GCF of 82/865, 60/775, 719/245
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 82/865, 60/775, 719/245 i.e 1/6569675 easily. The following is the detailed procedure to determine the greatest common factor of fractions 82/865, 60/775, 719/245.
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 82/865,60/775,719/245?
Given fractions are 82/865,60/775,719/245
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 82/865,60/775,719/245, numerators are 82,60,719
Denominators are 865,775,245
The GCF of 82,60,719 is 1 .
LCM of 865,775,245 is 6569675.
The greatest common factor of 82/865,60/775,719/245 = [GCF of 82,60,719]/[LCM of 865,775,245]= 1/6569675
Therefore, the GCF of 82/865,60/775,719/245 is 1/6569675.
To find the highest common factor of 82,60,719, we have to find the factors of both numbers and list the highest common factor.
The factors of 82 are 1, 2, 41, 82
The factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
The factors of 719 are 1, 719
The HCF of 82,60,719 is 1.
Lets's calculate GCF of 82,60,719
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 82,60,719 By Matching Biggest Common Factor Method
Now, list down the factors of 82
:1,2,41,82
Now, list down the factors of 60
:1,2,3,4,5,6,10,12,15,20,30,60
Now, list down the factors of 719
:1,719
Greatest Common Factor
We found the factors 82,60,719 . The biggest common factor number is the GCF number.
So the greatest common factor 82,60,719 is 1.
Lets's calculate LCM of 865,775,245
| 5 | 865, 775, 245 |
| 173, 155, 49 |
∴ So the LCM of the given numbers is 5 x 173 x 155 x 49 = 6569675
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6569675
Therefore, the GCF of Fractions 82/865,60/775,719/245 is 1/6569675
Least Common Multiple of 865,775,245 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 865,775,245 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(865,775,245) = 5
common factors(in case of two or more numbers have common factors) = 5
GCF(865,775,245) x common factors =5 x 5 = 25
LCM(865,775,245) = ( 865 × 775 × 245 ) / 25
LCM(865,775,245) = 164241875 / 25
LCM(865,775,245) = 6569675
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FAQs on GCF of Fractions of 82/865, 60/775, 719/245
1. What is the HCF of 82,60,719?
The HCF of 82,60,719 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 82/865, 60/775, 719/245?
Answer: GCF of Numerators as per given numbers 82/865, 60/775, 719/245 is
GCF of Numerators i.e. for 82,60,719 is 1
LCM of denominators i.e. for 865,775,245 is 6569675.
Thus, GCF of Fractions is 1/6569675.Finally, GCF of Fractions for 82/865, 60/775, 719/245 is 1/6569675.