GCF of 3394/683, 4267/154
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3394/683, 4267/154 i.e 1/105182 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3394/683, 4267/154.
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 3394/683,4267/154?
Given fractions are 3394/683,4267/154
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 3394/683,4267/154, numerators are 3394,4267
Denominators are 683,154
The GCF of 3394,4267 is 1 .
LCM of 683,154 is 105182.
The greatest common factor of 3394/683,4267/154 = [GCF of 3394,4267]/[LCM of 683,154]= 1/105182
Therefore, the GCF of 3394/683,4267/154 is 1/105182.
To find the highest common factor of 3394,4267, we have to find the factors of both numbers and list the highest common factor.
The factors of 3394 are 1, 2, 1697, 3394
The factors of 4267 are 1, 17, 251, 4267
The HCF of 3394,4267 is 1.
Lets's calculate GCF of 3394,4267
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3394,4267 By Matching Biggest Common Factor Method
Now, list down the factors of 3394
:1,2,1697,3394
Now, list down the factors of 4267
:1,17,251,4267
Greatest Common Factor
We found the factors 3394,4267 . The biggest common factor number is the GCF number.
So the greatest common factor 3394,4267 is 1.
Lets's calculate LCM of 683,154
Given numbers has no common factors except 1. So, there LCM is their product i.e 105182
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/105182
Therefore, the GCF of Fractions 3394/683,4267/154 is 1/105182
Least Common Multiple of 683,154 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 683,154 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(683,154) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(683,154) x common factors =1 x 1 = 1
LCM(683,154) = ( 683 × 154 ) / 1
LCM(683,154) = 105182 / 1
LCM(683,154) = 105182
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FAQs on GCF of Fractions of 3394/683, 4267/154
1. What is the HCF of 3394,4267?
The HCF of 3394,4267 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 3394/683, 4267/154?
Answer: GCF of Numerators as per given numbers 3394/683, 4267/154 is
GCF of Numerators i.e. for 3394,4267 is 1
LCM of denominators i.e. for 683,154 is 105182.
Thus, GCF of Fractions is 1/105182.Finally, GCF of Fractions for 3394/683, 4267/154 is 1/105182.