GCF of 4495/163, 5655/9749
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4495/163, 5655/9749 i.e 145/1589087 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4495/163, 5655/9749.
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 4495/163,5655/9749?
Given fractions are 4495/163,5655/9749
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 4495/163,5655/9749, numerators are 4495,5655
Denominators are 163,9749
The GCF of 4495,5655 is 145 .
LCM of 163,9749 is 1589087.
The greatest common factor of 4495/163,5655/9749 = [GCF of 4495,5655]/[LCM of 163,9749]= 145/1589087
Therefore, the GCF of 4495/163,5655/9749 is 145/1589087.
To find the highest common factor of 4495,5655, we have to find the factors of both numbers and list the highest common factor.
The factors of 4495 are 1, 5, 29, 31, 145, 155, 899, 4495
The factors of 5655 are 1, 3, 5, 13, 15, 29, 39, 65, 87, 145, 195, 377, 435, 1131, 1885, 5655
The HCF of 4495,5655 is 145.
Lets's calculate GCF of 4495,5655
| 5 | 4495, 5655 |
| 29 | 899, 1131 |
| 31, 39 |
∴ So the GCF of the given numbers is 5 x 29 = 145
Greatest Common Factor of 4495,5655 By Matching Biggest Common Factor Method
Now, list down the factors of 4495
:1,5,29,31,145,155,899,4495
Now, list down the factors of 5655
:1,3,5,13,15,29,39,65,87,145,195,377,435,1131,1885,5655
Greatest Common Factor
We found the factors 4495,5655 . The biggest common factor number is the GCF number.
So the greatest common factor 4495,5655 is 145.
Lets's calculate LCM of 163,9749
Given numbers has no common factors except 1. So, there LCM is their product i.e 1589087
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 145/1589087
Therefore, the GCF of Fractions 4495/163,5655/9749 is 145/1589087
Least Common Multiple of 163,9749 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 163,9749 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(163,9749) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(163,9749) x common factors =1 x 1 = 1
LCM(163,9749) = ( 163 × 9749 ) / 1
LCM(163,9749) = 1589087 / 1
LCM(163,9749) = 1589087
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FAQs on GCF of Fractions of 4495/163, 5655/9749
1. What is the HCF of 4495,5655?
The HCF of 4495,5655 is 145
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 4495/163, 5655/9749?
Answer: GCF of Numerators as per given numbers 4495/163, 5655/9749 is
GCF of Numerators i.e. for 4495,5655 is 145
LCM of denominators i.e. for 163,9749 is 1589087.
Thus, GCF of Fractions is 145/1589087.Finally, GCF of Fractions for 4495/163, 5655/9749 is 145/1589087.