GCF of 2600/873, 1738/9705
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2600/873, 1738/9705 i.e 2/2824155 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2600/873, 1738/9705.
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 2600/873,1738/9705?
Given fractions are 2600/873,1738/9705
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 2600/873,1738/9705, numerators are 2600,1738
Denominators are 873,9705
The GCF of 2600,1738 is 2 .
LCM of 873,9705 is 2824155.
The greatest common factor of 2600/873,1738/9705 = [GCF of 2600,1738]/[LCM of 873,9705]= 2/2824155
Therefore, the GCF of 2600/873,1738/9705 is 2/2824155.
To find the highest common factor of 2600,1738, we have to find the factors of both numbers and list the highest common factor.
The factors of 2600 are 1, 2, 4, 5, 8, 10, 13, 20, 25, 26, 40, 50, 52, 65, 100, 104, 130, 200, 260, 325, 520, 650, 1300, 2600
The factors of 1738 are 1, 2, 11, 22, 79, 158, 869, 1738
The HCF of 2600,1738 is 2.
Lets's calculate GCF of 2600,1738
| 2 | 2600, 1738 |
| 1300, 869 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2600,1738 By Matching Biggest Common Factor Method
Now, list down the factors of 2600
:1,2,4,5,8,10,13,20,25,26,40,50,52,65,100,104,130,200,260,325,520,650,1300,2600
Now, list down the factors of 1738
:1,2,11,22,79,158,869,1738
Greatest Common Factor
We found the factors 2600,1738 . The biggest common factor number is the GCF number.
So the greatest common factor 2600,1738 is 2.
Lets's calculate LCM of 873,9705
| 3 | 873, 9705 |
| 291, 3235 |
∴ So the LCM of the given numbers is 3 x 291 x 3235 = 2824155
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2824155
Therefore, the GCF of Fractions 2600/873,1738/9705 is 2/2824155
Least Common Multiple of 873,9705 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 873,9705 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(873,9705) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(873,9705) x common factors =3 x 1 = 3
LCM(873,9705) = ( 873 × 9705 ) / 3
LCM(873,9705) = 8472465 / 3
LCM(873,9705) = 2824155
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FAQs on GCF of Fractions of 2600/873, 1738/9705
1. What is the HCF of 2600,1738?
The HCF of 2600,1738 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 2600/873, 1738/9705?
Answer: GCF of Numerators as per given numbers 2600/873, 1738/9705 is
GCF of Numerators i.e. for 2600,1738 is 2
LCM of denominators i.e. for 873,9705 is 2824155.
Thus, GCF of Fractions is 2/2824155.Finally, GCF of Fractions for 2600/873, 1738/9705 is 2/2824155.