GCF of 979/221, 6990/7268
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 979/221, 6990/7268 i.e 1/1606228 easily. The following is the detailed procedure to determine the greatest common factor of fractions 979/221, 6990/7268.
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 979/221,6990/7268?
Given fractions are 979/221,6990/7268
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 979/221,6990/7268, numerators are 979,6990
Denominators are 221,7268
The GCF of 979,6990 is 1 .
LCM of 221,7268 is 1606228.
The greatest common factor of 979/221,6990/7268 = [GCF of 979,6990]/[LCM of 221,7268]= 1/1606228
Therefore, the GCF of 979/221,6990/7268 is 1/1606228.
To find the highest common factor of 979,6990, we have to find the factors of both numbers and list the highest common factor.
The factors of 979 are 1, 11, 89, 979
The factors of 6990 are 1, 2, 3, 5, 6, 10, 15, 30, 233, 466, 699, 1165, 1398, 2330, 3495, 6990
The HCF of 979,6990 is 1.
Lets's calculate GCF of 979,6990
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 979,6990 By Matching Biggest Common Factor Method
Now, list down the factors of 979
:1,11,89,979
Now, list down the factors of 6990
:1,2,3,5,6,10,15,30,233,466,699,1165,1398,2330,3495,6990
Greatest Common Factor
We found the factors 979,6990 . The biggest common factor number is the GCF number.
So the greatest common factor 979,6990 is 1.
Lets's calculate LCM of 221,7268
Given numbers has no common factors except 1. So, there LCM is their product i.e 1606228
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1606228
Therefore, the GCF of Fractions 979/221,6990/7268 is 1/1606228
Least Common Multiple of 221,7268 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 221,7268 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(221,7268) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(221,7268) x common factors =1 x 1 = 1
LCM(221,7268) = ( 221 × 7268 ) / 1
LCM(221,7268) = 1606228 / 1
LCM(221,7268) = 1606228
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 979/221, 6990/7268
1. What is the HCF of 979,6990?
The HCF of 979,6990 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 979/221, 6990/7268?
Answer: GCF of Numerators as per given numbers 979/221, 6990/7268 is
GCF of Numerators i.e. for 979,6990 is 1
LCM of denominators i.e. for 221,7268 is 1606228.
Thus, GCF of Fractions is 1/1606228.Finally, GCF of Fractions for 979/221, 6990/7268 is 1/1606228.