GCF of 39/82, 760/39, 258/914
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 39/82, 760/39, 258/914 i.e 1/1461486 easily. The following is the detailed procedure to determine the greatest common factor of fractions 39/82, 760/39, 258/914.
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 39/82,760/39,258/914?
Given fractions are 39/82,760/39,258/914
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 39/82,760/39,258/914, numerators are 39,760,258
Denominators are 82,39,914
The GCF of 39,760,258 is 1 .
LCM of 82,39,914 is 1461486.
The greatest common factor of 39/82,760/39,258/914 = [GCF of 39,760,258]/[LCM of 82,39,914]= 1/1461486
Therefore, the GCF of 39/82,760/39,258/914 is 1/1461486.
To find the highest common factor of 39,760,258, we have to find the factors of both numbers and list the highest common factor.
The factors of 39 are 1, 3, 13, 39
The factors of 760 are 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
The factors of 258 are 1, 2, 3, 6, 43, 86, 129, 258
The HCF of 39,760,258 is 1.
Lets's calculate GCF of 39,760,258
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 39,760,258 By Matching Biggest Common Factor Method
Now, list down the factors of 39
:1,3,13,39
Now, list down the factors of 760
:1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760
Now, list down the factors of 258
:1,2,3,6,43,86,129,258
Greatest Common Factor
We found the factors 39,760,258 . The biggest common factor number is the GCF number.
So the greatest common factor 39,760,258 is 1.
Lets's calculate LCM of 82,39,914
| 2 | 82, 39, 914 |
| 41, 39, 457 |
∴ So the LCM of the given numbers is 2 x 41 x 39 x 457 = 1461486
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1461486
Therefore, the GCF of Fractions 39/82,760/39,258/914 is 1/1461486
Least Common Multiple of 82,39,914 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 82,39,914 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(82,39,914) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(82,39,914) x common factors =1 x 2 = 2
LCM(82,39,914) = ( 82 × 39 × 914 ) / 2
LCM(82,39,914) = 2922972 / 2
LCM(82,39,914) = 1461486
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FAQs on GCF of Fractions of 39/82, 760/39, 258/914
1. What is the HCF of 39,760,258?
The HCF of 39,760,258 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 39/82, 760/39, 258/914?
Answer: GCF of Numerators as per given numbers 39/82, 760/39, 258/914 is
GCF of Numerators i.e. for 39,760,258 is 1
LCM of denominators i.e. for 82,39,914 is 1461486.
Thus, GCF of Fractions is 1/1461486.Finally, GCF of Fractions for 39/82, 760/39, 258/914 is 1/1461486.