GCF of 769/292, 666/301
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 769/292, 666/301 i.e 1/87892 easily. The following is the detailed procedure to determine the greatest common factor of fractions 769/292, 666/301.
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 769/292,666/301?
Given fractions are 769/292,666/301
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 769/292,666/301, numerators are 769,666
Denominators are 292,301
The GCF of 769,666 is 1 .
LCM of 292,301 is 87892.
The greatest common factor of 769/292,666/301 = [GCF of 769,666]/[LCM of 292,301]= 1/87892
Therefore, the GCF of 769/292,666/301 is 1/87892.
To find the highest common factor of 769,666, we have to find the factors of both numbers and list the highest common factor.
The factors of 769 are 1, 769
The factors of 666 are 1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666
The HCF of 769,666 is 1.
Lets's calculate GCF of 769,666
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 769,666 By Matching Biggest Common Factor Method
Now, list down the factors of 769
:1,769
Now, list down the factors of 666
:1,2,3,6,9,18,37,74,111,222,333,666
Greatest Common Factor
We found the factors 769,666 . The biggest common factor number is the GCF number.
So the greatest common factor 769,666 is 1.
Lets's calculate LCM of 292,301
Given numbers has no common factors except 1. So, there LCM is their product i.e 87892
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/87892
Therefore, the GCF of Fractions 769/292,666/301 is 1/87892
Least Common Multiple of 292,301 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 292,301 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(292,301) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(292,301) x common factors =1 x 1 = 1
LCM(292,301) = ( 292 × 301 ) / 1
LCM(292,301) = 87892 / 1
LCM(292,301) = 87892
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FAQs on GCF of Fractions of 769/292, 666/301
1. What is the HCF of 769,666?
The HCF of 769,666 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 769/292, 666/301?
Answer: GCF of Numerators as per given numbers 769/292, 666/301 is
GCF of Numerators i.e. for 769,666 is 1
LCM of denominators i.e. for 292,301 is 87892.
Thus, GCF of Fractions is 1/87892.Finally, GCF of Fractions for 769/292, 666/301 is 1/87892.