GCF of 3390/678, 1100/7210
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3390/678, 1100/7210 i.e 10/2444190 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3390/678, 1100/7210.
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 3390/678,1100/7210?
Given fractions are 3390/678,1100/7210
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 3390/678,1100/7210, numerators are 3390,1100
Denominators are 678,7210
The GCF of 3390,1100 is 10 .
LCM of 678,7210 is 2444190.
The greatest common factor of 3390/678,1100/7210 = [GCF of 3390,1100]/[LCM of 678,7210]= 10/2444190
Therefore, the GCF of 3390/678,1100/7210 is 10/2444190.
To find the highest common factor of 3390,1100, we have to find the factors of both numbers and list the highest common factor.
The factors of 3390 are 1, 2, 3, 5, 6, 10, 15, 30, 113, 226, 339, 565, 678, 1130, 1695, 3390
The factors of 1100 are 1, 2, 4, 5, 10, 11, 20, 22, 25, 44, 50, 55, 100, 110, 220, 275, 550, 1100
The HCF of 3390,1100 is 10.
Lets's calculate GCF of 3390,1100
| 2 | 3390, 1100 |
| 5 | 1695, 550 |
| 339, 110 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 3390,1100 By Matching Biggest Common Factor Method
Now, list down the factors of 3390
:1,2,3,5,6,10,15,30,113,226,339,565,678,1130,1695,3390
Now, list down the factors of 1100
:1,2,4,5,10,11,20,22,25,44,50,55,100,110,220,275,550,1100
Greatest Common Factor
We found the factors 3390,1100 . The biggest common factor number is the GCF number.
So the greatest common factor 3390,1100 is 10.
Lets's calculate LCM of 678,7210
| 2 | 678, 7210 |
| 339, 3605 |
∴ So the LCM of the given numbers is 2 x 339 x 3605 = 2444190
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/2444190
Therefore, the GCF of Fractions 3390/678,1100/7210 is 10/2444190
Least Common Multiple of 678,7210 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 678,7210 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(678,7210) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(678,7210) x common factors =2 x 1 = 2
LCM(678,7210) = ( 678 × 7210 ) / 2
LCM(678,7210) = 4888380 / 2
LCM(678,7210) = 2444190
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3390/678, 1100/7210
1. What is the HCF of 3390,1100?
The HCF of 3390,1100 is 10
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 3390/678, 1100/7210?
Answer: GCF of Numerators as per given numbers 3390/678, 1100/7210 is
GCF of Numerators i.e. for 3390,1100 is 10
LCM of denominators i.e. for 678,7210 is 2444190.
Thus, GCF of Fractions is 10/2444190.Finally, GCF of Fractions for 3390/678, 1100/7210 is 10/2444190.