GCF of 7099/163, 3961/2751
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7099/163, 3961/2751 i.e 1/448413 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7099/163, 3961/2751.
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 7099/163,3961/2751?
Given fractions are 7099/163,3961/2751
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 7099/163,3961/2751, numerators are 7099,3961
Denominators are 163,2751
The GCF of 7099,3961 is 1 .
LCM of 163,2751 is 448413.
The greatest common factor of 7099/163,3961/2751 = [GCF of 7099,3961]/[LCM of 163,2751]= 1/448413
Therefore, the GCF of 7099/163,3961/2751 is 1/448413.
To find the highest common factor of 7099,3961, we have to find the factors of both numbers and list the highest common factor.
The factors of 7099 are 1, 31, 229, 7099
The factors of 3961 are 1, 17, 233, 3961
The HCF of 7099,3961 is 1.
Lets's calculate GCF of 7099,3961
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7099,3961 By Matching Biggest Common Factor Method
Now, list down the factors of 7099
:1,31,229,7099
Now, list down the factors of 3961
:1,17,233,3961
Greatest Common Factor
We found the factors 7099,3961 . The biggest common factor number is the GCF number.
So the greatest common factor 7099,3961 is 1.
Lets's calculate LCM of 163,2751
Given numbers has no common factors except 1. So, there LCM is their product i.e 448413
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/448413
Therefore, the GCF of Fractions 7099/163,3961/2751 is 1/448413
Least Common Multiple of 163,2751 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 163,2751 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(163,2751) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(163,2751) x common factors =1 x 1 = 1
LCM(163,2751) = ( 163 × 2751 ) / 1
LCM(163,2751) = 448413 / 1
LCM(163,2751) = 448413
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7099/163, 3961/2751
1. What is the HCF of 7099,3961?
The HCF of 7099,3961 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 7099/163, 3961/2751?
Answer: GCF of Numerators as per given numbers 7099/163, 3961/2751 is
GCF of Numerators i.e. for 7099,3961 is 1
LCM of denominators i.e. for 163,2751 is 448413.
Thus, GCF of Fractions is 1/448413.Finally, GCF of Fractions for 7099/163, 3961/2751 is 1/448413.