GCF of 1926/890, 7441/4929
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1926/890, 7441/4929 i.e 1/4386810 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1926/890, 7441/4929.
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 1926/890,7441/4929?
Given fractions are 1926/890,7441/4929
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 1926/890,7441/4929, numerators are 1926,7441
Denominators are 890,4929
The GCF of 1926,7441 is 1 .
LCM of 890,4929 is 4386810.
The greatest common factor of 1926/890,7441/4929 = [GCF of 1926,7441]/[LCM of 890,4929]= 1/4386810
Therefore, the GCF of 1926/890,7441/4929 is 1/4386810.
To find the highest common factor of 1926,7441, we have to find the factors of both numbers and list the highest common factor.
The factors of 1926 are 1, 2, 3, 6, 9, 18, 107, 214, 321, 642, 963, 1926
The factors of 7441 are 1, 7, 1063, 7441
The HCF of 1926,7441 is 1.
Lets's calculate GCF of 1926,7441
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1926,7441 By Matching Biggest Common Factor Method
Now, list down the factors of 1926
:1,2,3,6,9,18,107,214,321,642,963,1926
Now, list down the factors of 7441
:1,7,1063,7441
Greatest Common Factor
We found the factors 1926,7441 . The biggest common factor number is the GCF number.
So the greatest common factor 1926,7441 is 1.
Lets's calculate LCM of 890,4929
Given numbers has no common factors except 1. So, there LCM is their product i.e 4386810
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4386810
Therefore, the GCF of Fractions 1926/890,7441/4929 is 1/4386810
Least Common Multiple of 890,4929 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 890,4929 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(890,4929) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(890,4929) x common factors =1 x 1 = 1
LCM(890,4929) = ( 890 × 4929 ) / 1
LCM(890,4929) = 4386810 / 1
LCM(890,4929) = 4386810
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FAQs on GCF of Fractions of 1926/890, 7441/4929
1. What is the HCF of 1926,7441?
The HCF of 1926,7441 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 1926/890, 7441/4929?
Answer: GCF of Numerators as per given numbers 1926/890, 7441/4929 is
GCF of Numerators i.e. for 1926,7441 is 1
LCM of denominators i.e. for 890,4929 is 4386810.
Thus, GCF of Fractions is 1/4386810.Finally, GCF of Fractions for 1926/890, 7441/4929 is 1/4386810.