GCF of 4829/148, 1705/5545
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4829/148, 1705/5545 i.e 11/820660 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4829/148, 1705/5545.
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 4829/148,1705/5545?
Given fractions are 4829/148,1705/5545
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 4829/148,1705/5545, numerators are 4829,1705
Denominators are 148,5545
The GCF of 4829,1705 is 11 .
LCM of 148,5545 is 820660.
The greatest common factor of 4829/148,1705/5545 = [GCF of 4829,1705]/[LCM of 148,5545]= 11/820660
Therefore, the GCF of 4829/148,1705/5545 is 11/820660.
To find the highest common factor of 4829,1705, we have to find the factors of both numbers and list the highest common factor.
The factors of 4829 are 1, 11, 439, 4829
The factors of 1705 are 1, 5, 11, 31, 55, 155, 341, 1705
The HCF of 4829,1705 is 11.
Lets's calculate GCF of 4829,1705
| 11 | 4829, 1705 |
| 439, 155 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 4829,1705 By Matching Biggest Common Factor Method
Now, list down the factors of 4829
:1,11,439,4829
Now, list down the factors of 1705
:1,5,11,31,55,155,341,1705
Greatest Common Factor
We found the factors 4829,1705 . The biggest common factor number is the GCF number.
So the greatest common factor 4829,1705 is 11.
Lets's calculate LCM of 148,5545
Given numbers has no common factors except 1. So, there LCM is their product i.e 820660
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/820660
Therefore, the GCF of Fractions 4829/148,1705/5545 is 11/820660
Least Common Multiple of 148,5545 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 148,5545 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(148,5545) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(148,5545) x common factors =1 x 1 = 1
LCM(148,5545) = ( 148 × 5545 ) / 1
LCM(148,5545) = 820660 / 1
LCM(148,5545) = 820660
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FAQs on GCF of Fractions of 4829/148, 1705/5545
1. What is the HCF of 4829,1705?
The HCF of 4829,1705 is 11
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 4829/148, 1705/5545?
Answer: GCF of Numerators as per given numbers 4829/148, 1705/5545 is
GCF of Numerators i.e. for 4829,1705 is 11
LCM of denominators i.e. for 148,5545 is 820660.
Thus, GCF of Fractions is 11/820660.Finally, GCF of Fractions for 4829/148, 1705/5545 is 11/820660.