GCF of 2/85, 85/40, 73/255, 745/526
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2/85, 85/40, 73/255, 745/526 i.e 1/536520 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2/85, 85/40, 73/255, 745/526.
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 2/85,85/40,73/255,745/526?
Given fractions are 2/85,85/40,73/255,745/526
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 2/85,85/40,73/255,745/526, numerators are 2,85,73,745
Denominators are 85,40,255,526
The GCF of 2,85,73,745 is 1 .
LCM of 85,40,255,526 is 536520.
The greatest common factor of 2/85,85/40,73/255,745/526 = [GCF of 2,85,73,745]/[LCM of 85,40,255,526]= 1/536520
Therefore, the GCF of 2/85,85/40,73/255,745/526 is 1/536520.
To find the highest common factor of 2,85,73,745, we have to find the factors of both numbers and list the highest common factor.
The factors of 2 are 1, 2
The factors of 85 are 1, 5, 17, 85
The factors of 73 are 1, 73
The factors of 745 are 1, 5, 149, 745
The HCF of 2,85,73,745 is 1.
Lets's calculate GCF of 2,85,73,745
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2,85,73,745 By Matching Biggest Common Factor Method
Now, list down the factors of 2
:1,2
Now, list down the factors of 85
:1,5,17,85
Now, list down the factors of 73
:1,73
Now, list down the factors of 745
:1,5,149,745
Greatest Common Factor
We found the factors 2,85,73,745 . The biggest common factor number is the GCF number.
So the greatest common factor 2,85,73,745 is 1.
Lets's calculate LCM of 85,40,255,526
| 2 | 85, 40, 255, 526 |
| 5 | 85, 20, 255, 263 |
| 17 | 17, 4, 51, 263 |
| 1, 4, 3, 263 |
∴ So the LCM of the given numbers is 2 x 5 x 17 x 1 x 4 x 3 x 263 = 536520
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/536520
Therefore, the GCF of Fractions 2/85,85/40,73/255,745/526 is 1/536520
Least Common Multiple of 85,40,255,526 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 85,40,255,526 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(85,40,255,526) = 1
common factors(in case of two or more numbers have common factors) = 850
GCF(85,40,255,526) x common factors =1 x 850 = 850
LCM(85,40,255,526) = ( 85 × 40 × 255 × 526 ) / 850
LCM(85,40,255,526) = 456042000 / 850
LCM(85,40,255,526) = 536520
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FAQs on GCF of Fractions of 2/85, 85/40, 73/255, 745/526
1. What is the HCF of 2,85,73,745?
The HCF of 2,85,73,745 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 2/85, 85/40, 73/255, 745/526?
Answer: GCF of Numerators as per given numbers 2/85, 85/40, 73/255, 745/526 is
GCF of Numerators i.e. for 2,85,73,745 is 1
LCM of denominators i.e. for 85,40,255,526 is 536520.
Thus, GCF of Fractions is 1/536520.Finally, GCF of Fractions for 2/85, 85/40, 73/255, 745/526 is 1/536520.