GCF of 5002/874, 6880/3353
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5002/874, 6880/3353 i.e 2/2930522 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5002/874, 6880/3353.
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 5002/874,6880/3353?
Given fractions are 5002/874,6880/3353
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 5002/874,6880/3353, numerators are 5002,6880
Denominators are 874,3353
The GCF of 5002,6880 is 2 .
LCM of 874,3353 is 2930522.
The greatest common factor of 5002/874,6880/3353 = [GCF of 5002,6880]/[LCM of 874,3353]= 2/2930522
Therefore, the GCF of 5002/874,6880/3353 is 2/2930522.
To find the highest common factor of 5002,6880, we have to find the factors of both numbers and list the highest common factor.
The factors of 5002 are 1, 2, 41, 61, 82, 122, 2501, 5002
The factors of 6880 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 43, 80, 86, 160, 172, 215, 344, 430, 688, 860, 1376, 1720, 3440, 6880
The HCF of 5002,6880 is 2.
Lets's calculate GCF of 5002,6880
| 2 | 5002, 6880 |
| 2501, 3440 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5002,6880 By Matching Biggest Common Factor Method
Now, list down the factors of 5002
:1,2,41,61,82,122,2501,5002
Now, list down the factors of 6880
:1,2,4,5,8,10,16,20,32,40,43,80,86,160,172,215,344,430,688,860,1376,1720,3440,6880
Greatest Common Factor
We found the factors 5002,6880 . The biggest common factor number is the GCF number.
So the greatest common factor 5002,6880 is 2.
Lets's calculate LCM of 874,3353
Given numbers has no common factors except 1. So, there LCM is their product i.e 2930522
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2930522
Therefore, the GCF of Fractions 5002/874,6880/3353 is 2/2930522
Least Common Multiple of 874,3353 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 874,3353 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(874,3353) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(874,3353) x common factors =1 x 1 = 1
LCM(874,3353) = ( 874 × 3353 ) / 1
LCM(874,3353) = 2930522 / 1
LCM(874,3353) = 2930522
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FAQs on GCF of Fractions of 5002/874, 6880/3353
1. What is the HCF of 5002,6880?
The HCF of 5002,6880 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 5002/874, 6880/3353?
Answer: GCF of Numerators as per given numbers 5002/874, 6880/3353 is
GCF of Numerators i.e. for 5002,6880 is 2
LCM of denominators i.e. for 874,3353 is 2930522.
Thus, GCF of Fractions is 2/2930522.Finally, GCF of Fractions for 5002/874, 6880/3353 is 2/2930522.