GCF of 921/39, 283/788
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 921/39, 283/788 i.e 1/30732 easily. The following is the detailed procedure to determine the greatest common factor of fractions 921/39, 283/788.
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 921/39,283/788?
Given fractions are 921/39,283/788
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 921/39,283/788, numerators are 921,283
Denominators are 39,788
The GCF of 921,283 is 1 .
LCM of 39,788 is 30732.
The greatest common factor of 921/39,283/788 = [GCF of 921,283]/[LCM of 39,788]= 1/30732
Therefore, the GCF of 921/39,283/788 is 1/30732.
To find the highest common factor of 921,283, 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 283 are 1, 283
The HCF of 921,283 is 1.
Lets's calculate GCF of 921,283
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 921,283 By Matching Biggest Common Factor Method
Now, list down the factors of 921
:1,3,307,921
Now, list down the factors of 283
:1,283
Greatest Common Factor
We found the factors 921,283 . The biggest common factor number is the GCF number.
So the greatest common factor 921,283 is 1.
Lets's calculate LCM of 39,788
Given numbers has no common factors except 1. So, there LCM is their product i.e 30732
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30732
Therefore, the GCF of Fractions 921/39,283/788 is 1/30732
Least Common Multiple of 39,788 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 39,788 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(39,788) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(39,788) x common factors =1 x 1 = 1
LCM(39,788) = ( 39 × 788 ) / 1
LCM(39,788) = 30732 / 1
LCM(39,788) = 30732
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FAQs on GCF of Fractions of 921/39, 283/788
1. What is the HCF of 921,283?
The HCF of 921,283 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 921/39, 283/788?
Answer: GCF of Numerators as per given numbers 921/39, 283/788 is
GCF of Numerators i.e. for 921,283 is 1
LCM of denominators i.e. for 39,788 is 30732.
Thus, GCF of Fractions is 1/30732.Finally, GCF of Fractions for 921/39, 283/788 is 1/30732.