GCF of 3453/968, 5820/967
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3453/968, 5820/967 i.e 3/936056 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3453/968, 5820/967.
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 3453/968,5820/967?
Given fractions are 3453/968,5820/967
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 3453/968,5820/967, numerators are 3453,5820
Denominators are 968,967
The GCF of 3453,5820 is 3 .
LCM of 968,967 is 936056.
The greatest common factor of 3453/968,5820/967 = [GCF of 3453,5820]/[LCM of 968,967]= 3/936056
Therefore, the GCF of 3453/968,5820/967 is 3/936056.
To find the highest common factor of 3453,5820, we have to find the factors of both numbers and list the highest common factor.
The factors of 3453 are 1, 3, 1151, 3453
The factors of 5820 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 97, 194, 291, 388, 485, 582, 970, 1164, 1455, 1940, 2910, 5820
The HCF of 3453,5820 is 3.
Lets's calculate GCF of 3453,5820
| 3 | 3453, 5820 |
| 1151, 1940 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3453,5820 By Matching Biggest Common Factor Method
Now, list down the factors of 3453
:1,3,1151,3453
Now, list down the factors of 5820
:1,2,3,4,5,6,10,12,15,20,30,60,97,194,291,388,485,582,970,1164,1455,1940,2910,5820
Greatest Common Factor
We found the factors 3453,5820 . The biggest common factor number is the GCF number.
So the greatest common factor 3453,5820 is 3.
Lets's calculate LCM of 968,967
Given numbers has no common factors except 1. So, there LCM is their product i.e 936056
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/936056
Therefore, the GCF of Fractions 3453/968,5820/967 is 3/936056
Least Common Multiple of 968,967 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 968,967 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(968,967) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(968,967) x common factors =1 x 1 = 1
LCM(968,967) = ( 968 × 967 ) / 1
LCM(968,967) = 936056 / 1
LCM(968,967) = 936056
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3453/968, 5820/967
1. What is the HCF of 3453,5820?
The HCF of 3453,5820 is 3
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 3453/968, 5820/967?
Answer: GCF of Numerators as per given numbers 3453/968, 5820/967 is
GCF of Numerators i.e. for 3453,5820 is 3
LCM of denominators i.e. for 968,967 is 936056.
Thus, GCF of Fractions is 3/936056.Finally, GCF of Fractions for 3453/968, 5820/967 is 3/936056.