GCF of 2190/741, 8880/6990
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2190/741, 8880/6990 i.e 30/1726530 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2190/741, 8880/6990.
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 2190/741,8880/6990?
Given fractions are 2190/741,8880/6990
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 2190/741,8880/6990, numerators are 2190,8880
Denominators are 741,6990
The GCF of 2190,8880 is 30 .
LCM of 741,6990 is 1726530.
The greatest common factor of 2190/741,8880/6990 = [GCF of 2190,8880]/[LCM of 741,6990]= 30/1726530
Therefore, the GCF of 2190/741,8880/6990 is 30/1726530.
To find the highest common factor of 2190,8880, we have to find the factors of both numbers and list the highest common factor.
The factors of 2190 are 1, 2, 3, 5, 6, 10, 15, 30, 73, 146, 219, 365, 438, 730, 1095, 2190
The factors of 8880 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 37, 40, 48, 60, 74, 80, 111, 120, 148, 185, 222, 240, 296, 370, 444, 555, 592, 740, 888, 1110, 1480, 1776, 2220, 2960, 4440, 8880
The HCF of 2190,8880 is 30.
Lets's calculate GCF of 2190,8880
| 2 | 2190, 8880 |
| 3 | 1095, 4440 |
| 5 | 365, 1480 |
| 73, 296 |
∴ So the GCF of the given numbers is 2 x 3 x 5 = 30
Greatest Common Factor of 2190,8880 By Matching Biggest Common Factor Method
Now, list down the factors of 2190
:1,2,3,5,6,10,15,30,73,146,219,365,438,730,1095,2190
Now, list down the factors of 8880
:1,2,3,4,5,6,8,10,12,15,16,20,24,30,37,40,48,60,74,80,111,120,148,185,222,240,296,370,444,555,592,740,888,1110,1480,1776,2220,2960,4440,8880
Greatest Common Factor
We found the factors 2190,8880 . The biggest common factor number is the GCF number.
So the greatest common factor 2190,8880 is 30.
Lets's calculate LCM of 741,6990
| 3 | 741, 6990 |
| 247, 2330 |
∴ So the LCM of the given numbers is 3 x 247 x 2330 = 1726530
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 30/1726530
Therefore, the GCF of Fractions 2190/741,8880/6990 is 30/1726530
Least Common Multiple of 741,6990 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 741,6990 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(741,6990) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(741,6990) x common factors =3 x 1 = 3
LCM(741,6990) = ( 741 × 6990 ) / 3
LCM(741,6990) = 5179590 / 3
LCM(741,6990) = 1726530
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 2190/741, 8880/6990
1. What is the HCF of 2190,8880?
The HCF of 2190,8880 is 30
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 2190/741, 8880/6990?
Answer: GCF of Numerators as per given numbers 2190/741, 8880/6990 is
GCF of Numerators i.e. for 2190,8880 is 30
LCM of denominators i.e. for 741,6990 is 1726530.
Thus, GCF of Fractions is 30/1726530.Finally, GCF of Fractions for 2190/741, 8880/6990 is 30/1726530.