GCF of 296/943, 3211/871
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 296/943, 3211/871 i.e 1/821353 easily. The following is the detailed procedure to determine the greatest common factor of fractions 296/943, 3211/871.
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 296/943,3211/871?
Given fractions are 296/943,3211/871
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 296/943,3211/871, numerators are 296,3211
Denominators are 943,871
The GCF of 296,3211 is 1 .
LCM of 943,871 is 821353.
The greatest common factor of 296/943,3211/871 = [GCF of 296,3211]/[LCM of 943,871]= 1/821353
Therefore, the GCF of 296/943,3211/871 is 1/821353.
To find the highest common factor of 296,3211, we have to find the factors of both numbers and list the highest common factor.
The factors of 296 are 1, 2, 4, 8, 37, 74, 148, 296
The factors of 3211 are 1, 13, 19, 169, 247, 3211
The HCF of 296,3211 is 1.
Lets's calculate GCF of 296,3211
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 296,3211 By Matching Biggest Common Factor Method
Now, list down the factors of 296
:1,2,4,8,37,74,148,296
Now, list down the factors of 3211
:1,13,19,169,247,3211
Greatest Common Factor
We found the factors 296,3211 . The biggest common factor number is the GCF number.
So the greatest common factor 296,3211 is 1.
Lets's calculate LCM of 943,871
Given numbers has no common factors except 1. So, there LCM is their product i.e 821353
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/821353
Therefore, the GCF of Fractions 296/943,3211/871 is 1/821353
Least Common Multiple of 943,871 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 943,871 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(943,871) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(943,871) x common factors =1 x 1 = 1
LCM(943,871) = ( 943 × 871 ) / 1
LCM(943,871) = 821353 / 1
LCM(943,871) = 821353
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FAQs on GCF of Fractions of 296/943, 3211/871
1. What is the HCF of 296,3211?
The HCF of 296,3211 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 296/943, 3211/871?
Answer: GCF of Numerators as per given numbers 296/943, 3211/871 is
GCF of Numerators i.e. for 296,3211 is 1
LCM of denominators i.e. for 943,871 is 821353.
Thus, GCF of Fractions is 1/821353.Finally, GCF of Fractions for 296/943, 3211/871 is 1/821353.