GCF of 8346/652, 5214/6515
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8346/652, 5214/6515 i.e 6/4247780 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8346/652, 5214/6515.
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 8346/652,5214/6515?
Given fractions are 8346/652,5214/6515
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 8346/652,5214/6515, numerators are 8346,5214
Denominators are 652,6515
The GCF of 8346,5214 is 6 .
LCM of 652,6515 is 4247780.
The greatest common factor of 8346/652,5214/6515 = [GCF of 8346,5214]/[LCM of 652,6515]= 6/4247780
Therefore, the GCF of 8346/652,5214/6515 is 6/4247780.
To find the highest common factor of 8346,5214, we have to find the factors of both numbers and list the highest common factor.
The factors of 8346 are 1, 2, 3, 6, 13, 26, 39, 78, 107, 214, 321, 642, 1391, 2782, 4173, 8346
The factors of 5214 are 1, 2, 3, 6, 11, 22, 33, 66, 79, 158, 237, 474, 869, 1738, 2607, 5214
The HCF of 8346,5214 is 6.
Lets's calculate GCF of 8346,5214
| 2 | 8346, 5214 |
| 3 | 4173, 2607 |
| 1391, 869 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 8346,5214 By Matching Biggest Common Factor Method
Now, list down the factors of 8346
:1,2,3,6,13,26,39,78,107,214,321,642,1391,2782,4173,8346
Now, list down the factors of 5214
:1,2,3,6,11,22,33,66,79,158,237,474,869,1738,2607,5214
Greatest Common Factor
We found the factors 8346,5214 . The biggest common factor number is the GCF number.
So the greatest common factor 8346,5214 is 6.
Lets's calculate LCM of 652,6515
Given numbers has no common factors except 1. So, there LCM is their product i.e 4247780
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/4247780
Therefore, the GCF of Fractions 8346/652,5214/6515 is 6/4247780
Least Common Multiple of 652,6515 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 652,6515 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(652,6515) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(652,6515) x common factors =1 x 1 = 1
LCM(652,6515) = ( 652 × 6515 ) / 1
LCM(652,6515) = 4247780 / 1
LCM(652,6515) = 4247780
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FAQs on GCF of Fractions of 8346/652, 5214/6515
1. What is the HCF of 8346,5214?
The HCF of 8346,5214 is 6
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 8346/652, 5214/6515?
Answer: GCF of Numerators as per given numbers 8346/652, 5214/6515 is
GCF of Numerators i.e. for 8346,5214 is 6
LCM of denominators i.e. for 652,6515 is 4247780.
Thus, GCF of Fractions is 6/4247780.Finally, GCF of Fractions for 8346/652, 5214/6515 is 6/4247780.