GCF of 6645/677, 7322/2084
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6645/677, 7322/2084 i.e 1/1410868 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6645/677, 7322/2084.
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 6645/677,7322/2084?
Given fractions are 6645/677,7322/2084
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 6645/677,7322/2084, numerators are 6645,7322
Denominators are 677,2084
The GCF of 6645,7322 is 1 .
LCM of 677,2084 is 1410868.
The greatest common factor of 6645/677,7322/2084 = [GCF of 6645,7322]/[LCM of 677,2084]= 1/1410868
Therefore, the GCF of 6645/677,7322/2084 is 1/1410868.
To find the highest common factor of 6645,7322, we have to find the factors of both numbers and list the highest common factor.
The factors of 6645 are 1, 3, 5, 15, 443, 1329, 2215, 6645
The factors of 7322 are 1, 2, 7, 14, 523, 1046, 3661, 7322
The HCF of 6645,7322 is 1.
Lets's calculate GCF of 6645,7322
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6645,7322 By Matching Biggest Common Factor Method
Now, list down the factors of 6645
:1,3,5,15,443,1329,2215,6645
Now, list down the factors of 7322
:1,2,7,14,523,1046,3661,7322
Greatest Common Factor
We found the factors 6645,7322 . The biggest common factor number is the GCF number.
So the greatest common factor 6645,7322 is 1.
Lets's calculate LCM of 677,2084
Given numbers has no common factors except 1. So, there LCM is their product i.e 1410868
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1410868
Therefore, the GCF of Fractions 6645/677,7322/2084 is 1/1410868
Least Common Multiple of 677,2084 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 677,2084 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(677,2084) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(677,2084) x common factors =1 x 1 = 1
LCM(677,2084) = ( 677 × 2084 ) / 1
LCM(677,2084) = 1410868 / 1
LCM(677,2084) = 1410868
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FAQs on GCF of Fractions of 6645/677, 7322/2084
1. What is the HCF of 6645,7322?
The HCF of 6645,7322 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 6645/677, 7322/2084?
Answer: GCF of Numerators as per given numbers 6645/677, 7322/2084 is
GCF of Numerators i.e. for 6645,7322 is 1
LCM of denominators i.e. for 677,2084 is 1410868.
Thus, GCF of Fractions is 1/1410868.Finally, GCF of Fractions for 6645/677, 7322/2084 is 1/1410868.