GCF of 5375/326, 3870/5247
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5375/326, 3870/5247 i.e 215/1710522 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5375/326, 3870/5247.
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 5375/326,3870/5247?
Given fractions are 5375/326,3870/5247
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 5375/326,3870/5247, numerators are 5375,3870
Denominators are 326,5247
The GCF of 5375,3870 is 215 .
LCM of 326,5247 is 1710522.
The greatest common factor of 5375/326,3870/5247 = [GCF of 5375,3870]/[LCM of 326,5247]= 215/1710522
Therefore, the GCF of 5375/326,3870/5247 is 215/1710522.
To find the highest common factor of 5375,3870, we have to find the factors of both numbers and list the highest common factor.
The factors of 5375 are 1, 5, 25, 43, 125, 215, 1075, 5375
The factors of 3870 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 43, 45, 86, 90, 129, 215, 258, 387, 430, 645, 774, 1290, 1935, 3870
The HCF of 5375,3870 is 215.
Lets's calculate GCF of 5375,3870
| 5 | 5375, 3870 |
| 43 | 1075, 774 |
| 25, 18 |
∴ So the GCF of the given numbers is 5 x 43 = 215
Greatest Common Factor of 5375,3870 By Matching Biggest Common Factor Method
Now, list down the factors of 5375
:1,5,25,43,125,215,1075,5375
Now, list down the factors of 3870
:1,2,3,5,6,9,10,15,18,30,43,45,86,90,129,215,258,387,430,645,774,1290,1935,3870
Greatest Common Factor
We found the factors 5375,3870 . The biggest common factor number is the GCF number.
So the greatest common factor 5375,3870 is 215.
Lets's calculate LCM of 326,5247
Given numbers has no common factors except 1. So, there LCM is their product i.e 1710522
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 215/1710522
Therefore, the GCF of Fractions 5375/326,3870/5247 is 215/1710522
Least Common Multiple of 326,5247 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 326,5247 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(326,5247) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(326,5247) x common factors =1 x 1 = 1
LCM(326,5247) = ( 326 × 5247 ) / 1
LCM(326,5247) = 1710522 / 1
LCM(326,5247) = 1710522
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FAQs on GCF of Fractions of 5375/326, 3870/5247
1. What is the HCF of 5375,3870?
The HCF of 5375,3870 is 215
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 5375/326, 3870/5247?
Answer: GCF of Numerators as per given numbers 5375/326, 3870/5247 is
GCF of Numerators i.e. for 5375,3870 is 215
LCM of denominators i.e. for 326,5247 is 1710522.
Thus, GCF of Fractions is 215/1710522.Finally, GCF of Fractions for 5375/326, 3870/5247 is 215/1710522.