GCF of 2909/12, 4967/212
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2909/12, 4967/212 i.e 1/636 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2909/12, 4967/212.
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 2909/12,4967/212?
Given fractions are 2909/12,4967/212
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 2909/12,4967/212, numerators are 2909,4967
Denominators are 12,212
The GCF of 2909,4967 is 1 .
LCM of 12,212 is 636.
The greatest common factor of 2909/12,4967/212 = [GCF of 2909,4967]/[LCM of 12,212]= 1/636
Therefore, the GCF of 2909/12,4967/212 is 1/636.
To find the highest common factor of 2909,4967, we have to find the factors of both numbers and list the highest common factor.
The factors of 2909 are 1, 2909
The factors of 4967 are 1, 4967
The HCF of 2909,4967 is 1.
Lets's calculate GCF of 2909,4967
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2909,4967 By Matching Biggest Common Factor Method
Now, list down the factors of 2909
:1,2909
Now, list down the factors of 4967
:1,4967
Greatest Common Factor
We found the factors 2909,4967 . The biggest common factor number is the GCF number.
So the greatest common factor 2909,4967 is 1.
Lets's calculate LCM of 12,212
| 2 | 12, 212 |
| 2 | 6, 106 |
| 3, 53 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 53 = 636
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/636
Therefore, the GCF of Fractions 2909/12,4967/212 is 1/636
Least Common Multiple of 12,212 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 12,212 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(12,212) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(12,212) x common factors =4 x 1 = 4
LCM(12,212) = ( 12 × 212 ) / 4
LCM(12,212) = 2544 / 4
LCM(12,212) = 636
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FAQs on GCF of Fractions of 2909/12, 4967/212
1. What is the HCF of 2909,4967?
The HCF of 2909,4967 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 2909/12, 4967/212?
Answer: GCF of Numerators as per given numbers 2909/12, 4967/212 is
GCF of Numerators i.e. for 2909,4967 is 1
LCM of denominators i.e. for 12,212 is 636.
Thus, GCF of Fractions is 1/636.Finally, GCF of Fractions for 2909/12, 4967/212 is 1/636.