GCF of 6689/781, 3548/1174
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6689/781, 3548/1174 i.e 1/916894 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6689/781, 3548/1174.
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 6689/781,3548/1174?
Given fractions are 6689/781,3548/1174
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 6689/781,3548/1174, numerators are 6689,3548
Denominators are 781,1174
The GCF of 6689,3548 is 1 .
LCM of 781,1174 is 916894.
The greatest common factor of 6689/781,3548/1174 = [GCF of 6689,3548]/[LCM of 781,1174]= 1/916894
Therefore, the GCF of 6689/781,3548/1174 is 1/916894.
To find the highest common factor of 6689,3548, we have to find the factors of both numbers and list the highest common factor.
The factors of 6689 are 1, 6689
The factors of 3548 are 1, 2, 4, 887, 1774, 3548
The HCF of 6689,3548 is 1.
Lets's calculate GCF of 6689,3548
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6689,3548 By Matching Biggest Common Factor Method
Now, list down the factors of 6689
:1,6689
Now, list down the factors of 3548
:1,2,4,887,1774,3548
Greatest Common Factor
We found the factors 6689,3548 . The biggest common factor number is the GCF number.
So the greatest common factor 6689,3548 is 1.
Lets's calculate LCM of 781,1174
Given numbers has no common factors except 1. So, there LCM is their product i.e 916894
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/916894
Therefore, the GCF of Fractions 6689/781,3548/1174 is 1/916894
Least Common Multiple of 781,1174 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 781,1174 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(781,1174) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(781,1174) x common factors =1 x 1 = 1
LCM(781,1174) = ( 781 × 1174 ) / 1
LCM(781,1174) = 916894 / 1
LCM(781,1174) = 916894
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FAQs on GCF of Fractions of 6689/781, 3548/1174
1. What is the HCF of 6689,3548?
The HCF of 6689,3548 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 6689/781, 3548/1174?
Answer: GCF of Numerators as per given numbers 6689/781, 3548/1174 is
GCF of Numerators i.e. for 6689,3548 is 1
LCM of denominators i.e. for 781,1174 is 916894.
Thus, GCF of Fractions is 1/916894.Finally, GCF of Fractions for 6689/781, 3548/1174 is 1/916894.