GCF of 1412/731, 8045/7779
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1412/731, 8045/7779 i.e 1/5686449 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1412/731, 8045/7779.
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 1412/731,8045/7779?
Given fractions are 1412/731,8045/7779
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 1412/731,8045/7779, numerators are 1412,8045
Denominators are 731,7779
The GCF of 1412,8045 is 1 .
LCM of 731,7779 is 5686449.
The greatest common factor of 1412/731,8045/7779 = [GCF of 1412,8045]/[LCM of 731,7779]= 1/5686449
Therefore, the GCF of 1412/731,8045/7779 is 1/5686449.
To find the highest common factor of 1412,8045, we have to find the factors of both numbers and list the highest common factor.
The factors of 1412 are 1, 2, 4, 353, 706, 1412
The factors of 8045 are 1, 5, 1609, 8045
The HCF of 1412,8045 is 1.
Lets's calculate GCF of 1412,8045
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1412,8045 By Matching Biggest Common Factor Method
Now, list down the factors of 1412
:1,2,4,353,706,1412
Now, list down the factors of 8045
:1,5,1609,8045
Greatest Common Factor
We found the factors 1412,8045 . The biggest common factor number is the GCF number.
So the greatest common factor 1412,8045 is 1.
Lets's calculate LCM of 731,7779
Given numbers has no common factors except 1. So, there LCM is their product i.e 5686449
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5686449
Therefore, the GCF of Fractions 1412/731,8045/7779 is 1/5686449
Least Common Multiple of 731,7779 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 731,7779 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(731,7779) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(731,7779) x common factors =1 x 1 = 1
LCM(731,7779) = ( 731 × 7779 ) / 1
LCM(731,7779) = 5686449 / 1
LCM(731,7779) = 5686449
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 1412/731, 8045/7779
1. What is the HCF of 1412,8045?
The HCF of 1412,8045 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 1412/731, 8045/7779?
Answer: GCF of Numerators as per given numbers 1412/731, 8045/7779 is
GCF of Numerators i.e. for 1412,8045 is 1
LCM of denominators i.e. for 731,7779 is 5686449.
Thus, GCF of Fractions is 1/5686449.Finally, GCF of Fractions for 1412/731, 8045/7779 is 1/5686449.