GCF of 3628/812, 1705/4976
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3628/812, 1705/4976 i.e 1/1010128 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3628/812, 1705/4976.
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 3628/812,1705/4976?
Given fractions are 3628/812,1705/4976
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 3628/812,1705/4976, numerators are 3628,1705
Denominators are 812,4976
The GCF of 3628,1705 is 1 .
LCM of 812,4976 is 1010128.
The greatest common factor of 3628/812,1705/4976 = [GCF of 3628,1705]/[LCM of 812,4976]= 1/1010128
Therefore, the GCF of 3628/812,1705/4976 is 1/1010128.
To find the highest common factor of 3628,1705, we have to find the factors of both numbers and list the highest common factor.
The factors of 3628 are 1, 2, 4, 907, 1814, 3628
The factors of 1705 are 1, 5, 11, 31, 55, 155, 341, 1705
The HCF of 3628,1705 is 1.
Lets's calculate GCF of 3628,1705
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3628,1705 By Matching Biggest Common Factor Method
Now, list down the factors of 3628
:1,2,4,907,1814,3628
Now, list down the factors of 1705
:1,5,11,31,55,155,341,1705
Greatest Common Factor
We found the factors 3628,1705 . The biggest common factor number is the GCF number.
So the greatest common factor 3628,1705 is 1.
Lets's calculate LCM of 812,4976
| 2 | 812, 4976 |
| 2 | 406, 2488 |
| 203, 1244 |
∴ So the LCM of the given numbers is 2 x 2 x 203 x 1244 = 1010128
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1010128
Therefore, the GCF of Fractions 3628/812,1705/4976 is 1/1010128
Least Common Multiple of 812,4976 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 812,4976 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(812,4976) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(812,4976) x common factors =4 x 1 = 4
LCM(812,4976) = ( 812 × 4976 ) / 4
LCM(812,4976) = 4040512 / 4
LCM(812,4976) = 1010128
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FAQs on GCF of Fractions of 3628/812, 1705/4976
1. What is the HCF of 3628,1705?
The HCF of 3628,1705 is 1
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 3628/812, 1705/4976?
Answer: GCF of Numerators as per given numbers 3628/812, 1705/4976 is
GCF of Numerators i.e. for 3628,1705 is 1
LCM of denominators i.e. for 812,4976 is 1010128.
Thus, GCF of Fractions is 1/1010128.Finally, GCF of Fractions for 3628/812, 1705/4976 is 1/1010128.