GCF of 7815/942, 1175/982
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7815/942, 1175/982 i.e 5/462522 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7815/942, 1175/982.
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 7815/942,1175/982?
Given fractions are 7815/942,1175/982
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 7815/942,1175/982, numerators are 7815,1175
Denominators are 942,982
The GCF of 7815,1175 is 5 .
LCM of 942,982 is 462522.
The greatest common factor of 7815/942,1175/982 = [GCF of 7815,1175]/[LCM of 942,982]= 5/462522
Therefore, the GCF of 7815/942,1175/982 is 5/462522.
To find the highest common factor of 7815,1175, we have to find the factors of both numbers and list the highest common factor.
The factors of 7815 are 1, 3, 5, 15, 521, 1563, 2605, 7815
The factors of 1175 are 1, 5, 25, 47, 235, 1175
The HCF of 7815,1175 is 5.
Lets's calculate GCF of 7815,1175
| 5 | 7815, 1175 |
| 1563, 235 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 7815,1175 By Matching Biggest Common Factor Method
Now, list down the factors of 7815
:1,3,5,15,521,1563,2605,7815
Now, list down the factors of 1175
:1,5,25,47,235,1175
Greatest Common Factor
We found the factors 7815,1175 . The biggest common factor number is the GCF number.
So the greatest common factor 7815,1175 is 5.
Lets's calculate LCM of 942,982
| 2 | 942, 982 |
| 471, 491 |
∴ So the LCM of the given numbers is 2 x 471 x 491 = 462522
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/462522
Therefore, the GCF of Fractions 7815/942,1175/982 is 5/462522
Least Common Multiple of 942,982 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 942,982 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(942,982) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(942,982) x common factors =2 x 1 = 2
LCM(942,982) = ( 942 × 982 ) / 2
LCM(942,982) = 925044 / 2
LCM(942,982) = 462522
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FAQs on GCF of Fractions of 7815/942, 1175/982
1. What is the HCF of 7815,1175?
The HCF of 7815,1175 is 5
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 7815/942, 1175/982?
Answer: GCF of Numerators as per given numbers 7815/942, 1175/982 is
GCF of Numerators i.e. for 7815,1175 is 5
LCM of denominators i.e. for 942,982 is 462522.
Thus, GCF of Fractions is 5/462522.Finally, GCF of Fractions for 7815/942, 1175/982 is 5/462522.