GCF of 1343/944, 2212/5967
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1343/944, 2212/5967 i.e 79/5632848 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1343/944, 2212/5967.
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 1343/944,2212/5967?
Given fractions are 1343/944,2212/5967
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 1343/944,2212/5967, numerators are 1343,2212
Denominators are 944,5967
The GCF of 1343,2212 is 79 .
LCM of 944,5967 is 5632848.
The greatest common factor of 1343/944,2212/5967 = [GCF of 1343,2212]/[LCM of 944,5967]= 79/5632848
Therefore, the GCF of 1343/944,2212/5967 is 79/5632848.
To find the highest common factor of 1343,2212, we have to find the factors of both numbers and list the highest common factor.
The factors of 1343 are 1, 17, 79, 1343
The factors of 2212 are 1, 2, 4, 7, 14, 28, 79, 158, 316, 553, 1106, 2212
The HCF of 1343,2212 is 79.
Lets's calculate GCF of 1343,2212
| 79 | 1343, 2212 |
| 17, 28 |
∴ So the GCF of the given numbers is 79 = 79
Greatest Common Factor of 1343,2212 By Matching Biggest Common Factor Method
Now, list down the factors of 1343
:1,17,79,1343
Now, list down the factors of 2212
:1,2,4,7,14,28,79,158,316,553,1106,2212
Greatest Common Factor
We found the factors 1343,2212 . The biggest common factor number is the GCF number.
So the greatest common factor 1343,2212 is 79.
Lets's calculate LCM of 944,5967
Given numbers has no common factors except 1. So, there LCM is their product i.e 5632848
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 79/5632848
Therefore, the GCF of Fractions 1343/944,2212/5967 is 79/5632848
Least Common Multiple of 944,5967 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 944,5967 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(944,5967) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(944,5967) x common factors =1 x 1 = 1
LCM(944,5967) = ( 944 × 5967 ) / 1
LCM(944,5967) = 5632848 / 1
LCM(944,5967) = 5632848
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FAQs on GCF of Fractions of 1343/944, 2212/5967
1. What is the HCF of 1343,2212?
The HCF of 1343,2212 is 79
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 1343/944, 2212/5967?
Answer: GCF of Numerators as per given numbers 1343/944, 2212/5967 is
GCF of Numerators i.e. for 1343,2212 is 79
LCM of denominators i.e. for 944,5967 is 5632848.
Thus, GCF of Fractions is 79/5632848.Finally, GCF of Fractions for 1343/944, 2212/5967 is 79/5632848.