GCF of 9679/212, 5012/512
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9679/212, 5012/512 i.e 1/27136 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9679/212, 5012/512.
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 9679/212,5012/512?
Given fractions are 9679/212,5012/512
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 9679/212,5012/512, numerators are 9679,5012
Denominators are 212,512
The GCF of 9679,5012 is 1 .
LCM of 212,512 is 27136.
The greatest common factor of 9679/212,5012/512 = [GCF of 9679,5012]/[LCM of 212,512]= 1/27136
Therefore, the GCF of 9679/212,5012/512 is 1/27136.
To find the highest common factor of 9679,5012, we have to find the factors of both numbers and list the highest common factor.
The factors of 9679 are 1, 9679
The factors of 5012 are 1, 2, 4, 7, 14, 28, 179, 358, 716, 1253, 2506, 5012
The HCF of 9679,5012 is 1.
Lets's calculate GCF of 9679,5012
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9679,5012 By Matching Biggest Common Factor Method
Now, list down the factors of 9679
:1,9679
Now, list down the factors of 5012
:1,2,4,7,14,28,179,358,716,1253,2506,5012
Greatest Common Factor
We found the factors 9679,5012 . The biggest common factor number is the GCF number.
So the greatest common factor 9679,5012 is 1.
Lets's calculate LCM of 212,512
| 2 | 212, 512 |
| 2 | 106, 256 |
| 53, 128 |
∴ So the LCM of the given numbers is 2 x 2 x 53 x 128 = 27136
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/27136
Therefore, the GCF of Fractions 9679/212,5012/512 is 1/27136
Least Common Multiple of 212,512 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 212,512 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(212,512) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(212,512) x common factors =4 x 1 = 4
LCM(212,512) = ( 212 × 512 ) / 4
LCM(212,512) = 108544 / 4
LCM(212,512) = 27136
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FAQs on GCF of Fractions of 9679/212, 5012/512
1. What is the HCF of 9679,5012?
The HCF of 9679,5012 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 9679/212, 5012/512?
Answer: GCF of Numerators as per given numbers 9679/212, 5012/512 is
GCF of Numerators i.e. for 9679,5012 is 1
LCM of denominators i.e. for 212,512 is 27136.
Thus, GCF of Fractions is 1/27136.Finally, GCF of Fractions for 9679/212, 5012/512 is 1/27136.