GCF of 5269/609, 8420/6706
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5269/609, 8420/6706 i.e 1/583422 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5269/609, 8420/6706.
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 5269/609,8420/6706?
Given fractions are 5269/609,8420/6706
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 5269/609,8420/6706, numerators are 5269,8420
Denominators are 609,6706
The GCF of 5269,8420 is 1 .
LCM of 609,6706 is 583422.
The greatest common factor of 5269/609,8420/6706 = [GCF of 5269,8420]/[LCM of 609,6706]= 1/583422
Therefore, the GCF of 5269/609,8420/6706 is 1/583422.
To find the highest common factor of 5269,8420, we have to find the factors of both numbers and list the highest common factor.
The factors of 5269 are 1, 11, 479, 5269
The factors of 8420 are 1, 2, 4, 5, 10, 20, 421, 842, 1684, 2105, 4210, 8420
The HCF of 5269,8420 is 1.
Lets's calculate GCF of 5269,8420
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5269,8420 By Matching Biggest Common Factor Method
Now, list down the factors of 5269
:1,11,479,5269
Now, list down the factors of 8420
:1,2,4,5,10,20,421,842,1684,2105,4210,8420
Greatest Common Factor
We found the factors 5269,8420 . The biggest common factor number is the GCF number.
So the greatest common factor 5269,8420 is 1.
Lets's calculate LCM of 609,6706
| 7 | 609, 6706 |
| 87, 958 |
∴ So the LCM of the given numbers is 7 x 87 x 958 = 583422
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/583422
Therefore, the GCF of Fractions 5269/609,8420/6706 is 1/583422
Least Common Multiple of 609,6706 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 609,6706 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(609,6706) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(609,6706) x common factors =7 x 1 = 7
LCM(609,6706) = ( 609 × 6706 ) / 7
LCM(609,6706) = 4083954 / 7
LCM(609,6706) = 583422
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FAQs on GCF of Fractions of 5269/609, 8420/6706
1. What is the HCF of 5269,8420?
The HCF of 5269,8420 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 5269/609, 8420/6706?
Answer: GCF of Numerators as per given numbers 5269/609, 8420/6706 is
GCF of Numerators i.e. for 5269,8420 is 1
LCM of denominators i.e. for 609,6706 is 583422.
Thus, GCF of Fractions is 1/583422.Finally, GCF of Fractions for 5269/609, 8420/6706 is 1/583422.