GCF of 4861/390, 4619/4751
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4861/390, 4619/4751 i.e 1/1852890 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4861/390, 4619/4751.
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 4861/390,4619/4751?
Given fractions are 4861/390,4619/4751
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 4861/390,4619/4751, numerators are 4861,4619
Denominators are 390,4751
The GCF of 4861,4619 is 1 .
LCM of 390,4751 is 1852890.
The greatest common factor of 4861/390,4619/4751 = [GCF of 4861,4619]/[LCM of 390,4751]= 1/1852890
Therefore, the GCF of 4861/390,4619/4751 is 1/1852890.
To find the highest common factor of 4861,4619, we have to find the factors of both numbers and list the highest common factor.
The factors of 4861 are 1, 4861
The factors of 4619 are 1, 31, 149, 4619
The HCF of 4861,4619 is 1.
Lets's calculate GCF of 4861,4619
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4861,4619 By Matching Biggest Common Factor Method
Now, list down the factors of 4861
:1,4861
Now, list down the factors of 4619
:1,31,149,4619
Greatest Common Factor
We found the factors 4861,4619 . The biggest common factor number is the GCF number.
So the greatest common factor 4861,4619 is 1.
Lets's calculate LCM of 390,4751
Given numbers has no common factors except 1. So, there LCM is their product i.e 1852890
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1852890
Therefore, the GCF of Fractions 4861/390,4619/4751 is 1/1852890
Least Common Multiple of 390,4751 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 390,4751 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(390,4751) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(390,4751) x common factors =1 x 1 = 1
LCM(390,4751) = ( 390 × 4751 ) / 1
LCM(390,4751) = 1852890 / 1
LCM(390,4751) = 1852890
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FAQs on GCF of Fractions of 4861/390, 4619/4751
1. What is the HCF of 4861,4619?
The HCF of 4861,4619 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 4861/390, 4619/4751?
Answer: GCF of Numerators as per given numbers 4861/390, 4619/4751 is
GCF of Numerators i.e. for 4861,4619 is 1
LCM of denominators i.e. for 390,4751 is 1852890.
Thus, GCF of Fractions is 1/1852890.Finally, GCF of Fractions for 4861/390, 4619/4751 is 1/1852890.