GCF of 785/371, 648/289
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 785/371, 648/289 i.e 1/107219 easily. The following is the detailed procedure to determine the greatest common factor of fractions 785/371, 648/289.
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 785/371,648/289?
Given fractions are 785/371,648/289
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 785/371,648/289, numerators are 785,648
Denominators are 371,289
The GCF of 785,648 is 1 .
LCM of 371,289 is 107219.
The greatest common factor of 785/371,648/289 = [GCF of 785,648]/[LCM of 371,289]= 1/107219
Therefore, the GCF of 785/371,648/289 is 1/107219.
To find the highest common factor of 785,648, we have to find the factors of both numbers and list the highest common factor.
The factors of 785 are 1, 5, 157, 785
The factors of 648 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
The HCF of 785,648 is 1.
Lets's calculate GCF of 785,648
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 785,648 By Matching Biggest Common Factor Method
Now, list down the factors of 785
:1,5,157,785
Now, list down the factors of 648
:1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648
Greatest Common Factor
We found the factors 785,648 . The biggest common factor number is the GCF number.
So the greatest common factor 785,648 is 1.
Lets's calculate LCM of 371,289
Given numbers has no common factors except 1. So, there LCM is their product i.e 107219
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/107219
Therefore, the GCF of Fractions 785/371,648/289 is 1/107219
Least Common Multiple of 371,289 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 371,289 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(371,289) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(371,289) x common factors =1 x 1 = 1
LCM(371,289) = ( 371 × 289 ) / 1
LCM(371,289) = 107219 / 1
LCM(371,289) = 107219
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FAQs on GCF of Fractions of 785/371, 648/289
1. What is the HCF of 785,648?
The HCF of 785,648 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 785/371, 648/289?
Answer: GCF of Numerators as per given numbers 785/371, 648/289 is
GCF of Numerators i.e. for 785,648 is 1
LCM of denominators i.e. for 371,289 is 107219.
Thus, GCF of Fractions is 1/107219.Finally, GCF of Fractions for 785/371, 648/289 is 1/107219.