GCF of 56/25, 850/57, 305/747
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 56/25, 850/57, 305/747 i.e 1/354825 easily. The following is the detailed procedure to determine the greatest common factor of fractions 56/25, 850/57, 305/747.
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 56/25,850/57,305/747?
Given fractions are 56/25,850/57,305/747
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 56/25,850/57,305/747, numerators are 56,850,305
Denominators are 25,57,747
The GCF of 56,850,305 is 1 .
LCM of 25,57,747 is 354825.
The greatest common factor of 56/25,850/57,305/747 = [GCF of 56,850,305]/[LCM of 25,57,747]= 1/354825
Therefore, the GCF of 56/25,850/57,305/747 is 1/354825.
To find the highest common factor of 56,850,305, we have to find the factors of both numbers and list the highest common factor.
The factors of 56 are 1, 2, 4, 7, 8, 14, 28, 56
The factors of 850 are 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
The factors of 305 are 1, 5, 61, 305
The HCF of 56,850,305 is 1.
Lets's calculate GCF of 56,850,305
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 56,850,305 By Matching Biggest Common Factor Method
Now, list down the factors of 56
:1,2,4,7,8,14,28,56
Now, list down the factors of 850
:1,2,5,10,17,25,34,50,85,170,425,850
Now, list down the factors of 305
:1,5,61,305
Greatest Common Factor
We found the factors 56,850,305 . The biggest common factor number is the GCF number.
So the greatest common factor 56,850,305 is 1.
Lets's calculate LCM of 25,57,747
| 3 | 25, 57, 747 |
| 25, 19, 249 |
∴ So the LCM of the given numbers is 3 x 25 x 19 x 249 = 354825
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/354825
Therefore, the GCF of Fractions 56/25,850/57,305/747 is 1/354825
Least Common Multiple of 25,57,747 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 25,57,747 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(25,57,747) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(25,57,747) x common factors =1 x 3 = 3
LCM(25,57,747) = ( 25 × 57 × 747 ) / 3
LCM(25,57,747) = 1064475 / 3
LCM(25,57,747) = 354825
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FAQs on GCF of Fractions of 56/25, 850/57, 305/747
1. What is the HCF of 56,850,305?
The HCF of 56,850,305 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 56/25, 850/57, 305/747?
Answer: GCF of Numerators as per given numbers 56/25, 850/57, 305/747 is
GCF of Numerators i.e. for 56,850,305 is 1
LCM of denominators i.e. for 25,57,747 is 354825.
Thus, GCF of Fractions is 1/354825.Finally, GCF of Fractions for 56/25, 850/57, 305/747 is 1/354825.