GCF of 1594/265, 4056/8485
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1594/265, 4056/8485 i.e 2/449705 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1594/265, 4056/8485.
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 1594/265,4056/8485?
Given fractions are 1594/265,4056/8485
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 1594/265,4056/8485, numerators are 1594,4056
Denominators are 265,8485
The GCF of 1594,4056 is 2 .
LCM of 265,8485 is 449705.
The greatest common factor of 1594/265,4056/8485 = [GCF of 1594,4056]/[LCM of 265,8485]= 2/449705
Therefore, the GCF of 1594/265,4056/8485 is 2/449705.
To find the highest common factor of 1594,4056, we have to find the factors of both numbers and list the highest common factor.
The factors of 1594 are 1, 2, 797, 1594
The factors of 4056 are 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 169, 312, 338, 507, 676, 1014, 1352, 2028, 4056
The HCF of 1594,4056 is 2.
Lets's calculate GCF of 1594,4056
| 2 | 1594, 4056 |
| 797, 2028 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1594,4056 By Matching Biggest Common Factor Method
Now, list down the factors of 1594
:1,2,797,1594
Now, list down the factors of 4056
:1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,169,312,338,507,676,1014,1352,2028,4056
Greatest Common Factor
We found the factors 1594,4056 . The biggest common factor number is the GCF number.
So the greatest common factor 1594,4056 is 2.
Lets's calculate LCM of 265,8485
| 5 | 265, 8485 |
| 53, 1697 |
∴ So the LCM of the given numbers is 5 x 53 x 1697 = 449705
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/449705
Therefore, the GCF of Fractions 1594/265,4056/8485 is 2/449705
Least Common Multiple of 265,8485 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 265,8485 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(265,8485) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(265,8485) x common factors =5 x 1 = 5
LCM(265,8485) = ( 265 × 8485 ) / 5
LCM(265,8485) = 2248525 / 5
LCM(265,8485) = 449705
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FAQs on GCF of Fractions of 1594/265, 4056/8485
1. What is the HCF of 1594,4056?
The HCF of 1594,4056 is 2
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 1594/265, 4056/8485?
Answer: GCF of Numerators as per given numbers 1594/265, 4056/8485 is
GCF of Numerators i.e. for 1594,4056 is 2
LCM of denominators i.e. for 265,8485 is 449705.
Thus, GCF of Fractions is 2/449705.Finally, GCF of Fractions for 1594/265, 4056/8485 is 2/449705.