7377, we have to find the factors of both numbers and list the highest common factor.
The factors of 7821 are 1, 3, 9, 11, 33, 79, 99, 237, 711, 869, 2607, 7821
The factors of 7377 are 1, 3, 2459, 7377
The HCF of 7821,7377 is 3.
Lets's calculate GCF of 7821,7377
| 3 | 7821, 7377 |
| 2607, 2459 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7821,7377 By Matching Biggest Common Factor Method
Now, list down the factors of 7821
:1,3,9,11,33,79,99,237,711,869,2607,7821
Now, list down the factors of 7377
:1,3,2459,7377
Greatest Common Factor
We found the factors 7821,7377 . The biggest common factor number is the GCF number.
So the greatest common factor 7821,7377 is 3.
Lets's calculate LCM of 402,6662
| 2 | 402, 6662 |
| 201, 3331 |
∴ So the LCM of the given numbers is 2 x 201 x 3331 = 1339062
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1339062
Therefore, the GCF of Fractions 7821/402,7377/6662 is 3/1339062
Least Common Multiple of 402,6662 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 402,6662 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(402,6662) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(402,6662) x common factors =2 x 1 = 2
LCM(402,6662) = ( 402 × 6662 ) / 2
LCM(402,6662) = 2678124 / 2
LCM(402,6662) = 1339062
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FAQs on GCF of Fractions of 7821/402, 7377/6662
1. What is the HCF of 7821,7377?
The HCF of 7821,7377 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 7821/402, 7377/6662?
Answer: GCF of Numerators as per given numbers 7821/402, 7377/6662 is
GCF of Numerators i.e. for 7821,7377 is 3
LCM of denominators i.e. for 402,6662 is 1339062.
Thus, GCF of Fractions is 3/1339062.Finally, GCF of Fractions for 7821/402, 7377/6662 is 3/1339062.