GCF of 4922/721, 9821/900
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4922/721, 9821/900 i.e 23/648900 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4922/721, 9821/900.
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 4922/721,9821/900?
Given fractions are 4922/721,9821/900
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 4922/721,9821/900, numerators are 4922,9821
Denominators are 721,900
The GCF of 4922,9821 is 23 .
LCM of 721,900 is 648900.
The greatest common factor of 4922/721,9821/900 = [GCF of 4922,9821]/[LCM of 721,900]= 23/648900
Therefore, the GCF of 4922/721,9821/900 is 23/648900.
To find the highest common factor of 4922,9821, we have to find the factors of both numbers and list the highest common factor.
The factors of 4922 are 1, 2, 23, 46, 107, 214, 2461, 4922
The factors of 9821 are 1, 7, 23, 61, 161, 427, 1403, 9821
The HCF of 4922,9821 is 23.
Lets's calculate GCF of 4922,9821
| 23 | 4922, 9821 |
| 214, 427 |
∴ So the GCF of the given numbers is 23 = 23
Greatest Common Factor of 4922,9821 By Matching Biggest Common Factor Method
Now, list down the factors of 4922
:1,2,23,46,107,214,2461,4922
Now, list down the factors of 9821
:1,7,23,61,161,427,1403,9821
Greatest Common Factor
We found the factors 4922,9821 . The biggest common factor number is the GCF number.
So the greatest common factor 4922,9821 is 23.
Lets's calculate LCM of 721,900
Given numbers has no common factors except 1. So, there LCM is their product i.e 648900
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/648900
Therefore, the GCF of Fractions 4922/721,9821/900 is 23/648900
Least Common Multiple of 721,900 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 721,900 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(721,900) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(721,900) x common factors =1 x 1 = 1
LCM(721,900) = ( 721 × 900 ) / 1
LCM(721,900) = 648900 / 1
LCM(721,900) = 648900
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FAQs on GCF of Fractions of 4922/721, 9821/900
1. What is the HCF of 4922,9821?
The HCF of 4922,9821 is 23
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 4922/721, 9821/900?
Answer: GCF of Numerators as per given numbers 4922/721, 9821/900 is
GCF of Numerators i.e. for 4922,9821 is 23
LCM of denominators i.e. for 721,900 is 648900.
Thus, GCF of Fractions is 23/648900.Finally, GCF of Fractions for 4922/721, 9821/900 is 23/648900.