GCF of 5251/70, 4567/239
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5251/70, 4567/239 i.e 1/16730 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5251/70, 4567/239.
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 5251/70,4567/239?
Given fractions are 5251/70,4567/239
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 5251/70,4567/239, numerators are 5251,4567
Denominators are 70,239
The GCF of 5251,4567 is 1 .
LCM of 70,239 is 16730.
The greatest common factor of 5251/70,4567/239 = [GCF of 5251,4567]/[LCM of 70,239]= 1/16730
Therefore, the GCF of 5251/70,4567/239 is 1/16730.
To find the highest common factor of 5251,4567, we have to find the factors of both numbers and list the highest common factor.
The factors of 5251 are 1, 59, 89, 5251
The factors of 4567 are 1, 4567
The HCF of 5251,4567 is 1.
Lets's calculate GCF of 5251,4567
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5251,4567 By Matching Biggest Common Factor Method
Now, list down the factors of 5251
:1,59,89,5251
Now, list down the factors of 4567
:1,4567
Greatest Common Factor
We found the factors 5251,4567 . The biggest common factor number is the GCF number.
So the greatest common factor 5251,4567 is 1.
Lets's calculate LCM of 70,239
Given numbers has no common factors except 1. So, there LCM is their product i.e 16730
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16730
Therefore, the GCF of Fractions 5251/70,4567/239 is 1/16730
Least Common Multiple of 70,239 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 70,239 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,239) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(70,239) x common factors =1 x 1 = 1
LCM(70,239) = ( 70 × 239 ) / 1
LCM(70,239) = 16730 / 1
LCM(70,239) = 16730
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5251/70, 4567/239
1. What is the HCF of 5251,4567?
The HCF of 5251,4567 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 5251/70, 4567/239?
Answer: GCF of Numerators as per given numbers 5251/70, 4567/239 is
GCF of Numerators i.e. for 5251,4567 is 1
LCM of denominators i.e. for 70,239 is 16730.
Thus, GCF of Fractions is 1/16730.Finally, GCF of Fractions for 5251/70, 4567/239 is 1/16730.