GCF of 4870/239, 8031/3250
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4870/239, 8031/3250 i.e 1/776750 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4870/239, 8031/3250.
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 4870/239,8031/3250?
Given fractions are 4870/239,8031/3250
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 4870/239,8031/3250, numerators are 4870,8031
Denominators are 239,3250
The GCF of 4870,8031 is 1 .
LCM of 239,3250 is 776750.
The greatest common factor of 4870/239,8031/3250 = [GCF of 4870,8031]/[LCM of 239,3250]= 1/776750
Therefore, the GCF of 4870/239,8031/3250 is 1/776750.
To find the highest common factor of 4870,8031, we have to find the factors of both numbers and list the highest common factor.
The factors of 4870 are 1, 2, 5, 10, 487, 974, 2435, 4870
The factors of 8031 are 1, 3, 2677, 8031
The HCF of 4870,8031 is 1.
Lets's calculate GCF of 4870,8031
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4870,8031 By Matching Biggest Common Factor Method
Now, list down the factors of 4870
:1,2,5,10,487,974,2435,4870
Now, list down the factors of 8031
:1,3,2677,8031
Greatest Common Factor
We found the factors 4870,8031 . The biggest common factor number is the GCF number.
So the greatest common factor 4870,8031 is 1.
Lets's calculate LCM of 239,3250
Given numbers has no common factors except 1. So, there LCM is their product i.e 776750
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/776750
Therefore, the GCF of Fractions 4870/239,8031/3250 is 1/776750
Least Common Multiple of 239,3250 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 239,3250 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(239,3250) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(239,3250) x common factors =1 x 1 = 1
LCM(239,3250) = ( 239 × 3250 ) / 1
LCM(239,3250) = 776750 / 1
LCM(239,3250) = 776750
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4870/239, 8031/3250
1. What is the HCF of 4870,8031?
The HCF of 4870,8031 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 4870/239, 8031/3250?
Answer: GCF of Numerators as per given numbers 4870/239, 8031/3250 is
GCF of Numerators i.e. for 4870,8031 is 1
LCM of denominators i.e. for 239,3250 is 776750.
Thus, GCF of Fractions is 1/776750.Finally, GCF of Fractions for 4870/239, 8031/3250 is 1/776750.