GCF of 8382/237, 1760/8640
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8382/237, 1760/8640 i.e 22/682560 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8382/237, 1760/8640.
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 8382/237,1760/8640?
Given fractions are 8382/237,1760/8640
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 8382/237,1760/8640, numerators are 8382,1760
Denominators are 237,8640
The GCF of 8382,1760 is 22 .
LCM of 237,8640 is 682560.
The greatest common factor of 8382/237,1760/8640 = [GCF of 8382,1760]/[LCM of 237,8640]= 22/682560
Therefore, the GCF of 8382/237,1760/8640 is 22/682560.
To find the highest common factor of 8382,1760, we have to find the factors of both numbers and list the highest common factor.
The factors of 8382 are 1, 2, 3, 6, 11, 22, 33, 66, 127, 254, 381, 762, 1397, 2794, 4191, 8382
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 HCF of 8382,1760 is 22.
Lets's calculate GCF of 8382,1760
| 2 | 8382, 1760 |
| 11 | 4191, 880 |
| 381, 80 |
∴ So the GCF of the given numbers is 2 x 11 = 22
Greatest Common Factor of 8382,1760 By Matching Biggest Common Factor Method
Now, list down the factors of 8382
:1,2,3,6,11,22,33,66,127,254,381,762,1397,2794,4191,8382
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
Greatest Common Factor
We found the factors 8382,1760 . The biggest common factor number is the GCF number.
So the greatest common factor 8382,1760 is 22.
Lets's calculate LCM of 237,8640
| 3 | 237, 8640 |
| 79, 2880 |
∴ So the LCM of the given numbers is 3 x 79 x 2880 = 682560
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/682560
Therefore, the GCF of Fractions 8382/237,1760/8640 is 22/682560
Least Common Multiple of 237,8640 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 237,8640 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(237,8640) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(237,8640) x common factors =3 x 1 = 3
LCM(237,8640) = ( 237 × 8640 ) / 3
LCM(237,8640) = 2047680 / 3
LCM(237,8640) = 682560
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FAQs on GCF of Fractions of 8382/237, 1760/8640
1. What is the HCF of 8382,1760?
The HCF of 8382,1760 is 22
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 8382/237, 1760/8640?
Answer: GCF of Numerators as per given numbers 8382/237, 1760/8640 is
GCF of Numerators i.e. for 8382,1760 is 22
LCM of denominators i.e. for 237,8640 is 682560.
Thus, GCF of Fractions is 22/682560.Finally, GCF of Fractions for 8382/237, 1760/8640 is 22/682560.