GCF of 753/234, 770/462, 938/155
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 753/234, 770/462, 938/155 i.e 1/2792790 easily. The following is the detailed procedure to determine the greatest common factor of fractions 753/234, 770/462, 938/155.
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 753/234,770/462,938/155?
Given fractions are 753/234,770/462,938/155
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 753/234,770/462,938/155, numerators are 753,770,938
Denominators are 234,462,155
The GCF of 753,770,938 is 1 .
LCM of 234,462,155 is 2792790.
The greatest common factor of 753/234,770/462,938/155 = [GCF of 753,770,938]/[LCM of 234,462,155]= 1/2792790
Therefore, the GCF of 753/234,770/462,938/155 is 1/2792790.
To find the highest common factor of 753,770,938, we have to find the factors of both numbers and list the highest common factor.
The factors of 753 are 1, 3, 251, 753
The factors of 770 are 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
The factors of 938 are 1, 2, 7, 14, 67, 134, 469, 938
The HCF of 753,770,938 is 1.
Lets's calculate GCF of 753,770,938
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 753,770,938 By Matching Biggest Common Factor Method
Now, list down the factors of 753
:1,3,251,753
Now, list down the factors of 770
:1,2,5,7,10,11,14,22,35,55,70,77,110,154,385,770
Now, list down the factors of 938
:1,2,7,14,67,134,469,938
Greatest Common Factor
We found the factors 753,770,938 . The biggest common factor number is the GCF number.
So the greatest common factor 753,770,938 is 1.
Lets's calculate LCM of 234,462,155
| 2 | 234, 462, 155 |
| 3 | 117, 231, 155 |
| 39, 77, 155 |
∴ So the LCM of the given numbers is 2 x 3 x 39 x 77 x 155 = 2792790
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2792790
Therefore, the GCF of Fractions 753/234,770/462,938/155 is 1/2792790
Least Common Multiple of 234,462,155 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 234,462,155 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(234,462,155) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(234,462,155) x common factors =1 x 6 = 6
LCM(234,462,155) = ( 234 × 462 × 155 ) / 6
LCM(234,462,155) = 16756740 / 6
LCM(234,462,155) = 2792790
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 753/234, 770/462, 938/155
1. What is the HCF of 753,770,938?
The HCF of 753,770,938 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 753/234, 770/462, 938/155?
Answer: GCF of Numerators as per given numbers 753/234, 770/462, 938/155 is
GCF of Numerators i.e. for 753,770,938 is 1
LCM of denominators i.e. for 234,462,155 is 2792790.
Thus, GCF of Fractions is 1/2792790.Finally, GCF of Fractions for 753/234, 770/462, 938/155 is 1/2792790.