GCF of 6936/762, 5916/255
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6936/762, 5916/255 i.e 204/64770 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6936/762, 5916/255.
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 6936/762,5916/255?
Given fractions are 6936/762,5916/255
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 6936/762,5916/255, numerators are 6936,5916
Denominators are 762,255
The GCF of 6936,5916 is 204 .
LCM of 762,255 is 64770.
The greatest common factor of 6936/762,5916/255 = [GCF of 6936,5916]/[LCM of 762,255]= 204/64770
Therefore, the GCF of 6936/762,5916/255 is 204/64770.
To find the highest common factor of 6936,5916, we have to find the factors of both numbers and list the highest common factor.
The factors of 6936 are 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 289, 408, 578, 867, 1156, 1734, 2312, 3468, 6936
The factors of 5916 are 1, 2, 3, 4, 6, 12, 17, 29, 34, 51, 58, 68, 87, 102, 116, 174, 204, 348, 493, 986, 1479, 1972, 2958, 5916
The HCF of 6936,5916 is 204.
Lets's calculate GCF of 6936,5916
| 2 | 6936, 5916 |
| 2 | 3468, 2958 |
| 3 | 1734, 1479 |
| 17 | 578, 493 |
| 34, 29 |
∴ So the GCF of the given numbers is 2 x 2 x 3 x 17 = 204
Greatest Common Factor of 6936,5916 By Matching Biggest Common Factor Method
Now, list down the factors of 6936
:1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,289,408,578,867,1156,1734,2312,3468,6936
Now, list down the factors of 5916
:1,2,3,4,6,12,17,29,34,51,58,68,87,102,116,174,204,348,493,986,1479,1972,2958,5916
Greatest Common Factor
We found the factors 6936,5916 . The biggest common factor number is the GCF number.
So the greatest common factor 6936,5916 is 204.
Lets's calculate LCM of 762,255
| 3 | 762, 255 |
| 254, 85 |
∴ So the LCM of the given numbers is 3 x 254 x 85 = 64770
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 204/64770
Therefore, the GCF of Fractions 6936/762,5916/255 is 204/64770
Least Common Multiple of 762,255 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 762,255 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(762,255) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(762,255) x common factors =3 x 1 = 3
LCM(762,255) = ( 762 × 255 ) / 3
LCM(762,255) = 194310 / 3
LCM(762,255) = 64770
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FAQs on GCF of Fractions of 6936/762, 5916/255
1. What is the HCF of 6936,5916?
The HCF of 6936,5916 is 204
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 6936/762, 5916/255?
Answer: GCF of Numerators as per given numbers 6936/762, 5916/255 is
GCF of Numerators i.e. for 6936,5916 is 204
LCM of denominators i.e. for 762,255 is 64770.
Thus, GCF of Fractions is 204/64770.Finally, GCF of Fractions for 6936/762, 5916/255 is 204/64770.