GCF of 9562/648, 3658/6802
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9562/648, 3658/6802 i.e 2/2203848 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9562/648, 3658/6802.
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 9562/648,3658/6802?
Given fractions are 9562/648,3658/6802
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 9562/648,3658/6802, numerators are 9562,3658
Denominators are 648,6802
The GCF of 9562,3658 is 2 .
LCM of 648,6802 is 2203848.
The greatest common factor of 9562/648,3658/6802 = [GCF of 9562,3658]/[LCM of 648,6802]= 2/2203848
Therefore, the GCF of 9562/648,3658/6802 is 2/2203848.
To find the highest common factor of 9562,3658, we have to find the factors of both numbers and list the highest common factor.
The factors of 9562 are 1, 2, 7, 14, 683, 1366, 4781, 9562
The factors of 3658 are 1, 2, 31, 59, 62, 118, 1829, 3658
The HCF of 9562,3658 is 2.
Lets's calculate GCF of 9562,3658
| 2 | 9562, 3658 |
| 4781, 1829 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9562,3658 By Matching Biggest Common Factor Method
Now, list down the factors of 9562
:1,2,7,14,683,1366,4781,9562
Now, list down the factors of 3658
:1,2,31,59,62,118,1829,3658
Greatest Common Factor
We found the factors 9562,3658 . The biggest common factor number is the GCF number.
So the greatest common factor 9562,3658 is 2.
Lets's calculate LCM of 648,6802
| 2 | 648, 6802 |
| 324, 3401 |
∴ So the LCM of the given numbers is 2 x 324 x 3401 = 2203848
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2203848
Therefore, the GCF of Fractions 9562/648,3658/6802 is 2/2203848
Least Common Multiple of 648,6802 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 648,6802 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(648,6802) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(648,6802) x common factors =2 x 1 = 2
LCM(648,6802) = ( 648 × 6802 ) / 2
LCM(648,6802) = 4407696 / 2
LCM(648,6802) = 2203848
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9562/648, 3658/6802
1. What is the HCF of 9562,3658?
The HCF of 9562,3658 is 2
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 9562/648, 3658/6802?
Answer: GCF of Numerators as per given numbers 9562/648, 3658/6802 is
GCF of Numerators i.e. for 9562,3658 is 2
LCM of denominators i.e. for 648,6802 is 2203848.
Thus, GCF of Fractions is 2/2203848.Finally, GCF of Fractions for 9562/648, 3658/6802 is 2/2203848.