GCF of 8239/746, 3175/207
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8239/746, 3175/207 i.e 1/154422 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8239/746, 3175/207.
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 8239/746,3175/207?
Given fractions are 8239/746,3175/207
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 8239/746,3175/207, numerators are 8239,3175
Denominators are 746,207
The GCF of 8239,3175 is 1 .
LCM of 746,207 is 154422.
The greatest common factor of 8239/746,3175/207 = [GCF of 8239,3175]/[LCM of 746,207]= 1/154422
Therefore, the GCF of 8239/746,3175/207 is 1/154422.
To find the highest common factor of 8239,3175, we have to find the factors of both numbers and list the highest common factor.
The factors of 8239 are 1, 7, 11, 77, 107, 749, 1177, 8239
The factors of 3175 are 1, 5, 25, 127, 635, 3175
The HCF of 8239,3175 is 1.
Lets's calculate GCF of 8239,3175
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8239,3175 By Matching Biggest Common Factor Method
Now, list down the factors of 8239
:1,7,11,77,107,749,1177,8239
Now, list down the factors of 3175
:1,5,25,127,635,3175
Greatest Common Factor
We found the factors 8239,3175 . The biggest common factor number is the GCF number.
So the greatest common factor 8239,3175 is 1.
Lets's calculate LCM of 746,207
Given numbers has no common factors except 1. So, there LCM is their product i.e 154422
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/154422
Therefore, the GCF of Fractions 8239/746,3175/207 is 1/154422
Least Common Multiple of 746,207 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 746,207 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(746,207) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(746,207) x common factors =1 x 1 = 1
LCM(746,207) = ( 746 × 207 ) / 1
LCM(746,207) = 154422 / 1
LCM(746,207) = 154422
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8239/746, 3175/207
1. What is the HCF of 8239,3175?
The HCF of 8239,3175 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 8239/746, 3175/207?
Answer: GCF of Numerators as per given numbers 8239/746, 3175/207 is
GCF of Numerators i.e. for 8239,3175 is 1
LCM of denominators i.e. for 746,207 is 154422.
Thus, GCF of Fractions is 1/154422.Finally, GCF of Fractions for 8239/746, 3175/207 is 1/154422.