GCF of 2979/298, 3937/701
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2979/298, 3937/701 i.e 1/208898 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2979/298, 3937/701.
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 2979/298,3937/701?
Given fractions are 2979/298,3937/701
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 2979/298,3937/701, numerators are 2979,3937
Denominators are 298,701
The GCF of 2979,3937 is 1 .
LCM of 298,701 is 208898.
The greatest common factor of 2979/298,3937/701 = [GCF of 2979,3937]/[LCM of 298,701]= 1/208898
Therefore, the GCF of 2979/298,3937/701 is 1/208898.
To find the highest common factor of 2979,3937, we have to find the factors of both numbers and list the highest common factor.
The factors of 2979 are 1, 3, 9, 331, 993, 2979
The factors of 3937 are 1, 31, 127, 3937
The HCF of 2979,3937 is 1.
Lets's calculate GCF of 2979,3937
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2979,3937 By Matching Biggest Common Factor Method
Now, list down the factors of 2979
:1,3,9,331,993,2979
Now, list down the factors of 3937
:1,31,127,3937
Greatest Common Factor
We found the factors 2979,3937 . The biggest common factor number is the GCF number.
So the greatest common factor 2979,3937 is 1.
Lets's calculate LCM of 298,701
Given numbers has no common factors except 1. So, there LCM is their product i.e 208898
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/208898
Therefore, the GCF of Fractions 2979/298,3937/701 is 1/208898
Least Common Multiple of 298,701 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 298,701 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(298,701) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(298,701) x common factors =1 x 1 = 1
LCM(298,701) = ( 298 × 701 ) / 1
LCM(298,701) = 208898 / 1
LCM(298,701) = 208898
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2979/298, 3937/701
1. What is the HCF of 2979,3937?
The HCF of 2979,3937 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 2979/298, 3937/701?
Answer: GCF of Numerators as per given numbers 2979/298, 3937/701 is
GCF of Numerators i.e. for 2979,3937 is 1
LCM of denominators i.e. for 298,701 is 208898.
Thus, GCF of Fractions is 1/208898.Finally, GCF of Fractions for 2979/298, 3937/701 is 1/208898.