GCF of 3292/609, 9678/5667
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3292/609, 9678/5667 i.e 2/1150401 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3292/609, 9678/5667.
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 3292/609,9678/5667?
Given fractions are 3292/609,9678/5667
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 3292/609,9678/5667, numerators are 3292,9678
Denominators are 609,5667
The GCF of 3292,9678 is 2 .
LCM of 609,5667 is 1150401.
The greatest common factor of 3292/609,9678/5667 = [GCF of 3292,9678]/[LCM of 609,5667]= 2/1150401
Therefore, the GCF of 3292/609,9678/5667 is 2/1150401.
To find the highest common factor of 3292,9678, we have to find the factors of both numbers and list the highest common factor.
The factors of 3292 are 1, 2, 4, 823, 1646, 3292
The factors of 9678 are 1, 2, 3, 6, 1613, 3226, 4839, 9678
The HCF of 3292,9678 is 2.
Lets's calculate GCF of 3292,9678
| 2 | 3292, 9678 |
| 1646, 4839 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3292,9678 By Matching Biggest Common Factor Method
Now, list down the factors of 3292
:1,2,4,823,1646,3292
Now, list down the factors of 9678
:1,2,3,6,1613,3226,4839,9678
Greatest Common Factor
We found the factors 3292,9678 . The biggest common factor number is the GCF number.
So the greatest common factor 3292,9678 is 2.
Lets's calculate LCM of 609,5667
| 3 | 609, 5667 |
| 203, 1889 |
∴ So the LCM of the given numbers is 3 x 203 x 1889 = 1150401
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1150401
Therefore, the GCF of Fractions 3292/609,9678/5667 is 2/1150401
Least Common Multiple of 609,5667 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 609,5667 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(609,5667) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(609,5667) x common factors =3 x 1 = 3
LCM(609,5667) = ( 609 × 5667 ) / 3
LCM(609,5667) = 3451203 / 3
LCM(609,5667) = 1150401
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FAQs on GCF of Fractions of 3292/609, 9678/5667
1. What is the HCF of 3292,9678?
The HCF of 3292,9678 is 2
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 3292/609, 9678/5667?
Answer: GCF of Numerators as per given numbers 3292/609, 9678/5667 is
GCF of Numerators i.e. for 3292,9678 is 2
LCM of denominators i.e. for 609,5667 is 1150401.
Thus, GCF of Fractions is 2/1150401.Finally, GCF of Fractions for 3292/609, 9678/5667 is 2/1150401.