GCF of 5217/614, 6880/5893
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5217/614, 6880/5893 i.e 1/3618302 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5217/614, 6880/5893.
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 5217/614,6880/5893?
Given fractions are 5217/614,6880/5893
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 5217/614,6880/5893, numerators are 5217,6880
Denominators are 614,5893
The GCF of 5217,6880 is 1 .
LCM of 614,5893 is 3618302.
The greatest common factor of 5217/614,6880/5893 = [GCF of 5217,6880]/[LCM of 614,5893]= 1/3618302
Therefore, the GCF of 5217/614,6880/5893 is 1/3618302.
To find the highest common factor of 5217,6880, we have to find the factors of both numbers and list the highest common factor.
The factors of 5217 are 1, 3, 37, 47, 111, 141, 1739, 5217
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 5217,6880 is 1.
Lets's calculate GCF of 5217,6880
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5217,6880 By Matching Biggest Common Factor Method
Now, list down the factors of 5217
:1,3,37,47,111,141,1739,5217
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 5217,6880 . The biggest common factor number is the GCF number.
So the greatest common factor 5217,6880 is 1.
Lets's calculate LCM of 614,5893
Given numbers has no common factors except 1. So, there LCM is their product i.e 3618302
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3618302
Therefore, the GCF of Fractions 5217/614,6880/5893 is 1/3618302
Least Common Multiple of 614,5893 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 614,5893 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(614,5893) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(614,5893) x common factors =1 x 1 = 1
LCM(614,5893) = ( 614 × 5893 ) / 1
LCM(614,5893) = 3618302 / 1
LCM(614,5893) = 3618302
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FAQs on GCF of Fractions of 5217/614, 6880/5893
1. What is the HCF of 5217,6880?
The HCF of 5217,6880 is 1
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 5217/614, 6880/5893?
Answer: GCF of Numerators as per given numbers 5217/614, 6880/5893 is
GCF of Numerators i.e. for 5217,6880 is 1
LCM of denominators i.e. for 614,5893 is 3618302.
Thus, GCF of Fractions is 1/3618302.Finally, GCF of Fractions for 5217/614, 6880/5893 is 1/3618302.