GCF of 82/805, 708/405, 790/762
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 82/805, 708/405, 790/762 i.e 2/16562070 easily. The following is the detailed procedure to determine the greatest common factor of fractions 82/805, 708/405, 790/762.
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 82/805,708/405,790/762?
Given fractions are 82/805,708/405,790/762
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 82/805,708/405,790/762, numerators are 82,708,790
Denominators are 805,405,762
The GCF of 82,708,790 is 2 .
LCM of 805,405,762 is 16562070.
The greatest common factor of 82/805,708/405,790/762 = [GCF of 82,708,790]/[LCM of 805,405,762]= 2/16562070
Therefore, the GCF of 82/805,708/405,790/762 is 2/16562070.
To find the highest common factor of 82,708,790, 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 708 are 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
The factors of 790 are 1, 2, 5, 10, 79, 158, 395, 790
The HCF of 82,708,790 is 2.
Lets's calculate GCF of 82,708,790
| 2 | 82, 708, 790 |
| 41, 354, 395 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 82,708,790 By Matching Biggest Common Factor Method
Now, list down the factors of 82
:1,2,41,82
Now, list down the factors of 708
:1,2,3,4,6,12,59,118,177,236,354,708
Now, list down the factors of 790
:1,2,5,10,79,158,395,790
Greatest Common Factor
We found the factors 82,708,790 . The biggest common factor number is the GCF number.
So the greatest common factor 82,708,790 is 2.
Lets's calculate LCM of 805,405,762
| 3 | 805, 405, 762 |
| 5 | 805, 135, 254 |
| 161, 27, 254 |
∴ So the LCM of the given numbers is 3 x 5 x 161 x 27 x 254 = 16562070
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/16562070
Therefore, the GCF of Fractions 82/805,708/405,790/762 is 2/16562070
Least Common Multiple of 805,405,762 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 805,405,762 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(805,405,762) = 1
common factors(in case of two or more numbers have common factors) = 15
GCF(805,405,762) x common factors =1 x 15 = 15
LCM(805,405,762) = ( 805 × 405 × 762 ) / 15
LCM(805,405,762) = 248431050 / 15
LCM(805,405,762) = 16562070
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FAQs on GCF of Fractions of 82/805, 708/405, 790/762
1. What is the HCF of 82,708,790?
The HCF of 82,708,790 is 2
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 82/805, 708/405, 790/762?
Answer: GCF of Numerators as per given numbers 82/805, 708/405, 790/762 is
GCF of Numerators i.e. for 82,708,790 is 2
LCM of denominators i.e. for 805,405,762 is 16562070.
Thus, GCF of Fractions is 2/16562070.Finally, GCF of Fractions for 82/805, 708/405, 790/762 is 2/16562070.