GCF of 6769/78, 8850/209
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6769/78, 8850/209 i.e 1/16302 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6769/78, 8850/209.
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 6769/78,8850/209?
Given fractions are 6769/78,8850/209
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 6769/78,8850/209, numerators are 6769,8850
Denominators are 78,209
The GCF of 6769,8850 is 1 .
LCM of 78,209 is 16302.
The greatest common factor of 6769/78,8850/209 = [GCF of 6769,8850]/[LCM of 78,209]= 1/16302
Therefore, the GCF of 6769/78,8850/209 is 1/16302.
To find the highest common factor of 6769,8850, we have to find the factors of both numbers and list the highest common factor.
The factors of 6769 are 1, 7, 967, 6769
The factors of 8850 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 59, 75, 118, 150, 177, 295, 354, 590, 885, 1475, 1770, 2950, 4425, 8850
The HCF of 6769,8850 is 1.
Lets's calculate GCF of 6769,8850
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6769,8850 By Matching Biggest Common Factor Method
Now, list down the factors of 6769
:1,7,967,6769
Now, list down the factors of 8850
:1,2,3,5,6,10,15,25,30,50,59,75,118,150,177,295,354,590,885,1475,1770,2950,4425,8850
Greatest Common Factor
We found the factors 6769,8850 . The biggest common factor number is the GCF number.
So the greatest common factor 6769,8850 is 1.
Lets's calculate LCM of 78,209
Given numbers has no common factors except 1. So, there LCM is their product i.e 16302
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16302
Therefore, the GCF of Fractions 6769/78,8850/209 is 1/16302
Least Common Multiple of 78,209 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 78,209 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(78,209) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(78,209) x common factors =1 x 1 = 1
LCM(78,209) = ( 78 × 209 ) / 1
LCM(78,209) = 16302 / 1
LCM(78,209) = 16302
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FAQs on GCF of Fractions of 6769/78, 8850/209
1. What is the HCF of 6769,8850?
The HCF of 6769,8850 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 6769/78, 8850/209?
Answer: GCF of Numerators as per given numbers 6769/78, 8850/209 is
GCF of Numerators i.e. for 6769,8850 is 1
LCM of denominators i.e. for 78,209 is 16302.
Thus, GCF of Fractions is 1/16302.Finally, GCF of Fractions for 6769/78, 8850/209 is 1/16302.