GCF of 3347/380, 6807/7777
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3347/380, 6807/7777 i.e 1/2955260 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3347/380, 6807/7777.
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 3347/380,6807/7777?
Given fractions are 3347/380,6807/7777
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 3347/380,6807/7777, numerators are 3347,6807
Denominators are 380,7777
The GCF of 3347,6807 is 1 .
LCM of 380,7777 is 2955260.
The greatest common factor of 3347/380,6807/7777 = [GCF of 3347,6807]/[LCM of 380,7777]= 1/2955260
Therefore, the GCF of 3347/380,6807/7777 is 1/2955260.
To find the highest common factor of 3347,6807, we have to find the factors of both numbers and list the highest common factor.
The factors of 3347 are 1, 3347
The factors of 6807 are 1, 3, 2269, 6807
The HCF of 3347,6807 is 1.
Lets's calculate GCF of 3347,6807
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3347,6807 By Matching Biggest Common Factor Method
Now, list down the factors of 3347
:1,3347
Now, list down the factors of 6807
:1,3,2269,6807
Greatest Common Factor
We found the factors 3347,6807 . The biggest common factor number is the GCF number.
So the greatest common factor 3347,6807 is 1.
Lets's calculate LCM of 380,7777
Given numbers has no common factors except 1. So, there LCM is their product i.e 2955260
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2955260
Therefore, the GCF of Fractions 3347/380,6807/7777 is 1/2955260
Least Common Multiple of 380,7777 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 380,7777 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(380,7777) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(380,7777) x common factors =1 x 1 = 1
LCM(380,7777) = ( 380 × 7777 ) / 1
LCM(380,7777) = 2955260 / 1
LCM(380,7777) = 2955260
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FAQs on GCF of Fractions of 3347/380, 6807/7777
1. What is the HCF of 3347,6807?
The HCF of 3347,6807 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 3347/380, 6807/7777?
Answer: GCF of Numerators as per given numbers 3347/380, 6807/7777 is
GCF of Numerators i.e. for 3347,6807 is 1
LCM of denominators i.e. for 380,7777 is 2955260.
Thus, GCF of Fractions is 1/2955260.Finally, GCF of Fractions for 3347/380, 6807/7777 is 1/2955260.