GCF of 757/388, 197/264, 108/742
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 757/388, 197/264, 108/742 i.e 1/9500568 easily. The following is the detailed procedure to determine the greatest common factor of fractions 757/388, 197/264, 108/742.
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 757/388,197/264,108/742?
Given fractions are 757/388,197/264,108/742
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 757/388,197/264,108/742, numerators are 757,197,108
Denominators are 388,264,742
The GCF of 757,197,108 is 1 .
LCM of 388,264,742 is 9500568.
The greatest common factor of 757/388,197/264,108/742 = [GCF of 757,197,108]/[LCM of 388,264,742]= 1/9500568
Therefore, the GCF of 757/388,197/264,108/742 is 1/9500568.
To find the highest common factor of 757,197,108, we have to find the factors of both numbers and list the highest common factor.
The factors of 757 are 1, 757
The factors of 197 are 1, 197
The factors of 108 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
The HCF of 757,197,108 is 1.
Lets's calculate GCF of 757,197,108
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 757,197,108 By Matching Biggest Common Factor Method
Now, list down the factors of 757
:1,757
Now, list down the factors of 197
:1,197
Now, list down the factors of 108
:1,2,3,4,6,9,12,18,27,36,54,108
Greatest Common Factor
We found the factors 757,197,108 . The biggest common factor number is the GCF number.
So the greatest common factor 757,197,108 is 1.
Lets's calculate LCM of 388,264,742
| 2 | 388, 264, 742 |
| 2 | 194, 132, 371 |
| 97, 66, 371 |
∴ So the LCM of the given numbers is 2 x 2 x 97 x 66 x 371 = 9500568
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9500568
Therefore, the GCF of Fractions 757/388,197/264,108/742 is 1/9500568
Least Common Multiple of 388,264,742 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 388,264,742 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(388,264,742) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(388,264,742) x common factors =2 x 4 = 8
LCM(388,264,742) = ( 388 × 264 × 742 ) / 8
LCM(388,264,742) = 76004544 / 8
LCM(388,264,742) = 9500568
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FAQs on GCF of Fractions of 757/388, 197/264, 108/742
1. What is the HCF of 757,197,108?
The HCF of 757,197,108 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 757/388, 197/264, 108/742?
Answer: GCF of Numerators as per given numbers 757/388, 197/264, 108/742 is
GCF of Numerators i.e. for 757,197,108 is 1
LCM of denominators i.e. for 388,264,742 is 9500568.
Thus, GCF of Fractions is 1/9500568.Finally, GCF of Fractions for 757/388, 197/264, 108/742 is 1/9500568.