GCF of 5635/181, 1764/6823
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5635/181, 1764/6823 i.e 49/1234963 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5635/181, 1764/6823.
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 5635/181,1764/6823?
Given fractions are 5635/181,1764/6823
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 5635/181,1764/6823, numerators are 5635,1764
Denominators are 181,6823
The GCF of 5635,1764 is 49 .
LCM of 181,6823 is 1234963.
The greatest common factor of 5635/181,1764/6823 = [GCF of 5635,1764]/[LCM of 181,6823]= 49/1234963
Therefore, the GCF of 5635/181,1764/6823 is 49/1234963.
To find the highest common factor of 5635,1764, we have to find the factors of both numbers and list the highest common factor.
The factors of 5635 are 1, 5, 7, 23, 35, 49, 115, 161, 245, 805, 1127, 5635
The factors of 1764 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 49, 63, 84, 98, 126, 147, 196, 252, 294, 441, 588, 882, 1764
The HCF of 5635,1764 is 49.
Lets's calculate GCF of 5635,1764
| 7 | 5635, 1764 |
| 7 | 805, 252 |
| 115, 36 |
∴ So the GCF of the given numbers is 7 x 7 = 49
Greatest Common Factor of 5635,1764 By Matching Biggest Common Factor Method
Now, list down the factors of 5635
:1,5,7,23,35,49,115,161,245,805,1127,5635
Now, list down the factors of 1764
:1,2,3,4,6,7,9,12,14,18,21,28,36,42,49,63,84,98,126,147,196,252,294,441,588,882,1764
Greatest Common Factor
We found the factors 5635,1764 . The biggest common factor number is the GCF number.
So the greatest common factor 5635,1764 is 49.
Lets's calculate LCM of 181,6823
Given numbers has no common factors except 1. So, there LCM is their product i.e 1234963
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 49/1234963
Therefore, the GCF of Fractions 5635/181,1764/6823 is 49/1234963
Least Common Multiple of 181,6823 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 181,6823 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(181,6823) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(181,6823) x common factors =1 x 1 = 1
LCM(181,6823) = ( 181 × 6823 ) / 1
LCM(181,6823) = 1234963 / 1
LCM(181,6823) = 1234963
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FAQs on GCF of Fractions of 5635/181, 1764/6823
1. What is the HCF of 5635,1764?
The HCF of 5635,1764 is 49
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 5635/181, 1764/6823?
Answer: GCF of Numerators as per given numbers 5635/181, 1764/6823 is
GCF of Numerators i.e. for 5635,1764 is 49
LCM of denominators i.e. for 181,6823 is 1234963.
Thus, GCF of Fractions is 49/1234963.Finally, GCF of Fractions for 5635/181, 1764/6823 is 49/1234963.