GCF of 1760/838, 1788/2188
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1760/838, 1788/2188 i.e 4/916772 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1760/838, 1788/2188.
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 1760/838,1788/2188?
Given fractions are 1760/838,1788/2188
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 1760/838,1788/2188, numerators are 1760,1788
Denominators are 838,2188
The GCF of 1760,1788 is 4 .
LCM of 838,2188 is 916772.
The greatest common factor of 1760/838,1788/2188 = [GCF of 1760,1788]/[LCM of 838,2188]= 4/916772
Therefore, the GCF of 1760/838,1788/2188 is 4/916772.
To find the highest common factor of 1760,1788, we have to find the factors of both numbers and list the highest common factor.
The factors of 1760 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 32, 40, 44, 55, 80, 88, 110, 160, 176, 220, 352, 440, 880, 1760
The factors of 1788 are 1, 2, 3, 4, 6, 12, 149, 298, 447, 596, 894, 1788
The HCF of 1760,1788 is 4.
Lets's calculate GCF of 1760,1788
| 2 | 1760, 1788 |
| 2 | 880, 894 |
| 440, 447 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 1760,1788 By Matching Biggest Common Factor Method
Now, list down the factors of 1760
:1,2,4,5,8,10,11,16,20,22,32,40,44,55,80,88,110,160,176,220,352,440,880,1760
Now, list down the factors of 1788
:1,2,3,4,6,12,149,298,447,596,894,1788
Greatest Common Factor
We found the factors 1760,1788 . The biggest common factor number is the GCF number.
So the greatest common factor 1760,1788 is 4.
Lets's calculate LCM of 838,2188
| 2 | 838, 2188 |
| 419, 1094 |
∴ So the LCM of the given numbers is 2 x 419 x 1094 = 916772
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/916772
Therefore, the GCF of Fractions 1760/838,1788/2188 is 4/916772
Least Common Multiple of 838,2188 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 838,2188 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(838,2188) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(838,2188) x common factors =2 x 1 = 2
LCM(838,2188) = ( 838 × 2188 ) / 2
LCM(838,2188) = 1833544 / 2
LCM(838,2188) = 916772
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FAQs on GCF of Fractions of 1760/838, 1788/2188
1. What is the HCF of 1760,1788?
The HCF of 1760,1788 is 4
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 1760/838, 1788/2188?
Answer: GCF of Numerators as per given numbers 1760/838, 1788/2188 is
GCF of Numerators i.e. for 1760,1788 is 4
LCM of denominators i.e. for 838,2188 is 916772.
Thus, GCF of Fractions is 4/916772.Finally, GCF of Fractions for 1760/838, 1788/2188 is 4/916772.