GCF of 25/953, 31/248, 690/558
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 25/953, 31/248, 690/558 i.e 1/2127096 easily. The following is the detailed procedure to determine the greatest common factor of fractions 25/953, 31/248, 690/558.
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 25/953,31/248,690/558?
Given fractions are 25/953,31/248,690/558
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 25/953,31/248,690/558, numerators are 25,31,690
Denominators are 953,248,558
The GCF of 25,31,690 is 1 .
LCM of 953,248,558 is 2127096.
The greatest common factor of 25/953,31/248,690/558 = [GCF of 25,31,690]/[LCM of 953,248,558]= 1/2127096
Therefore, the GCF of 25/953,31/248,690/558 is 1/2127096.
To find the highest common factor of 25,31,690, we have to find the factors of both numbers and list the highest common factor.
The factors of 25 are 1, 5, 25
The factors of 31 are 1, 31
The factors of 690 are 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
The HCF of 25,31,690 is 1.
Lets's calculate GCF of 25,31,690
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 25,31,690 By Matching Biggest Common Factor Method
Now, list down the factors of 25
:1,5,25
Now, list down the factors of 31
:1,31
Now, list down the factors of 690
:1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690
Greatest Common Factor
We found the factors 25,31,690 . The biggest common factor number is the GCF number.
So the greatest common factor 25,31,690 is 1.
Lets's calculate LCM of 953,248,558
| 2 | 953, 248, 558 |
| 31 | 953, 124, 279 |
| 953, 4, 9 |
∴ So the LCM of the given numbers is 2 x 31 x 953 x 4 x 9 = 2127096
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2127096
Therefore, the GCF of Fractions 25/953,31/248,690/558 is 1/2127096
Least Common Multiple of 953,248,558 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 953,248,558 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(953,248,558) = 1
common factors(in case of two or more numbers have common factors) = 62
GCF(953,248,558) x common factors =1 x 62 = 62
LCM(953,248,558) = ( 953 × 248 × 558 ) / 62
LCM(953,248,558) = 131879952 / 62
LCM(953,248,558) = 2127096
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FAQs on GCF of Fractions of 25/953, 31/248, 690/558
1. What is the HCF of 25,31,690?
The HCF of 25,31,690 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 25/953, 31/248, 690/558?
Answer: GCF of Numerators as per given numbers 25/953, 31/248, 690/558 is
GCF of Numerators i.e. for 25,31,690 is 1
LCM of denominators i.e. for 953,248,558 is 2127096.
Thus, GCF of Fractions is 1/2127096.Finally, GCF of Fractions for 25/953, 31/248, 690/558 is 1/2127096.