GCF of 7625/471, 1308/1900
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7625/471, 1308/1900 i.e 1/894900 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7625/471, 1308/1900.
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 7625/471,1308/1900?
Given fractions are 7625/471,1308/1900
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 7625/471,1308/1900, numerators are 7625,1308
Denominators are 471,1900
The GCF of 7625,1308 is 1 .
LCM of 471,1900 is 894900.
The greatest common factor of 7625/471,1308/1900 = [GCF of 7625,1308]/[LCM of 471,1900]= 1/894900
Therefore, the GCF of 7625/471,1308/1900 is 1/894900.
To find the highest common factor of 7625,1308, we have to find the factors of both numbers and list the highest common factor.
The factors of 7625 are 1, 5, 25, 61, 125, 305, 1525, 7625
The factors of 1308 are 1, 2, 3, 4, 6, 12, 109, 218, 327, 436, 654, 1308
The HCF of 7625,1308 is 1.
Lets's calculate GCF of 7625,1308
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7625,1308 By Matching Biggest Common Factor Method
Now, list down the factors of 7625
:1,5,25,61,125,305,1525,7625
Now, list down the factors of 1308
:1,2,3,4,6,12,109,218,327,436,654,1308
Greatest Common Factor
We found the factors 7625,1308 . The biggest common factor number is the GCF number.
So the greatest common factor 7625,1308 is 1.
Lets's calculate LCM of 471,1900
Given numbers has no common factors except 1. So, there LCM is their product i.e 894900
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/894900
Therefore, the GCF of Fractions 7625/471,1308/1900 is 1/894900
Least Common Multiple of 471,1900 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 471,1900 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(471,1900) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(471,1900) x common factors =1 x 1 = 1
LCM(471,1900) = ( 471 × 1900 ) / 1
LCM(471,1900) = 894900 / 1
LCM(471,1900) = 894900
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FAQs on GCF of Fractions of 7625/471, 1308/1900
1. What is the HCF of 7625,1308?
The HCF of 7625,1308 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 7625/471, 1308/1900?
Answer: GCF of Numerators as per given numbers 7625/471, 1308/1900 is
GCF of Numerators i.e. for 7625,1308 is 1
LCM of denominators i.e. for 471,1900 is 894900.
Thus, GCF of Fractions is 1/894900.Finally, GCF of Fractions for 7625/471, 1308/1900 is 1/894900.