GCF of 6969/403, 1034/5548
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6969/403, 1034/5548 i.e 1/2235844 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6969/403, 1034/5548.
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 6969/403,1034/5548?
Given fractions are 6969/403,1034/5548
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 6969/403,1034/5548, numerators are 6969,1034
Denominators are 403,5548
The GCF of 6969,1034 is 1 .
LCM of 403,5548 is 2235844.
The greatest common factor of 6969/403,1034/5548 = [GCF of 6969,1034]/[LCM of 403,5548]= 1/2235844
Therefore, the GCF of 6969/403,1034/5548 is 1/2235844.
To find the highest common factor of 6969,1034, we have to find the factors of both numbers and list the highest common factor.
The factors of 6969 are 1, 3, 23, 69, 101, 303, 2323, 6969
The factors of 1034 are 1, 2, 11, 22, 47, 94, 517, 1034
The HCF of 6969,1034 is 1.
Lets's calculate GCF of 6969,1034
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6969,1034 By Matching Biggest Common Factor Method
Now, list down the factors of 6969
:1,3,23,69,101,303,2323,6969
Now, list down the factors of 1034
:1,2,11,22,47,94,517,1034
Greatest Common Factor
We found the factors 6969,1034 . The biggest common factor number is the GCF number.
So the greatest common factor 6969,1034 is 1.
Lets's calculate LCM of 403,5548
Given numbers has no common factors except 1. So, there LCM is their product i.e 2235844
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2235844
Therefore, the GCF of Fractions 6969/403,1034/5548 is 1/2235844
Least Common Multiple of 403,5548 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 403,5548 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(403,5548) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(403,5548) x common factors =1 x 1 = 1
LCM(403,5548) = ( 403 × 5548 ) / 1
LCM(403,5548) = 2235844 / 1
LCM(403,5548) = 2235844
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FAQs on GCF of Fractions of 6969/403, 1034/5548
1. What is the HCF of 6969,1034?
The HCF of 6969,1034 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 6969/403, 1034/5548?
Answer: GCF of Numerators as per given numbers 6969/403, 1034/5548 is
GCF of Numerators i.e. for 6969,1034 is 1
LCM of denominators i.e. for 403,5548 is 2235844.
Thus, GCF of Fractions is 1/2235844.Finally, GCF of Fractions for 6969/403, 1034/5548 is 1/2235844.