GCF of 2146/942, 7178/718
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2146/942, 7178/718 i.e 74/338178 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2146/942, 7178/718.
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 2146/942,7178/718?
Given fractions are 2146/942,7178/718
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 2146/942,7178/718, numerators are 2146,7178
Denominators are 942,718
The GCF of 2146,7178 is 74 .
LCM of 942,718 is 338178.
The greatest common factor of 2146/942,7178/718 = [GCF of 2146,7178]/[LCM of 942,718]= 74/338178
Therefore, the GCF of 2146/942,7178/718 is 74/338178.
To find the highest common factor of 2146,7178, we have to find the factors of both numbers and list the highest common factor.
The factors of 2146 are 1, 2, 29, 37, 58, 74, 1073, 2146
The factors of 7178 are 1, 2, 37, 74, 97, 194, 3589, 7178
The HCF of 2146,7178 is 74.
Lets's calculate GCF of 2146,7178
| 2 | 2146, 7178 |
| 37 | 1073, 3589 |
| 29, 97 |
∴ So the GCF of the given numbers is 2 x 37 = 74
Greatest Common Factor of 2146,7178 By Matching Biggest Common Factor Method
Now, list down the factors of 2146
:1,2,29,37,58,74,1073,2146
Now, list down the factors of 7178
:1,2,37,74,97,194,3589,7178
Greatest Common Factor
We found the factors 2146,7178 . The biggest common factor number is the GCF number.
So the greatest common factor 2146,7178 is 74.
Lets's calculate LCM of 942,718
| 2 | 942, 718 |
| 471, 359 |
∴ So the LCM of the given numbers is 2 x 471 x 359 = 338178
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 74/338178
Therefore, the GCF of Fractions 2146/942,7178/718 is 74/338178
Least Common Multiple of 942,718 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 942,718 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(942,718) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(942,718) x common factors =2 x 1 = 2
LCM(942,718) = ( 942 × 718 ) / 2
LCM(942,718) = 676356 / 2
LCM(942,718) = 338178
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FAQs on GCF of Fractions of 2146/942, 7178/718
1. What is the HCF of 2146,7178?
The HCF of 2146,7178 is 74
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 2146/942, 7178/718?
Answer: GCF of Numerators as per given numbers 2146/942, 7178/718 is
GCF of Numerators i.e. for 2146,7178 is 74
LCM of denominators i.e. for 942,718 is 338178.
Thus, GCF of Fractions is 74/338178.Finally, GCF of Fractions for 2146/942, 7178/718 is 74/338178.