GCF of 3640/801, 8624/8109
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3640/801, 8624/8109 i.e 56/721701 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3640/801, 8624/8109.
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 3640/801,8624/8109?
Given fractions are 3640/801,8624/8109
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 3640/801,8624/8109, numerators are 3640,8624
Denominators are 801,8109
The GCF of 3640,8624 is 56 .
LCM of 801,8109 is 721701.
The greatest common factor of 3640/801,8624/8109 = [GCF of 3640,8624]/[LCM of 801,8109]= 56/721701
Therefore, the GCF of 3640/801,8624/8109 is 56/721701.
To find the highest common factor of 3640,8624, we have to find the factors of both numbers and list the highest common factor.
The factors of 3640 are 1, 2, 4, 5, 7, 8, 10, 13, 14, 20, 26, 28, 35, 40, 52, 56, 65, 70, 91, 104, 130, 140, 182, 260, 280, 364, 455, 520, 728, 910, 1820, 3640
The factors of 8624 are 1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 44, 49, 56, 77, 88, 98, 112, 154, 176, 196, 308, 392, 539, 616, 784, 1078, 1232, 2156, 4312, 8624
The HCF of 3640,8624 is 56.
Lets's calculate GCF of 3640,8624
| 2 | 3640, 8624 |
| 2 | 1820, 4312 |
| 2 | 910, 2156 |
| 7 | 455, 1078 |
| 65, 154 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 7 = 56
Greatest Common Factor of 3640,8624 By Matching Biggest Common Factor Method
Now, list down the factors of 3640
:1,2,4,5,7,8,10,13,14,20,26,28,35,40,52,56,65,70,91,104,130,140,182,260,280,364,455,520,728,910,1820,3640
Now, list down the factors of 8624
:1,2,4,7,8,11,14,16,22,28,44,49,56,77,88,98,112,154,176,196,308,392,539,616,784,1078,1232,2156,4312,8624
Greatest Common Factor
We found the factors 3640,8624 . The biggest common factor number is the GCF number.
So the greatest common factor 3640,8624 is 56.
Lets's calculate LCM of 801,8109
| 3 | 801, 8109 |
| 3 | 267, 2703 |
| 89, 901 |
∴ So the LCM of the given numbers is 3 x 3 x 89 x 901 = 721701
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 56/721701
Therefore, the GCF of Fractions 3640/801,8624/8109 is 56/721701
Least Common Multiple of 801,8109 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 801,8109 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(801,8109) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(801,8109) x common factors =9 x 1 = 9
LCM(801,8109) = ( 801 × 8109 ) / 9
LCM(801,8109) = 6495309 / 9
LCM(801,8109) = 721701
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FAQs on GCF of Fractions of 3640/801, 8624/8109
1. What is the HCF of 3640,8624?
The HCF of 3640,8624 is 56
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 3640/801, 8624/8109?
Answer: GCF of Numerators as per given numbers 3640/801, 8624/8109 is
GCF of Numerators i.e. for 3640,8624 is 56
LCM of denominators i.e. for 801,8109 is 721701.
Thus, GCF of Fractions is 56/721701.Finally, GCF of Fractions for 3640/801, 8624/8109 is 56/721701.