GCF of 6787/512, 7211/209
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6787/512, 7211/209 i.e 1/107008 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6787/512, 7211/209.
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 6787/512,7211/209?
Given fractions are 6787/512,7211/209
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 6787/512,7211/209, numerators are 6787,7211
Denominators are 512,209
The GCF of 6787,7211 is 1 .
LCM of 512,209 is 107008.
The greatest common factor of 6787/512,7211/209 = [GCF of 6787,7211]/[LCM of 512,209]= 1/107008
Therefore, the GCF of 6787/512,7211/209 is 1/107008.
To find the highest common factor of 6787,7211, we have to find the factors of both numbers and list the highest common factor.
The factors of 6787 are 1, 11, 617, 6787
The factors of 7211 are 1, 7211
The HCF of 6787,7211 is 1.
Lets's calculate GCF of 6787,7211
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6787,7211 By Matching Biggest Common Factor Method
Now, list down the factors of 6787
:1,11,617,6787
Now, list down the factors of 7211
:1,7211
Greatest Common Factor
We found the factors 6787,7211 . The biggest common factor number is the GCF number.
So the greatest common factor 6787,7211 is 1.
Lets's calculate LCM of 512,209
Given numbers has no common factors except 1. So, there LCM is their product i.e 107008
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/107008
Therefore, the GCF of Fractions 6787/512,7211/209 is 1/107008
Least Common Multiple of 512,209 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 512,209 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(512,209) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(512,209) x common factors =1 x 1 = 1
LCM(512,209) = ( 512 × 209 ) / 1
LCM(512,209) = 107008 / 1
LCM(512,209) = 107008
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FAQs on GCF of Fractions of 6787/512, 7211/209
1. What is the HCF of 6787,7211?
The HCF of 6787,7211 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 6787/512, 7211/209?
Answer: GCF of Numerators as per given numbers 6787/512, 7211/209 is
GCF of Numerators i.e. for 6787,7211 is 1
LCM of denominators i.e. for 512,209 is 107008.
Thus, GCF of Fractions is 1/107008.Finally, GCF of Fractions for 6787/512, 7211/209 is 1/107008.