GCF of 5390/372, 7969/6237
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5390/372, 7969/6237 i.e 1/773388 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5390/372, 7969/6237.
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 5390/372,7969/6237?
Given fractions are 5390/372,7969/6237
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 5390/372,7969/6237, numerators are 5390,7969
Denominators are 372,6237
The GCF of 5390,7969 is 1 .
LCM of 372,6237 is 773388.
The greatest common factor of 5390/372,7969/6237 = [GCF of 5390,7969]/[LCM of 372,6237]= 1/773388
Therefore, the GCF of 5390/372,7969/6237 is 1/773388.
To find the highest common factor of 5390,7969, we have to find the factors of both numbers and list the highest common factor.
The factors of 5390 are 1, 2, 5, 7, 10, 11, 14, 22, 35, 49, 55, 70, 77, 98, 110, 154, 245, 385, 490, 539, 770, 1078, 2695, 5390
The factors of 7969 are 1, 13, 613, 7969
The HCF of 5390,7969 is 1.
Lets's calculate GCF of 5390,7969
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5390,7969 By Matching Biggest Common Factor Method
Now, list down the factors of 5390
:1,2,5,7,10,11,14,22,35,49,55,70,77,98,110,154,245,385,490,539,770,1078,2695,5390
Now, list down the factors of 7969
:1,13,613,7969
Greatest Common Factor
We found the factors 5390,7969 . The biggest common factor number is the GCF number.
So the greatest common factor 5390,7969 is 1.
Lets's calculate LCM of 372,6237
| 3 | 372, 6237 |
| 124, 2079 |
∴ So the LCM of the given numbers is 3 x 124 x 2079 = 773388
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/773388
Therefore, the GCF of Fractions 5390/372,7969/6237 is 1/773388
Least Common Multiple of 372,6237 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 372,6237 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(372,6237) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(372,6237) x common factors =3 x 1 = 3
LCM(372,6237) = ( 372 × 6237 ) / 3
LCM(372,6237) = 2320164 / 3
LCM(372,6237) = 773388
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FAQs on GCF of Fractions of 5390/372, 7969/6237
1. What is the HCF of 5390,7969?
The HCF of 5390,7969 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 5390/372, 7969/6237?
Answer: GCF of Numerators as per given numbers 5390/372, 7969/6237 is
GCF of Numerators i.e. for 5390,7969 is 1
LCM of denominators i.e. for 372,6237 is 773388.
Thus, GCF of Fractions is 1/773388.Finally, GCF of Fractions for 5390/372, 7969/6237 is 1/773388.