GCF of 391/140, 347/773
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 391/140, 347/773 i.e 1/108220 easily. The following is the detailed procedure to determine the greatest common factor of fractions 391/140, 347/773.
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 391/140,347/773?
Given fractions are 391/140,347/773
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 391/140,347/773, numerators are 391,347
Denominators are 140,773
The GCF of 391,347 is 1 .
LCM of 140,773 is 108220.
The greatest common factor of 391/140,347/773 = [GCF of 391,347]/[LCM of 140,773]= 1/108220
Therefore, the GCF of 391/140,347/773 is 1/108220.
To find the highest common factor of 391,347, we have to find the factors of both numbers and list the highest common factor.
The factors of 391 are 1, 17, 23, 391
The factors of 347 are 1, 347
The HCF of 391,347 is 1.
Lets's calculate GCF of 391,347
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 391,347 By Matching Biggest Common Factor Method
Now, list down the factors of 391
:1,17,23,391
Now, list down the factors of 347
:1,347
Greatest Common Factor
We found the factors 391,347 . The biggest common factor number is the GCF number.
So the greatest common factor 391,347 is 1.
Lets's calculate LCM of 140,773
Given numbers has no common factors except 1. So, there LCM is their product i.e 108220
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/108220
Therefore, the GCF of Fractions 391/140,347/773 is 1/108220
Least Common Multiple of 140,773 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 140,773 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(140,773) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(140,773) x common factors =1 x 1 = 1
LCM(140,773) = ( 140 × 773 ) / 1
LCM(140,773) = 108220 / 1
LCM(140,773) = 108220
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 391/140, 347/773
1. What is the HCF of 391,347?
The HCF of 391,347 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 391/140, 347/773?
Answer: GCF of Numerators as per given numbers 391/140, 347/773 is
GCF of Numerators i.e. for 391,347 is 1
LCM of denominators i.e. for 140,773 is 108220.
Thus, GCF of Fractions is 1/108220.Finally, GCF of Fractions for 391/140, 347/773 is 1/108220.