GCF of 1912/452, 1979/2217
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1912/452, 1979/2217 i.e 1/1002084 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1912/452, 1979/2217.
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 1912/452,1979/2217?
Given fractions are 1912/452,1979/2217
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 1912/452,1979/2217, numerators are 1912,1979
Denominators are 452,2217
The GCF of 1912,1979 is 1 .
LCM of 452,2217 is 1002084.
The greatest common factor of 1912/452,1979/2217 = [GCF of 1912,1979]/[LCM of 452,2217]= 1/1002084
Therefore, the GCF of 1912/452,1979/2217 is 1/1002084.
To find the highest common factor of 1912,1979, we have to find the factors of both numbers and list the highest common factor.
The factors of 1912 are 1, 2, 4, 8, 239, 478, 956, 1912
The factors of 1979 are 1, 1979
The HCF of 1912,1979 is 1.
Lets's calculate GCF of 1912,1979
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1912,1979 By Matching Biggest Common Factor Method
Now, list down the factors of 1912
:1,2,4,8,239,478,956,1912
Now, list down the factors of 1979
:1,1979
Greatest Common Factor
We found the factors 1912,1979 . The biggest common factor number is the GCF number.
So the greatest common factor 1912,1979 is 1.
Lets's calculate LCM of 452,2217
Given numbers has no common factors except 1. So, there LCM is their product i.e 1002084
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1002084
Therefore, the GCF of Fractions 1912/452,1979/2217 is 1/1002084
Least Common Multiple of 452,2217 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 452,2217 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(452,2217) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(452,2217) x common factors =1 x 1 = 1
LCM(452,2217) = ( 452 × 2217 ) / 1
LCM(452,2217) = 1002084 / 1
LCM(452,2217) = 1002084
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1912/452, 1979/2217
1. What is the HCF of 1912,1979?
The HCF of 1912,1979 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 1912/452, 1979/2217?
Answer: GCF of Numerators as per given numbers 1912/452, 1979/2217 is
GCF of Numerators i.e. for 1912,1979 is 1
LCM of denominators i.e. for 452,2217 is 1002084.
Thus, GCF of Fractions is 1/1002084.Finally, GCF of Fractions for 1912/452, 1979/2217 is 1/1002084.