GCF of 4652/678, 9210/6651
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4652/678, 9210/6651 i.e 2/1503126 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4652/678, 9210/6651.
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 4652/678,9210/6651?
Given fractions are 4652/678,9210/6651
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 4652/678,9210/6651, numerators are 4652,9210
Denominators are 678,6651
The GCF of 4652,9210 is 2 .
LCM of 678,6651 is 1503126.
The greatest common factor of 4652/678,9210/6651 = [GCF of 4652,9210]/[LCM of 678,6651]= 2/1503126
Therefore, the GCF of 4652/678,9210/6651 is 2/1503126.
To find the highest common factor of 4652,9210, we have to find the factors of both numbers and list the highest common factor.
The factors of 4652 are 1, 2, 4, 1163, 2326, 4652
The factors of 9210 are 1, 2, 3, 5, 6, 10, 15, 30, 307, 614, 921, 1535, 1842, 3070, 4605, 9210
The HCF of 4652,9210 is 2.
Lets's calculate GCF of 4652,9210
| 2 | 4652, 9210 |
| 2326, 4605 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4652,9210 By Matching Biggest Common Factor Method
Now, list down the factors of 4652
:1,2,4,1163,2326,4652
Now, list down the factors of 9210
:1,2,3,5,6,10,15,30,307,614,921,1535,1842,3070,4605,9210
Greatest Common Factor
We found the factors 4652,9210 . The biggest common factor number is the GCF number.
So the greatest common factor 4652,9210 is 2.
Lets's calculate LCM of 678,6651
| 3 | 678, 6651 |
| 226, 2217 |
∴ So the LCM of the given numbers is 3 x 226 x 2217 = 1503126
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1503126
Therefore, the GCF of Fractions 4652/678,9210/6651 is 2/1503126
Least Common Multiple of 678,6651 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 678,6651 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(678,6651) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(678,6651) x common factors =3 x 1 = 3
LCM(678,6651) = ( 678 × 6651 ) / 3
LCM(678,6651) = 4509378 / 3
LCM(678,6651) = 1503126
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4652/678, 9210/6651
1. What is the HCF of 4652,9210?
The HCF of 4652,9210 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 4652/678, 9210/6651?
Answer: GCF of Numerators as per given numbers 4652/678, 9210/6651 is
GCF of Numerators i.e. for 4652,9210 is 2
LCM of denominators i.e. for 678,6651 is 1503126.
Thus, GCF of Fractions is 2/1503126.Finally, GCF of Fractions for 4652/678, 9210/6651 is 2/1503126.