GCF of 4672/941, 7821/2092
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4672/941, 7821/2092 i.e 1/1968572 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4672/941, 7821/2092.
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 4672/941,7821/2092?
Given fractions are 4672/941,7821/2092
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 4672/941,7821/2092, numerators are 4672,7821
Denominators are 941,2092
The GCF of 4672,7821 is 1 .
LCM of 941,2092 is 1968572.
The greatest common factor of 4672/941,7821/2092 = [GCF of 4672,7821]/[LCM of 941,2092]= 1/1968572
Therefore, the GCF of 4672/941,7821/2092 is 1/1968572.
To find the highest common factor of 4672,7821, we have to find the factors of both numbers and list the highest common factor.
The factors of 4672 are 1, 2, 4, 8, 16, 32, 64, 73, 146, 292, 584, 1168, 2336, 4672
The factors of 7821 are 1, 3, 9, 11, 33, 79, 99, 237, 711, 869, 2607, 7821
The HCF of 4672,7821 is 1.
Lets's calculate GCF of 4672,7821
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4672,7821 By Matching Biggest Common Factor Method
Now, list down the factors of 4672
:1,2,4,8,16,32,64,73,146,292,584,1168,2336,4672
Now, list down the factors of 7821
:1,3,9,11,33,79,99,237,711,869,2607,7821
Greatest Common Factor
We found the factors 4672,7821 . The biggest common factor number is the GCF number.
So the greatest common factor 4672,7821 is 1.
Lets's calculate LCM of 941,2092
Given numbers has no common factors except 1. So, there LCM is their product i.e 1968572
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1968572
Therefore, the GCF of Fractions 4672/941,7821/2092 is 1/1968572
Least Common Multiple of 941,2092 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 941,2092 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(941,2092) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(941,2092) x common factors =1 x 1 = 1
LCM(941,2092) = ( 941 × 2092 ) / 1
LCM(941,2092) = 1968572 / 1
LCM(941,2092) = 1968572
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FAQs on GCF of Fractions of 4672/941, 7821/2092
1. What is the HCF of 4672,7821?
The HCF of 4672,7821 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 4672/941, 7821/2092?
Answer: GCF of Numerators as per given numbers 4672/941, 7821/2092 is
GCF of Numerators i.e. for 4672,7821 is 1
LCM of denominators i.e. for 941,2092 is 1968572.
Thus, GCF of Fractions is 1/1968572.Finally, GCF of Fractions for 4672/941, 7821/2092 is 1/1968572.