GCF of 1546/907, 9925/473
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1546/907, 9925/473 i.e 1/429011 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1546/907, 9925/473.
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 1546/907,9925/473?
Given fractions are 1546/907,9925/473
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 1546/907,9925/473, numerators are 1546,9925
Denominators are 907,473
The GCF of 1546,9925 is 1 .
LCM of 907,473 is 429011.
The greatest common factor of 1546/907,9925/473 = [GCF of 1546,9925]/[LCM of 907,473]= 1/429011
Therefore, the GCF of 1546/907,9925/473 is 1/429011.
To find the highest common factor of 1546,9925, we have to find the factors of both numbers and list the highest common factor.
The factors of 1546 are 1, 2, 773, 1546
The factors of 9925 are 1, 5, 25, 397, 1985, 9925
The HCF of 1546,9925 is 1.
Lets's calculate GCF of 1546,9925
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1546,9925 By Matching Biggest Common Factor Method
Now, list down the factors of 1546
:1,2,773,1546
Now, list down the factors of 9925
:1,5,25,397,1985,9925
Greatest Common Factor
We found the factors 1546,9925 . The biggest common factor number is the GCF number.
So the greatest common factor 1546,9925 is 1.
Lets's calculate LCM of 907,473
Given numbers has no common factors except 1. So, there LCM is their product i.e 429011
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/429011
Therefore, the GCF of Fractions 1546/907,9925/473 is 1/429011
Least Common Multiple of 907,473 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 907,473 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(907,473) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(907,473) x common factors =1 x 1 = 1
LCM(907,473) = ( 907 × 473 ) / 1
LCM(907,473) = 429011 / 1
LCM(907,473) = 429011
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FAQs on GCF of Fractions of 1546/907, 9925/473
1. What is the HCF of 1546,9925?
The HCF of 1546,9925 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 1546/907, 9925/473?
Answer: GCF of Numerators as per given numbers 1546/907, 9925/473 is
GCF of Numerators i.e. for 1546,9925 is 1
LCM of denominators i.e. for 907,473 is 429011.
Thus, GCF of Fractions is 1/429011.Finally, GCF of Fractions for 1546/907, 9925/473 is 1/429011.