GCF of 1776/208, 8621/7160
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1776/208, 8621/7160 i.e 37/186160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1776/208, 8621/7160.
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 1776/208,8621/7160?
Given fractions are 1776/208,8621/7160
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 1776/208,8621/7160, numerators are 1776,8621
Denominators are 208,7160
The GCF of 1776,8621 is 37 .
LCM of 208,7160 is 186160.
The greatest common factor of 1776/208,8621/7160 = [GCF of 1776,8621]/[LCM of 208,7160]= 37/186160
Therefore, the GCF of 1776/208,8621/7160 is 37/186160.
To find the highest common factor of 1776,8621, we have to find the factors of both numbers and list the highest common factor.
The factors of 1776 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 37, 48, 74, 111, 148, 222, 296, 444, 592, 888, 1776
The factors of 8621 are 1, 37, 233, 8621
The HCF of 1776,8621 is 37.
Lets's calculate GCF of 1776,8621
| 37 | 1776, 8621 |
| 48, 233 |
∴ So the GCF of the given numbers is 37 = 37
Greatest Common Factor of 1776,8621 By Matching Biggest Common Factor Method
Now, list down the factors of 1776
:1,2,3,4,6,8,12,16,24,37,48,74,111,148,222,296,444,592,888,1776
Now, list down the factors of 8621
:1,37,233,8621
Greatest Common Factor
We found the factors 1776,8621 . The biggest common factor number is the GCF number.
So the greatest common factor 1776,8621 is 37.
Lets's calculate LCM of 208,7160
| 2 | 208, 7160 |
| 2 | 104, 3580 |
| 2 | 52, 1790 |
| 26, 895 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 26 x 895 = 186160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 37/186160
Therefore, the GCF of Fractions 1776/208,8621/7160 is 37/186160
Least Common Multiple of 208,7160 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 208,7160 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(208,7160) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(208,7160) x common factors =8 x 1 = 8
LCM(208,7160) = ( 208 × 7160 ) / 8
LCM(208,7160) = 1489280 / 8
LCM(208,7160) = 186160
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FAQs on GCF of Fractions of 1776/208, 8621/7160
1. What is the HCF of 1776,8621?
The HCF of 1776,8621 is 37
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 1776/208, 8621/7160?
Answer: GCF of Numerators as per given numbers 1776/208, 8621/7160 is
GCF of Numerators i.e. for 1776,8621 is 37
LCM of denominators i.e. for 208,7160 is 186160.
Thus, GCF of Fractions is 37/186160.Finally, GCF of Fractions for 1776/208, 8621/7160 is 37/186160.