GCF of 921/53, 397/38, 749/31
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 921/53, 397/38, 749/31 i.e 1/62434 easily. The following is the detailed procedure to determine the greatest common factor of fractions 921/53, 397/38, 749/31.
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 921/53,397/38,749/31?
Given fractions are 921/53,397/38,749/31
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 921/53,397/38,749/31, numerators are 921,397,749
Denominators are 53,38,31
The GCF of 921,397,749 is 1 .
LCM of 53,38,31 is 62434.
The greatest common factor of 921/53,397/38,749/31 = [GCF of 921,397,749]/[LCM of 53,38,31]= 1/62434
Therefore, the GCF of 921/53,397/38,749/31 is 1/62434.
To find the highest common factor of 921,397,749, we have to find the factors of both numbers and list the highest common factor.
The factors of 921 are 1, 3, 307, 921
The factors of 397 are 1, 397
The factors of 749 are 1, 7, 107, 749
The HCF of 921,397,749 is 1.
Lets's calculate GCF of 921,397,749
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 921,397,749 By Matching Biggest Common Factor Method
Now, list down the factors of 921
:1,3,307,921
Now, list down the factors of 397
:1,397
Now, list down the factors of 749
:1,7,107,749
Greatest Common Factor
We found the factors 921,397,749 . The biggest common factor number is the GCF number.
So the greatest common factor 921,397,749 is 1.
Lets's calculate LCM of 53,38,31
Given numbers has no common factors except 1. So, there LCM is their product i.e 62434
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/62434
Therefore, the GCF of Fractions 921/53,397/38,749/31 is 1/62434
Least Common Multiple of 53,38,31 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 53,38,31 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(53,38,31) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(53,38,31) x common factors =1 x 1 = 1
LCM(53,38,31) = ( 53 × 38 × 31 ) / 1
LCM(53,38,31) = 62434 / 1
LCM(53,38,31) = 62434
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 921/53, 397/38, 749/31
1. What is the HCF of 921,397,749?
The HCF of 921,397,749 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 921/53, 397/38, 749/31?
Answer: GCF of Numerators as per given numbers 921/53, 397/38, 749/31 is
GCF of Numerators i.e. for 921,397,749 is 1
LCM of denominators i.e. for 53,38,31 is 62434.
Thus, GCF of Fractions is 1/62434.Finally, GCF of Fractions for 921/53, 397/38, 749/31 is 1/62434.