GCF of 754/768, 272/740, 388/540
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 754/768, 272/740, 388/540 i.e 2/1278720 easily. The following is the detailed procedure to determine the greatest common factor of fractions 754/768, 272/740, 388/540.
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 754/768,272/740,388/540?
Given fractions are 754/768,272/740,388/540
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 754/768,272/740,388/540, numerators are 754,272,388
Denominators are 768,740,540
The GCF of 754,272,388 is 2 .
LCM of 768,740,540 is 1278720.
The greatest common factor of 754/768,272/740,388/540 = [GCF of 754,272,388]/[LCM of 768,740,540]= 2/1278720
Therefore, the GCF of 754/768,272/740,388/540 is 2/1278720.
To find the highest common factor of 754,272,388, we have to find the factors of both numbers and list the highest common factor.
The factors of 754 are 1, 2, 13, 26, 29, 58, 377, 754
The factors of 272 are 1, 2, 4, 8, 16, 17, 34, 68, 136, 272
The factors of 388 are 1, 2, 4, 97, 194, 388
The HCF of 754,272,388 is 2.
Lets's calculate GCF of 754,272,388
| 2 | 754, 272, 388 |
| 377, 136, 194 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 754,272,388 By Matching Biggest Common Factor Method
Now, list down the factors of 754
:1,2,13,26,29,58,377,754
Now, list down the factors of 272
:1,2,4,8,16,17,34,68,136,272
Now, list down the factors of 388
:1,2,4,97,194,388
Greatest Common Factor
We found the factors 754,272,388 . The biggest common factor number is the GCF number.
So the greatest common factor 754,272,388 is 2.
Lets's calculate LCM of 768,740,540
| 2 | 768, 740, 540 |
| 2 | 384, 370, 270 |
| 3 | 192, 185, 135 |
| 5 | 64, 185, 45 |
| 64, 37, 9 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 64 x 37 x 9 = 1278720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1278720
Therefore, the GCF of Fractions 754/768,272/740,388/540 is 2/1278720
Least Common Multiple of 768,740,540 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 768,740,540 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(768,740,540) = 4
common factors(in case of two or more numbers have common factors) = 60
GCF(768,740,540) x common factors =4 x 60 = 240
LCM(768,740,540) = ( 768 × 740 × 540 ) / 240
LCM(768,740,540) = 306892800 / 240
LCM(768,740,540) = 1278720
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FAQs on GCF of Fractions of 754/768, 272/740, 388/540
1. What is the HCF of 754,272,388?
The HCF of 754,272,388 is 2
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 754/768, 272/740, 388/540?
Answer: GCF of Numerators as per given numbers 754/768, 272/740, 388/540 is
GCF of Numerators i.e. for 754,272,388 is 2
LCM of denominators i.e. for 768,740,540 is 1278720.
Thus, GCF of Fractions is 2/1278720.Finally, GCF of Fractions for 754/768, 272/740, 388/540 is 2/1278720.