GCF of 7847/178, 1673/6508
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7847/178, 1673/6508 i.e 7/579212 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7847/178, 1673/6508.
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 7847/178,1673/6508?
Given fractions are 7847/178,1673/6508
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 7847/178,1673/6508, numerators are 7847,1673
Denominators are 178,6508
The GCF of 7847,1673 is 7 .
LCM of 178,6508 is 579212.
The greatest common factor of 7847/178,1673/6508 = [GCF of 7847,1673]/[LCM of 178,6508]= 7/579212
Therefore, the GCF of 7847/178,1673/6508 is 7/579212.
To find the highest common factor of 7847,1673, we have to find the factors of both numbers and list the highest common factor.
The factors of 7847 are 1, 7, 19, 59, 133, 413, 1121, 7847
The factors of 1673 are 1, 7, 239, 1673
The HCF of 7847,1673 is 7.
Lets's calculate GCF of 7847,1673
| 7 | 7847, 1673 |
| 1121, 239 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 7847,1673 By Matching Biggest Common Factor Method
Now, list down the factors of 7847
:1,7,19,59,133,413,1121,7847
Now, list down the factors of 1673
:1,7,239,1673
Greatest Common Factor
We found the factors 7847,1673 . The biggest common factor number is the GCF number.
So the greatest common factor 7847,1673 is 7.
Lets's calculate LCM of 178,6508
| 2 | 178, 6508 |
| 89, 3254 |
∴ So the LCM of the given numbers is 2 x 89 x 3254 = 579212
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/579212
Therefore, the GCF of Fractions 7847/178,1673/6508 is 7/579212
Least Common Multiple of 178,6508 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 178,6508 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(178,6508) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(178,6508) x common factors =2 x 1 = 2
LCM(178,6508) = ( 178 × 6508 ) / 2
LCM(178,6508) = 1158424 / 2
LCM(178,6508) = 579212
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FAQs on GCF of Fractions of 7847/178, 1673/6508
1. What is the HCF of 7847,1673?
The HCF of 7847,1673 is 7
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 7847/178, 1673/6508?
Answer: GCF of Numerators as per given numbers 7847/178, 1673/6508 is
GCF of Numerators i.e. for 7847,1673 is 7
LCM of denominators i.e. for 178,6508 is 579212.
Thus, GCF of Fractions is 7/579212.Finally, GCF of Fractions for 7847/178, 1673/6508 is 7/579212.