GCF of 5231/951, 1332/3424
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5231/951, 1332/3424 i.e 1/3256224 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5231/951, 1332/3424.
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 5231/951,1332/3424?
Given fractions are 5231/951,1332/3424
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 5231/951,1332/3424, numerators are 5231,1332
Denominators are 951,3424
The GCF of 5231,1332 is 1 .
LCM of 951,3424 is 3256224.
The greatest common factor of 5231/951,1332/3424 = [GCF of 5231,1332]/[LCM of 951,3424]= 1/3256224
Therefore, the GCF of 5231/951,1332/3424 is 1/3256224.
To find the highest common factor of 5231,1332, we have to find the factors of both numbers and list the highest common factor.
The factors of 5231 are 1, 5231
The factors of 1332 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 37, 74, 111, 148, 222, 333, 444, 666, 1332
The HCF of 5231,1332 is 1.
Lets's calculate GCF of 5231,1332
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5231,1332 By Matching Biggest Common Factor Method
Now, list down the factors of 5231
:1,5231
Now, list down the factors of 1332
:1,2,3,4,6,9,12,18,36,37,74,111,148,222,333,444,666,1332
Greatest Common Factor
We found the factors 5231,1332 . The biggest common factor number is the GCF number.
So the greatest common factor 5231,1332 is 1.
Lets's calculate LCM of 951,3424
Given numbers has no common factors except 1. So, there LCM is their product i.e 3256224
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3256224
Therefore, the GCF of Fractions 5231/951,1332/3424 is 1/3256224
Least Common Multiple of 951,3424 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 951,3424 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(951,3424) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(951,3424) x common factors =1 x 1 = 1
LCM(951,3424) = ( 951 × 3424 ) / 1
LCM(951,3424) = 3256224 / 1
LCM(951,3424) = 3256224
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FAQs on GCF of Fractions of 5231/951, 1332/3424
1. What is the HCF of 5231,1332?
The HCF of 5231,1332 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 5231/951, 1332/3424?
Answer: GCF of Numerators as per given numbers 5231/951, 1332/3424 is
GCF of Numerators i.e. for 5231,1332 is 1
LCM of denominators i.e. for 951,3424 is 3256224.
Thus, GCF of Fractions is 1/3256224.Finally, GCF of Fractions for 5231/951, 1332/3424 is 1/3256224.