GCF of 3493/623, 6754/2767
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3493/623, 6754/2767 i.e 1/1723841 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3493/623, 6754/2767.
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 3493/623,6754/2767?
Given fractions are 3493/623,6754/2767
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 3493/623,6754/2767, numerators are 3493,6754
Denominators are 623,2767
The GCF of 3493,6754 is 1 .
LCM of 623,2767 is 1723841.
The greatest common factor of 3493/623,6754/2767 = [GCF of 3493,6754]/[LCM of 623,2767]= 1/1723841
Therefore, the GCF of 3493/623,6754/2767 is 1/1723841.
To find the highest common factor of 3493,6754, we have to find the factors of both numbers and list the highest common factor.
The factors of 3493 are 1, 7, 499, 3493
The factors of 6754 are 1, 2, 11, 22, 307, 614, 3377, 6754
The HCF of 3493,6754 is 1.
Lets's calculate GCF of 3493,6754
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3493,6754 By Matching Biggest Common Factor Method
Now, list down the factors of 3493
:1,7,499,3493
Now, list down the factors of 6754
:1,2,11,22,307,614,3377,6754
Greatest Common Factor
We found the factors 3493,6754 . The biggest common factor number is the GCF number.
So the greatest common factor 3493,6754 is 1.
Lets's calculate LCM of 623,2767
Given numbers has no common factors except 1. So, there LCM is their product i.e 1723841
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1723841
Therefore, the GCF of Fractions 3493/623,6754/2767 is 1/1723841
Least Common Multiple of 623,2767 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 623,2767 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(623,2767) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(623,2767) x common factors =1 x 1 = 1
LCM(623,2767) = ( 623 × 2767 ) / 1
LCM(623,2767) = 1723841 / 1
LCM(623,2767) = 1723841
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FAQs on GCF of Fractions of 3493/623, 6754/2767
1. What is the HCF of 3493,6754?
The HCF of 3493,6754 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 3493/623, 6754/2767?
Answer: GCF of Numerators as per given numbers 3493/623, 6754/2767 is
GCF of Numerators i.e. for 3493,6754 is 1
LCM of denominators i.e. for 623,2767 is 1723841.
Thus, GCF of Fractions is 1/1723841.Finally, GCF of Fractions for 3493/623, 6754/2767 is 1/1723841.