GCF of 921/84, 460/3709
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 921/84, 460/3709 i.e 1/311556 easily. The following is the detailed procedure to determine the greatest common factor of fractions 921/84, 460/3709.
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 921/84,460/3709?
Given fractions are 921/84,460/3709
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 921/84,460/3709, numerators are 921,460
Denominators are 84,3709
The GCF of 921,460 is 1 .
LCM of 84,3709 is 311556.
The greatest common factor of 921/84,460/3709 = [GCF of 921,460]/[LCM of 84,3709]= 1/311556
Therefore, the GCF of 921/84,460/3709 is 1/311556.
To find the highest common factor of 921,460, 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 460 are 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
The HCF of 921,460 is 1.
Lets's calculate GCF of 921,460
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 921,460 By Matching Biggest Common Factor Method
Now, list down the factors of 921
:1,3,307,921
Now, list down the factors of 460
:1,2,4,5,10,20,23,46,92,115,230,460
Greatest Common Factor
We found the factors 921,460 . The biggest common factor number is the GCF number.
So the greatest common factor 921,460 is 1.
Lets's calculate LCM of 84,3709
Given numbers has no common factors except 1. So, there LCM is their product i.e 311556
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/311556
Therefore, the GCF of Fractions 921/84,460/3709 is 1/311556
Least Common Multiple of 84,3709 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 84,3709 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(84,3709) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(84,3709) x common factors =1 x 1 = 1
LCM(84,3709) = ( 84 × 3709 ) / 1
LCM(84,3709) = 311556 / 1
LCM(84,3709) = 311556
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FAQs on GCF of Fractions of 921/84, 460/3709
1. What is the HCF of 921,460?
The HCF of 921,460 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 921/84, 460/3709?
Answer: GCF of Numerators as per given numbers 921/84, 460/3709 is
GCF of Numerators i.e. for 921,460 is 1
LCM of denominators i.e. for 84,3709 is 311556.
Thus, GCF of Fractions is 1/311556.Finally, GCF of Fractions for 921/84, 460/3709 is 1/311556.