GCF of 7689/470, 5437/412
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7689/470, 5437/412 i.e 1/96820 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7689/470, 5437/412.
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 7689/470,5437/412?
Given fractions are 7689/470,5437/412
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 7689/470,5437/412, numerators are 7689,5437
Denominators are 470,412
The GCF of 7689,5437 is 1 .
LCM of 470,412 is 96820.
The greatest common factor of 7689/470,5437/412 = [GCF of 7689,5437]/[LCM of 470,412]= 1/96820
Therefore, the GCF of 7689/470,5437/412 is 1/96820.
To find the highest common factor of 7689,5437, we have to find the factors of both numbers and list the highest common factor.
The factors of 7689 are 1, 3, 11, 33, 233, 699, 2563, 7689
The factors of 5437 are 1, 5437
The HCF of 7689,5437 is 1.
Lets's calculate GCF of 7689,5437
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7689,5437 By Matching Biggest Common Factor Method
Now, list down the factors of 7689
:1,3,11,33,233,699,2563,7689
Now, list down the factors of 5437
:1,5437
Greatest Common Factor
We found the factors 7689,5437 . The biggest common factor number is the GCF number.
So the greatest common factor 7689,5437 is 1.
Lets's calculate LCM of 470,412
| 2 | 470, 412 |
| 235, 206 |
∴ So the LCM of the given numbers is 2 x 235 x 206 = 96820
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/96820
Therefore, the GCF of Fractions 7689/470,5437/412 is 1/96820
Least Common Multiple of 470,412 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 470,412 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(470,412) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(470,412) x common factors =2 x 1 = 2
LCM(470,412) = ( 470 × 412 ) / 2
LCM(470,412) = 193640 / 2
LCM(470,412) = 96820
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FAQs on GCF of Fractions of 7689/470, 5437/412
1. What is the HCF of 7689,5437?
The HCF of 7689,5437 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 7689/470, 5437/412?
Answer: GCF of Numerators as per given numbers 7689/470, 5437/412 is
GCF of Numerators i.e. for 7689,5437 is 1
LCM of denominators i.e. for 470,412 is 96820.
Thus, GCF of Fractions is 1/96820.Finally, GCF of Fractions for 7689/470, 5437/412 is 1/96820.