GCF of 8/25, 82/72, 68/695, 622/525
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8/25, 82/72, 68/695, 622/525 i.e 2/1751400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8/25, 82/72, 68/695, 622/525.
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 8/25,82/72,68/695,622/525?
Given fractions are 8/25,82/72,68/695,622/525
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 8/25,82/72,68/695,622/525, numerators are 8,82,68,622
Denominators are 25,72,695,525
The GCF of 8,82,68,622 is 2 .
LCM of 25,72,695,525 is 1751400.
The greatest common factor of 8/25,82/72,68/695,622/525 = [GCF of 8,82,68,622]/[LCM of 25,72,695,525]= 2/1751400
Therefore, the GCF of 8/25,82/72,68/695,622/525 is 2/1751400.
To find the highest common factor of 8,82,68,622, we have to find the factors of both numbers and list the highest common factor.
The factors of 8 are 1, 2, 4, 8
The factors of 82 are 1, 2, 41, 82
The factors of 68 are 1, 2, 4, 17, 34, 68
The factors of 622 are 1, 2, 311, 622
The HCF of 8,82,68,622 is 2.
Lets's calculate GCF of 8,82,68,622
| 2 | 8, 82, 68, 622 |
| 4, 41, 34, 311 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8,82,68,622 By Matching Biggest Common Factor Method
Now, list down the factors of 8
:1,2,4,8
Now, list down the factors of 82
:1,2,41,82
Now, list down the factors of 68
:1,2,4,17,34,68
Now, list down the factors of 622
:1,2,311,622
Greatest Common Factor
We found the factors 8,82,68,622 . The biggest common factor number is the GCF number.
So the greatest common factor 8,82,68,622 is 2.
Lets's calculate LCM of 25,72,695,525
| 3 | 25, 72, 695, 525 |
| 5 | 25, 24, 695, 175 |
| 5 | 5, 24, 139, 35 |
| 1, 24, 139, 7 |
∴ So the LCM of the given numbers is 3 x 5 x 5 x 1 x 24 x 139 x 7 = 1751400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1751400
Therefore, the GCF of Fractions 8/25,82/72,68/695,622/525 is 2/1751400
Least Common Multiple of 25,72,695,525 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 25,72,695,525 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(25,72,695,525) = 1
common factors(in case of two or more numbers have common factors) = 375
GCF(25,72,695,525) x common factors =1 x 375 = 375
LCM(25,72,695,525) = ( 25 × 72 × 695 × 525 ) / 375
LCM(25,72,695,525) = 656775000 / 375
LCM(25,72,695,525) = 1751400
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 8/25, 82/72, 68/695, 622/525
1. What is the HCF of 8,82,68,622?
The HCF of 8,82,68,622 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 8/25, 82/72, 68/695, 622/525?
Answer: GCF of Numerators as per given numbers 8/25, 82/72, 68/695, 622/525 is
GCF of Numerators i.e. for 8,82,68,622 is 2
LCM of denominators i.e. for 25,72,695,525 is 1751400.
Thus, GCF of Fractions is 2/1751400.Finally, GCF of Fractions for 8/25, 82/72, 68/695, 622/525 is 2/1751400.