GCF of 2656/917, 2610/982
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2656/917, 2610/982 i.e 2/900494 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2656/917, 2610/982.
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 2656/917,2610/982?
Given fractions are 2656/917,2610/982
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 2656/917,2610/982, numerators are 2656,2610
Denominators are 917,982
The GCF of 2656,2610 is 2 .
LCM of 917,982 is 900494.
The greatest common factor of 2656/917,2610/982 = [GCF of 2656,2610]/[LCM of 917,982]= 2/900494
Therefore, the GCF of 2656/917,2610/982 is 2/900494.
To find the highest common factor of 2656,2610, we have to find the factors of both numbers and list the highest common factor.
The factors of 2656 are 1, 2, 4, 8, 16, 32, 83, 166, 332, 664, 1328, 2656
The factors of 2610 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 29, 30, 45, 58, 87, 90, 145, 174, 261, 290, 435, 522, 870, 1305, 2610
The HCF of 2656,2610 is 2.
Lets's calculate GCF of 2656,2610
| 2 | 2656, 2610 |
| 1328, 1305 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2656,2610 By Matching Biggest Common Factor Method
Now, list down the factors of 2656
:1,2,4,8,16,32,83,166,332,664,1328,2656
Now, list down the factors of 2610
:1,2,3,5,6,9,10,15,18,29,30,45,58,87,90,145,174,261,290,435,522,870,1305,2610
Greatest Common Factor
We found the factors 2656,2610 . The biggest common factor number is the GCF number.
So the greatest common factor 2656,2610 is 2.
Lets's calculate LCM of 917,982
Given numbers has no common factors except 1. So, there LCM is their product i.e 900494
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/900494
Therefore, the GCF of Fractions 2656/917,2610/982 is 2/900494
Least Common Multiple of 917,982 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 917,982 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(917,982) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(917,982) x common factors =1 x 1 = 1
LCM(917,982) = ( 917 × 982 ) / 1
LCM(917,982) = 900494 / 1
LCM(917,982) = 900494
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FAQs on GCF of Fractions of 2656/917, 2610/982
1. What is the HCF of 2656,2610?
The HCF of 2656,2610 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 2656/917, 2610/982?
Answer: GCF of Numerators as per given numbers 2656/917, 2610/982 is
GCF of Numerators i.e. for 2656,2610 is 2
LCM of denominators i.e. for 917,982 is 900494.
Thus, GCF of Fractions is 2/900494.Finally, GCF of Fractions for 2656/917, 2610/982 is 2/900494.