GCF of 8482/978, 6125/8210
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8482/978, 6125/8210 i.e 1/4014690 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8482/978, 6125/8210.
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 8482/978,6125/8210?
Given fractions are 8482/978,6125/8210
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 8482/978,6125/8210, numerators are 8482,6125
Denominators are 978,8210
The GCF of 8482,6125 is 1 .
LCM of 978,8210 is 4014690.
The greatest common factor of 8482/978,6125/8210 = [GCF of 8482,6125]/[LCM of 978,8210]= 1/4014690
Therefore, the GCF of 8482/978,6125/8210 is 1/4014690.
To find the highest common factor of 8482,6125, we have to find the factors of both numbers and list the highest common factor.
The factors of 8482 are 1, 2, 4241, 8482
The factors of 6125 are 1, 5, 7, 25, 35, 49, 125, 175, 245, 875, 1225, 6125
The HCF of 8482,6125 is 1.
Lets's calculate GCF of 8482,6125
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8482,6125 By Matching Biggest Common Factor Method
Now, list down the factors of 8482
:1,2,4241,8482
Now, list down the factors of 6125
:1,5,7,25,35,49,125,175,245,875,1225,6125
Greatest Common Factor
We found the factors 8482,6125 . The biggest common factor number is the GCF number.
So the greatest common factor 8482,6125 is 1.
Lets's calculate LCM of 978,8210
| 2 | 978, 8210 |
| 489, 4105 |
∴ So the LCM of the given numbers is 2 x 489 x 4105 = 4014690
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4014690
Therefore, the GCF of Fractions 8482/978,6125/8210 is 1/4014690
Least Common Multiple of 978,8210 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 978,8210 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(978,8210) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(978,8210) x common factors =2 x 1 = 2
LCM(978,8210) = ( 978 × 8210 ) / 2
LCM(978,8210) = 8029380 / 2
LCM(978,8210) = 4014690
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FAQs on GCF of Fractions of 8482/978, 6125/8210
1. What is the HCF of 8482,6125?
The HCF of 8482,6125 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 8482/978, 6125/8210?
Answer: GCF of Numerators as per given numbers 8482/978, 6125/8210 is
GCF of Numerators i.e. for 8482,6125 is 1
LCM of denominators i.e. for 978,8210 is 4014690.
Thus, GCF of Fractions is 1/4014690.Finally, GCF of Fractions for 8482/978, 6125/8210 is 1/4014690.