GCF of 2067/933, 6455/9898
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2067/933, 6455/9898 i.e 1/9234834 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2067/933, 6455/9898.
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 2067/933,6455/9898?
Given fractions are 2067/933,6455/9898
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 2067/933,6455/9898, numerators are 2067,6455
Denominators are 933,9898
The GCF of 2067,6455 is 1 .
LCM of 933,9898 is 9234834.
The greatest common factor of 2067/933,6455/9898 = [GCF of 2067,6455]/[LCM of 933,9898]= 1/9234834
Therefore, the GCF of 2067/933,6455/9898 is 1/9234834.
To find the highest common factor of 2067,6455, we have to find the factors of both numbers and list the highest common factor.
The factors of 2067 are 1, 3, 13, 39, 53, 159, 689, 2067
The factors of 6455 are 1, 5, 1291, 6455
The HCF of 2067,6455 is 1.
Lets's calculate GCF of 2067,6455
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2067,6455 By Matching Biggest Common Factor Method
Now, list down the factors of 2067
:1,3,13,39,53,159,689,2067
Now, list down the factors of 6455
:1,5,1291,6455
Greatest Common Factor
We found the factors 2067,6455 . The biggest common factor number is the GCF number.
So the greatest common factor 2067,6455 is 1.
Lets's calculate LCM of 933,9898
Given numbers has no common factors except 1. So, there LCM is their product i.e 9234834
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9234834
Therefore, the GCF of Fractions 2067/933,6455/9898 is 1/9234834
Least Common Multiple of 933,9898 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 933,9898 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(933,9898) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(933,9898) x common factors =1 x 1 = 1
LCM(933,9898) = ( 933 × 9898 ) / 1
LCM(933,9898) = 9234834 / 1
LCM(933,9898) = 9234834
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FAQs on GCF of Fractions of 2067/933, 6455/9898
1. What is the HCF of 2067,6455?
The HCF of 2067,6455 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 2067/933, 6455/9898?
Answer: GCF of Numerators as per given numbers 2067/933, 6455/9898 is
GCF of Numerators i.e. for 2067,6455 is 1
LCM of denominators i.e. for 933,9898 is 9234834.
Thus, GCF of Fractions is 1/9234834.Finally, GCF of Fractions for 2067/933, 6455/9898 is 1/9234834.