GCF of 2624/949, 3280/8019
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2624/949, 3280/8019 i.e 656/7610031 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2624/949, 3280/8019.
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 2624/949,3280/8019?
Given fractions are 2624/949,3280/8019
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 2624/949,3280/8019, numerators are 2624,3280
Denominators are 949,8019
The GCF of 2624,3280 is 656 .
LCM of 949,8019 is 7610031.
The greatest common factor of 2624/949,3280/8019 = [GCF of 2624,3280]/[LCM of 949,8019]= 656/7610031
Therefore, the GCF of 2624/949,3280/8019 is 656/7610031.
To find the highest common factor of 2624,3280, we have to find the factors of both numbers and list the highest common factor.
The factors of 2624 are 1, 2, 4, 8, 16, 32, 41, 64, 82, 164, 328, 656, 1312, 2624
The factors of 3280 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 41, 80, 82, 164, 205, 328, 410, 656, 820, 1640, 3280
The HCF of 2624,3280 is 656.
Lets's calculate GCF of 2624,3280
| 2 | 2624, 3280 |
| 2 | 1312, 1640 |
| 2 | 656, 820 |
| 2 | 328, 410 |
| 41 | 164, 205 |
| 4, 5 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 41 = 656
Greatest Common Factor of 2624,3280 By Matching Biggest Common Factor Method
Now, list down the factors of 2624
:1,2,4,8,16,32,41,64,82,164,328,656,1312,2624
Now, list down the factors of 3280
:1,2,4,5,8,10,16,20,40,41,80,82,164,205,328,410,656,820,1640,3280
Greatest Common Factor
We found the factors 2624,3280 . The biggest common factor number is the GCF number.
So the greatest common factor 2624,3280 is 656.
Lets's calculate LCM of 949,8019
Given numbers has no common factors except 1. So, there LCM is their product i.e 7610031
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 656/7610031
Therefore, the GCF of Fractions 2624/949,3280/8019 is 656/7610031
Least Common Multiple of 949,8019 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 949,8019 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(949,8019) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(949,8019) x common factors =1 x 1 = 1
LCM(949,8019) = ( 949 × 8019 ) / 1
LCM(949,8019) = 7610031 / 1
LCM(949,8019) = 7610031
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FAQs on GCF of Fractions of 2624/949, 3280/8019
1. What is the HCF of 2624,3280?
The HCF of 2624,3280 is 656
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 2624/949, 3280/8019?
Answer: GCF of Numerators as per given numbers 2624/949, 3280/8019 is
GCF of Numerators i.e. for 2624,3280 is 656
LCM of denominators i.e. for 949,8019 is 7610031.
Thus, GCF of Fractions is 656/7610031.Finally, GCF of Fractions for 2624/949, 3280/8019 is 656/7610031.