GCF of 1979/735, 4514/1222
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1979/735, 4514/1222 i.e 1/898170 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1979/735, 4514/1222.
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 1979/735,4514/1222?
Given fractions are 1979/735,4514/1222
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 1979/735,4514/1222, numerators are 1979,4514
Denominators are 735,1222
The GCF of 1979,4514 is 1 .
LCM of 735,1222 is 898170.
The greatest common factor of 1979/735,4514/1222 = [GCF of 1979,4514]/[LCM of 735,1222]= 1/898170
Therefore, the GCF of 1979/735,4514/1222 is 1/898170.
To find the highest common factor of 1979,4514, we have to find the factors of both numbers and list the highest common factor.
The factors of 1979 are 1, 1979
The factors of 4514 are 1, 2, 37, 61, 74, 122, 2257, 4514
The HCF of 1979,4514 is 1.
Lets's calculate GCF of 1979,4514
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1979,4514 By Matching Biggest Common Factor Method
Now, list down the factors of 1979
:1,1979
Now, list down the factors of 4514
:1,2,37,61,74,122,2257,4514
Greatest Common Factor
We found the factors 1979,4514 . The biggest common factor number is the GCF number.
So the greatest common factor 1979,4514 is 1.
Lets's calculate LCM of 735,1222
Given numbers has no common factors except 1. So, there LCM is their product i.e 898170
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/898170
Therefore, the GCF of Fractions 1979/735,4514/1222 is 1/898170
Least Common Multiple of 735,1222 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 735,1222 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(735,1222) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(735,1222) x common factors =1 x 1 = 1
LCM(735,1222) = ( 735 × 1222 ) / 1
LCM(735,1222) = 898170 / 1
LCM(735,1222) = 898170
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1979/735, 4514/1222
1. What is the HCF of 1979,4514?
The HCF of 1979,4514 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 1979/735, 4514/1222?
Answer: GCF of Numerators as per given numbers 1979/735, 4514/1222 is
GCF of Numerators i.e. for 1979,4514 is 1
LCM of denominators i.e. for 735,1222 is 898170.
Thus, GCF of Fractions is 1/898170.Finally, GCF of Fractions for 1979/735, 4514/1222 is 1/898170.