GCF of 5203/923, 1018/6270
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5203/923, 1018/6270 i.e 1/5787210 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5203/923, 1018/6270.
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 5203/923,1018/6270?
Given fractions are 5203/923,1018/6270
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 5203/923,1018/6270, numerators are 5203,1018
Denominators are 923,6270
The GCF of 5203,1018 is 1 .
LCM of 923,6270 is 5787210.
The greatest common factor of 5203/923,1018/6270 = [GCF of 5203,1018]/[LCM of 923,6270]= 1/5787210
Therefore, the GCF of 5203/923,1018/6270 is 1/5787210.
To find the highest common factor of 5203,1018, we have to find the factors of both numbers and list the highest common factor.
The factors of 5203 are 1, 11, 43, 121, 473, 5203
The factors of 1018 are 1, 2, 509, 1018
The HCF of 5203,1018 is 1.
Lets's calculate GCF of 5203,1018
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5203,1018 By Matching Biggest Common Factor Method
Now, list down the factors of 5203
:1,11,43,121,473,5203
Now, list down the factors of 1018
:1,2,509,1018
Greatest Common Factor
We found the factors 5203,1018 . The biggest common factor number is the GCF number.
So the greatest common factor 5203,1018 is 1.
Lets's calculate LCM of 923,6270
Given numbers has no common factors except 1. So, there LCM is their product i.e 5787210
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5787210
Therefore, the GCF of Fractions 5203/923,1018/6270 is 1/5787210
Least Common Multiple of 923,6270 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 923,6270 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(923,6270) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(923,6270) x common factors =1 x 1 = 1
LCM(923,6270) = ( 923 × 6270 ) / 1
LCM(923,6270) = 5787210 / 1
LCM(923,6270) = 5787210
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5203/923, 1018/6270
1. What is the HCF of 5203,1018?
The HCF of 5203,1018 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 5203/923, 1018/6270?
Answer: GCF of Numerators as per given numbers 5203/923, 1018/6270 is
GCF of Numerators i.e. for 5203,1018 is 1
LCM of denominators i.e. for 923,6270 is 5787210.
Thus, GCF of Fractions is 1/5787210.Finally, GCF of Fractions for 5203/923, 1018/6270 is 1/5787210.