GCF of 739/652, 2120/651
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 739/652, 2120/651 i.e 1/424452 easily. The following is the detailed procedure to determine the greatest common factor of fractions 739/652, 2120/651.
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 739/652,2120/651?
Given fractions are 739/652,2120/651
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 739/652,2120/651, numerators are 739,2120
Denominators are 652,651
The GCF of 739,2120 is 1 .
LCM of 652,651 is 424452.
The greatest common factor of 739/652,2120/651 = [GCF of 739,2120]/[LCM of 652,651]= 1/424452
Therefore, the GCF of 739/652,2120/651 is 1/424452.
To find the highest common factor of 739,2120, we have to find the factors of both numbers and list the highest common factor.
The factors of 739 are 1, 739
The factors of 2120 are 1, 2, 4, 5, 8, 10, 20, 40, 53, 106, 212, 265, 424, 530, 1060, 2120
The HCF of 739,2120 is 1.
Lets's calculate GCF of 739,2120
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 739,2120 By Matching Biggest Common Factor Method
Now, list down the factors of 739
:1,739
Now, list down the factors of 2120
:1,2,4,5,8,10,20,40,53,106,212,265,424,530,1060,2120
Greatest Common Factor
We found the factors 739,2120 . The biggest common factor number is the GCF number.
So the greatest common factor 739,2120 is 1.
Lets's calculate LCM of 652,651
Given numbers has no common factors except 1. So, there LCM is their product i.e 424452
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/424452
Therefore, the GCF of Fractions 739/652,2120/651 is 1/424452
Least Common Multiple of 652,651 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 652,651 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(652,651) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(652,651) x common factors =1 x 1 = 1
LCM(652,651) = ( 652 × 651 ) / 1
LCM(652,651) = 424452 / 1
LCM(652,651) = 424452
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 739/652, 2120/651
1. What is the HCF of 739,2120?
The HCF of 739,2120 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 739/652, 2120/651?
Answer: GCF of Numerators as per given numbers 739/652, 2120/651 is
GCF of Numerators i.e. for 739,2120 is 1
LCM of denominators i.e. for 652,651 is 424452.
Thus, GCF of Fractions is 1/424452.Finally, GCF of Fractions for 739/652, 2120/651 is 1/424452.