GCF of 1170/556, 3204/6209
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1170/556, 3204/6209 i.e 18/3452204 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1170/556, 3204/6209.
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 1170/556,3204/6209?
Given fractions are 1170/556,3204/6209
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 1170/556,3204/6209, numerators are 1170,3204
Denominators are 556,6209
The GCF of 1170,3204 is 18 .
LCM of 556,6209 is 3452204.
The greatest common factor of 1170/556,3204/6209 = [GCF of 1170,3204]/[LCM of 556,6209]= 18/3452204
Therefore, the GCF of 1170/556,3204/6209 is 18/3452204.
To find the highest common factor of 1170,3204, we have to find the factors of both numbers and list the highest common factor.
The factors of 1170 are 1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 26, 30, 39, 45, 65, 78, 90, 117, 130, 195, 234, 390, 585, 1170
The factors of 3204 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 89, 178, 267, 356, 534, 801, 1068, 1602, 3204
The HCF of 1170,3204 is 18.
Lets's calculate GCF of 1170,3204
| 2 | 1170, 3204 |
| 3 | 585, 1602 |
| 3 | 195, 534 |
| 65, 178 |
∴ So the GCF of the given numbers is 2 x 3 x 3 = 18
Greatest Common Factor of 1170,3204 By Matching Biggest Common Factor Method
Now, list down the factors of 1170
:1,2,3,5,6,9,10,13,15,18,26,30,39,45,65,78,90,117,130,195,234,390,585,1170
Now, list down the factors of 3204
:1,2,3,4,6,9,12,18,36,89,178,267,356,534,801,1068,1602,3204
Greatest Common Factor
We found the factors 1170,3204 . The biggest common factor number is the GCF number.
So the greatest common factor 1170,3204 is 18.
Lets's calculate LCM of 556,6209
Given numbers has no common factors except 1. So, there LCM is their product i.e 3452204
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/3452204
Therefore, the GCF of Fractions 1170/556,3204/6209 is 18/3452204
Least Common Multiple of 556,6209 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 556,6209 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(556,6209) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(556,6209) x common factors =1 x 1 = 1
LCM(556,6209) = ( 556 × 6209 ) / 1
LCM(556,6209) = 3452204 / 1
LCM(556,6209) = 3452204
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FAQs on GCF of Fractions of 1170/556, 3204/6209
1. What is the HCF of 1170,3204?
The HCF of 1170,3204 is 18
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 1170/556, 3204/6209?
Answer: GCF of Numerators as per given numbers 1170/556, 3204/6209 is
GCF of Numerators i.e. for 1170,3204 is 18
LCM of denominators i.e. for 556,6209 is 3452204.
Thus, GCF of Fractions is 18/3452204.Finally, GCF of Fractions for 1170/556, 3204/6209 is 18/3452204.