GCF of 7662/396, 6705/663
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7662/396, 6705/663 i.e 3/87516 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7662/396, 6705/663.
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 7662/396,6705/663?
Given fractions are 7662/396,6705/663
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 7662/396,6705/663, numerators are 7662,6705
Denominators are 396,663
The GCF of 7662,6705 is 3 .
LCM of 396,663 is 87516.
The greatest common factor of 7662/396,6705/663 = [GCF of 7662,6705]/[LCM of 396,663]= 3/87516
Therefore, the GCF of 7662/396,6705/663 is 3/87516.
To find the highest common factor of 7662,6705, we have to find the factors of both numbers and list the highest common factor.
The factors of 7662 are 1, 2, 3, 6, 1277, 2554, 3831, 7662
The factors of 6705 are 1, 3, 5, 9, 15, 45, 149, 447, 745, 1341, 2235, 6705
The HCF of 7662,6705 is 3.
Lets's calculate GCF of 7662,6705
| 3 | 7662, 6705 |
| 2554, 2235 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7662,6705 By Matching Biggest Common Factor Method
Now, list down the factors of 7662
:1,2,3,6,1277,2554,3831,7662
Now, list down the factors of 6705
:1,3,5,9,15,45,149,447,745,1341,2235,6705
Greatest Common Factor
We found the factors 7662,6705 . The biggest common factor number is the GCF number.
So the greatest common factor 7662,6705 is 3.
Lets's calculate LCM of 396,663
| 3 | 396, 663 |
| 132, 221 |
∴ So the LCM of the given numbers is 3 x 132 x 221 = 87516
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/87516
Therefore, the GCF of Fractions 7662/396,6705/663 is 3/87516
Least Common Multiple of 396,663 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 396,663 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(396,663) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(396,663) x common factors =3 x 1 = 3
LCM(396,663) = ( 396 × 663 ) / 3
LCM(396,663) = 262548 / 3
LCM(396,663) = 87516
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7662/396, 6705/663
1. What is the HCF of 7662,6705?
The HCF of 7662,6705 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 7662/396, 6705/663?
Answer: GCF of Numerators as per given numbers 7662/396, 6705/663 is
GCF of Numerators i.e. for 7662,6705 is 3
LCM of denominators i.e. for 396,663 is 87516.
Thus, GCF of Fractions is 3/87516.Finally, GCF of Fractions for 7662/396, 6705/663 is 3/87516.