Use our free GCF of Fractions Calculator tool to compute the GCF of 3285/710, 2190/6846 i.e 1095/2430330 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3285/710, 2190/6846.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3285/710,2190/6846
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 3285/710,2190/6846, numerators are 3285,2190
Denominators are 710,6846
The GCF of 3285,2190 is 1095 .
LCM of 710,6846 is 2430330.
The greatest common factor of 3285/710,2190/6846 = [GCF of 3285,2190]/[LCM of 710,6846]= 1095/2430330
Therefore, the GCF of 3285/710,2190/6846 is 1095/2430330.
To find the highest common factor of 3285,2190, we have to find the factors of both numbers and list the highest common factor.
The factors of 3285 are 1, 3, 5, 9, 15, 45, 73, 219, 365, 657, 1095, 3285
The factors of 2190 are 1, 2, 3, 5, 6, 10, 15, 30, 73, 146, 219, 365, 438, 730, 1095, 2190
The HCF of 3285,2190 is 1095.
Lets's calculate GCF of 3285,2190
3 | 3285, 2190 |
5 | 1095, 730 |
73 | 219, 146 |
3, 2 |
∴ So the GCF of the given numbers is 3 x 5 x 73 = 1095
Now, list down the factors of 3285
:1,3,5,9,15,45,73,219,365,657,1095,3285
Now, list down the factors of 2190
:1,2,3,5,6,10,15,30,73,146,219,365,438,730,1095,2190
Greatest Common Factor
We found the factors 3285,2190 . The biggest common factor number is the GCF number.
So the greatest common factor 3285,2190 is 1095.
Lets's calculate LCM of 710,6846
2 | 710, 6846 |
355, 3423 |
∴ So the LCM of the given numbers is 2 x 355 x 3423 = 2430330
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1095/2430330
Therefore, the GCF of Fractions 3285/710,2190/6846 is 1095/2430330
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 710,6846 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(710,6846) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(710,6846) x common factors =2 x 1 = 2
LCM(710,6846) = ( 710 × 6846 ) / 2
LCM(710,6846) = 4860660 / 2
LCM(710,6846) = 2430330
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 3285,2190?
The HCF of 3285,2190 is 1095
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 3285/710, 2190/6846?
Answer: GCF of Numerators as per given numbers 3285/710, 2190/6846 is
GCF of Numerators i.e. for 3285,2190 is 1095
LCM of denominators i.e. for 710,6846 is 2430330.
Thus, GCF of Fractions is 1095/2430330.Finally, GCF of Fractions for 3285/710, 2190/6846 is 1095/2430330.