GCF of 1697/127, 6044/6632
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1697/127, 6044/6632 i.e 1/842264 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1697/127, 6044/6632.
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 1697/127,6044/6632?
Given fractions are 1697/127,6044/6632
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 1697/127,6044/6632, numerators are 1697,6044
Denominators are 127,6632
The GCF of 1697,6044 is 1 .
LCM of 127,6632 is 842264.
The greatest common factor of 1697/127,6044/6632 = [GCF of 1697,6044]/[LCM of 127,6632]= 1/842264
Therefore, the GCF of 1697/127,6044/6632 is 1/842264.
To find the highest common factor of 1697,6044, we have to find the factors of both numbers and list the highest common factor.
The factors of 1697 are 1, 1697
The factors of 6044 are 1, 2, 4, 1511, 3022, 6044
The HCF of 1697,6044 is 1.
Lets's calculate GCF of 1697,6044
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1697,6044 By Matching Biggest Common Factor Method
Now, list down the factors of 1697
:1,1697
Now, list down the factors of 6044
:1,2,4,1511,3022,6044
Greatest Common Factor
We found the factors 1697,6044 . The biggest common factor number is the GCF number.
So the greatest common factor 1697,6044 is 1.
Lets's calculate LCM of 127,6632
Given numbers has no common factors except 1. So, there LCM is their product i.e 842264
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/842264
Therefore, the GCF of Fractions 1697/127,6044/6632 is 1/842264
Least Common Multiple of 127,6632 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 127,6632 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(127,6632) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(127,6632) x common factors =1 x 1 = 1
LCM(127,6632) = ( 127 × 6632 ) / 1
LCM(127,6632) = 842264 / 1
LCM(127,6632) = 842264
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FAQs on GCF of Fractions of 1697/127, 6044/6632
1. What is the HCF of 1697,6044?
The HCF of 1697,6044 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 1697/127, 6044/6632?
Answer: GCF of Numerators as per given numbers 1697/127, 6044/6632 is
GCF of Numerators i.e. for 1697,6044 is 1
LCM of denominators i.e. for 127,6632 is 842264.
Thus, GCF of Fractions is 1/842264.Finally, GCF of Fractions for 1697/127, 6044/6632 is 1/842264.