GCF of 319/47, 706/610
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 319/47, 706/610 i.e 1/28670 easily. The following is the detailed procedure to determine the greatest common factor of fractions 319/47, 706/610.
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 319/47,706/610?
Given fractions are 319/47,706/610
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 319/47,706/610, numerators are 319,706
Denominators are 47,610
The GCF of 319,706 is 1 .
LCM of 47,610 is 28670.
The greatest common factor of 319/47,706/610 = [GCF of 319,706]/[LCM of 47,610]= 1/28670
Therefore, the GCF of 319/47,706/610 is 1/28670.
To find the highest common factor of 319,706, we have to find the factors of both numbers and list the highest common factor.
The factors of 319 are 1, 11, 29, 319
The factors of 706 are 1, 2, 353, 706
The HCF of 319,706 is 1.
Lets's calculate GCF of 319,706
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 319,706 By Matching Biggest Common Factor Method
Now, list down the factors of 319
:1,11,29,319
Now, list down the factors of 706
:1,2,353,706
Greatest Common Factor
We found the factors 319,706 . The biggest common factor number is the GCF number.
So the greatest common factor 319,706 is 1.
Lets's calculate LCM of 47,610
Given numbers has no common factors except 1. So, there LCM is their product i.e 28670
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28670
Therefore, the GCF of Fractions 319/47,706/610 is 1/28670
Least Common Multiple of 47,610 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 47,610 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,610) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(47,610) x common factors =1 x 1 = 1
LCM(47,610) = ( 47 × 610 ) / 1
LCM(47,610) = 28670 / 1
LCM(47,610) = 28670
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 319/47, 706/610
1. What is the HCF of 319,706?
The HCF of 319,706 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 319/47, 706/610?
Answer: GCF of Numerators as per given numbers 319/47, 706/610 is
GCF of Numerators i.e. for 319,706 is 1
LCM of denominators i.e. for 47,610 is 28670.
Thus, GCF of Fractions is 1/28670.Finally, GCF of Fractions for 319/47, 706/610 is 1/28670.