GCF of 146/323, 870/153, 938/944
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 146/323, 870/153, 938/944 i.e 2/2744208 easily. The following is the detailed procedure to determine the greatest common factor of fractions 146/323, 870/153, 938/944.
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 146/323,870/153,938/944?
Given fractions are 146/323,870/153,938/944
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 146/323,870/153,938/944, numerators are 146,870,938
Denominators are 323,153,944
The GCF of 146,870,938 is 2 .
LCM of 323,153,944 is 2744208.
The greatest common factor of 146/323,870/153,938/944 = [GCF of 146,870,938]/[LCM of 323,153,944]= 2/2744208
Therefore, the GCF of 146/323,870/153,938/944 is 2/2744208.
To find the highest common factor of 146,870,938, we have to find the factors of both numbers and list the highest common factor.
The factors of 146 are 1, 2, 73, 146
The factors of 870 are 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
The factors of 938 are 1, 2, 7, 14, 67, 134, 469, 938
The HCF of 146,870,938 is 2.
Lets's calculate GCF of 146,870,938
| 2 | 146, 870, 938 |
| 73, 435, 469 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 146,870,938 By Matching Biggest Common Factor Method
Now, list down the factors of 146
:1,2,73,146
Now, list down the factors of 870
:1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870
Now, list down the factors of 938
:1,2,7,14,67,134,469,938
Greatest Common Factor
We found the factors 146,870,938 . The biggest common factor number is the GCF number.
So the greatest common factor 146,870,938 is 2.
Lets's calculate LCM of 323,153,944
| 17 | 323, 153, 944 |
| 19, 9, 944 |
∴ So the LCM of the given numbers is 17 x 19 x 9 x 944 = 2744208
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2744208
Therefore, the GCF of Fractions 146/323,870/153,938/944 is 2/2744208
Least Common Multiple of 323,153,944 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 323,153,944 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(323,153,944) = 1
common factors(in case of two or more numbers have common factors) = 17
GCF(323,153,944) x common factors =1 x 17 = 17
LCM(323,153,944) = ( 323 × 153 × 944 ) / 17
LCM(323,153,944) = 46651536 / 17
LCM(323,153,944) = 2744208
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FAQs on GCF of Fractions of 146/323, 870/153, 938/944
1. What is the HCF of 146,870,938?
The HCF of 146,870,938 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 146/323, 870/153, 938/944?
Answer: GCF of Numerators as per given numbers 146/323, 870/153, 938/944 is
GCF of Numerators i.e. for 146,870,938 is 2
LCM of denominators i.e. for 323,153,944 is 2744208.
Thus, GCF of Fractions is 2/2744208.Finally, GCF of Fractions for 146/323, 870/153, 938/944 is 2/2744208.