GCF of 6965/657, 3661/1018
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6965/657, 3661/1018 i.e 7/668826 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6965/657, 3661/1018.
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 6965/657,3661/1018?
Given fractions are 6965/657,3661/1018
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 6965/657,3661/1018, numerators are 6965,3661
Denominators are 657,1018
The GCF of 6965,3661 is 7 .
LCM of 657,1018 is 668826.
The greatest common factor of 6965/657,3661/1018 = [GCF of 6965,3661]/[LCM of 657,1018]= 7/668826
Therefore, the GCF of 6965/657,3661/1018 is 7/668826.
To find the highest common factor of 6965,3661, we have to find the factors of both numbers and list the highest common factor.
The factors of 6965 are 1, 5, 7, 35, 199, 995, 1393, 6965
The factors of 3661 are 1, 7, 523, 3661
The HCF of 6965,3661 is 7.
Lets's calculate GCF of 6965,3661
| 7 | 6965, 3661 |
| 995, 523 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 6965,3661 By Matching Biggest Common Factor Method
Now, list down the factors of 6965
:1,5,7,35,199,995,1393,6965
Now, list down the factors of 3661
:1,7,523,3661
Greatest Common Factor
We found the factors 6965,3661 . The biggest common factor number is the GCF number.
So the greatest common factor 6965,3661 is 7.
Lets's calculate LCM of 657,1018
Given numbers has no common factors except 1. So, there LCM is their product i.e 668826
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/668826
Therefore, the GCF of Fractions 6965/657,3661/1018 is 7/668826
Least Common Multiple of 657,1018 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 657,1018 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(657,1018) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(657,1018) x common factors =1 x 1 = 1
LCM(657,1018) = ( 657 × 1018 ) / 1
LCM(657,1018) = 668826 / 1
LCM(657,1018) = 668826
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FAQs on GCF of Fractions of 6965/657, 3661/1018
1. What is the HCF of 6965,3661?
The HCF of 6965,3661 is 7
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 6965/657, 3661/1018?
Answer: GCF of Numerators as per given numbers 6965/657, 3661/1018 is
GCF of Numerators i.e. for 6965,3661 is 7
LCM of denominators i.e. for 657,1018 is 668826.
Thus, GCF of Fractions is 7/668826.Finally, GCF of Fractions for 6965/657, 3661/1018 is 7/668826.