GCF of 1925/521, 4934/9648
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1925/521, 4934/9648 i.e 1/5026608 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1925/521, 4934/9648.
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 1925/521,4934/9648?
Given fractions are 1925/521,4934/9648
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 1925/521,4934/9648, numerators are 1925,4934
Denominators are 521,9648
The GCF of 1925,4934 is 1 .
LCM of 521,9648 is 5026608.
The greatest common factor of 1925/521,4934/9648 = [GCF of 1925,4934]/[LCM of 521,9648]= 1/5026608
Therefore, the GCF of 1925/521,4934/9648 is 1/5026608.
To find the highest common factor of 1925,4934, we have to find the factors of both numbers and list the highest common factor.
The factors of 1925 are 1, 5, 7, 11, 25, 35, 55, 77, 175, 275, 385, 1925
The factors of 4934 are 1, 2, 2467, 4934
The HCF of 1925,4934 is 1.
Lets's calculate GCF of 1925,4934
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1925,4934 By Matching Biggest Common Factor Method
Now, list down the factors of 1925
:1,5,7,11,25,35,55,77,175,275,385,1925
Now, list down the factors of 4934
:1,2,2467,4934
Greatest Common Factor
We found the factors 1925,4934 . The biggest common factor number is the GCF number.
So the greatest common factor 1925,4934 is 1.
Lets's calculate LCM of 521,9648
Given numbers has no common factors except 1. So, there LCM is their product i.e 5026608
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5026608
Therefore, the GCF of Fractions 1925/521,4934/9648 is 1/5026608
Least Common Multiple of 521,9648 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 521,9648 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(521,9648) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(521,9648) x common factors =1 x 1 = 1
LCM(521,9648) = ( 521 × 9648 ) / 1
LCM(521,9648) = 5026608 / 1
LCM(521,9648) = 5026608
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FAQs on GCF of Fractions of 1925/521, 4934/9648
1. What is the HCF of 1925,4934?
The HCF of 1925,4934 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 1925/521, 4934/9648?
Answer: GCF of Numerators as per given numbers 1925/521, 4934/9648 is
GCF of Numerators i.e. for 1925,4934 is 1
LCM of denominators i.e. for 521,9648 is 5026608.
Thus, GCF of Fractions is 1/5026608.Finally, GCF of Fractions for 1925/521, 4934/9648 is 1/5026608.