GCF of 679/524, 6912/194
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 679/524, 6912/194 i.e 1/50828 easily. The following is the detailed procedure to determine the greatest common factor of fractions 679/524, 6912/194.
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 679/524,6912/194?
Given fractions are 679/524,6912/194
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 679/524,6912/194, numerators are 679,6912
Denominators are 524,194
The GCF of 679,6912 is 1 .
LCM of 524,194 is 50828.
The greatest common factor of 679/524,6912/194 = [GCF of 679,6912]/[LCM of 524,194]= 1/50828
Therefore, the GCF of 679/524,6912/194 is 1/50828.
To find the highest common factor of 679,6912, we have to find the factors of both numbers and list the highest common factor.
The factors of 679 are 1, 7, 97, 679
The factors of 6912 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 64, 72, 96, 108, 128, 144, 192, 216, 256, 288, 384, 432, 576, 768, 864, 1152, 1728, 2304, 3456, 6912
The HCF of 679,6912 is 1.
Lets's calculate GCF of 679,6912
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 679,6912 By Matching Biggest Common Factor Method
Now, list down the factors of 679
:1,7,97,679
Now, list down the factors of 6912
:1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,64,72,96,108,128,144,192,216,256,288,384,432,576,768,864,1152,1728,2304,3456,6912
Greatest Common Factor
We found the factors 679,6912 . The biggest common factor number is the GCF number.
So the greatest common factor 679,6912 is 1.
Lets's calculate LCM of 524,194
| 2 | 524, 194 |
| 262, 97 |
∴ So the LCM of the given numbers is 2 x 262 x 97 = 50828
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/50828
Therefore, the GCF of Fractions 679/524,6912/194 is 1/50828
Least Common Multiple of 524,194 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 524,194 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(524,194) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(524,194) x common factors =2 x 1 = 2
LCM(524,194) = ( 524 × 194 ) / 2
LCM(524,194) = 101656 / 2
LCM(524,194) = 50828
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FAQs on GCF of Fractions of 679/524, 6912/194
1. What is the HCF of 679,6912?
The HCF of 679,6912 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 679/524, 6912/194?
Answer: GCF of Numerators as per given numbers 679/524, 6912/194 is
GCF of Numerators i.e. for 679,6912 is 1
LCM of denominators i.e. for 524,194 is 50828.
Thus, GCF of Fractions is 1/50828.Finally, GCF of Fractions for 679/524, 6912/194 is 1/50828.