GCF of 6640/874, 3380/8082
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6640/874, 3380/8082 i.e 20/3531834 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6640/874, 3380/8082.
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 6640/874,3380/8082?
Given fractions are 6640/874,3380/8082
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 6640/874,3380/8082, numerators are 6640,3380
Denominators are 874,8082
The GCF of 6640,3380 is 20 .
LCM of 874,8082 is 3531834.
The greatest common factor of 6640/874,3380/8082 = [GCF of 6640,3380]/[LCM of 874,8082]= 20/3531834
Therefore, the GCF of 6640/874,3380/8082 is 20/3531834.
To find the highest common factor of 6640,3380, we have to find the factors of both numbers and list the highest common factor.
The factors of 6640 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 83, 166, 332, 415, 664, 830, 1328, 1660, 3320, 6640
The factors of 3380 are 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 169, 260, 338, 676, 845, 1690, 3380
The HCF of 6640,3380 is 20.
Lets's calculate GCF of 6640,3380
| 2 | 6640, 3380 |
| 2 | 3320, 1690 |
| 5 | 1660, 845 |
| 332, 169 |
∴ So the GCF of the given numbers is 2 x 2 x 5 = 20
Greatest Common Factor of 6640,3380 By Matching Biggest Common Factor Method
Now, list down the factors of 6640
:1,2,4,5,8,10,16,20,40,80,83,166,332,415,664,830,1328,1660,3320,6640
Now, list down the factors of 3380
:1,2,4,5,10,13,20,26,52,65,130,169,260,338,676,845,1690,3380
Greatest Common Factor
We found the factors 6640,3380 . The biggest common factor number is the GCF number.
So the greatest common factor 6640,3380 is 20.
Lets's calculate LCM of 874,8082
| 2 | 874, 8082 |
| 437, 4041 |
∴ So the LCM of the given numbers is 2 x 437 x 4041 = 3531834
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/3531834
Therefore, the GCF of Fractions 6640/874,3380/8082 is 20/3531834
Least Common Multiple of 874,8082 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 874,8082 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(874,8082) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(874,8082) x common factors =2 x 1 = 2
LCM(874,8082) = ( 874 × 8082 ) / 2
LCM(874,8082) = 7063668 / 2
LCM(874,8082) = 3531834
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FAQs on GCF of Fractions of 6640/874, 3380/8082
1. What is the HCF of 6640,3380?
The HCF of 6640,3380 is 20
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 6640/874, 3380/8082?
Answer: GCF of Numerators as per given numbers 6640/874, 3380/8082 is
GCF of Numerators i.e. for 6640,3380 is 20
LCM of denominators i.e. for 874,8082 is 3531834.
Thus, GCF of Fractions is 20/3531834.Finally, GCF of Fractions for 6640/874, 3380/8082 is 20/3531834.