GCF of 9821/656, 4898/945
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9821/656, 4898/945 i.e 1/619920 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9821/656, 4898/945.
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 9821/656,4898/945?
Given fractions are 9821/656,4898/945
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 9821/656,4898/945, numerators are 9821,4898
Denominators are 656,945
The GCF of 9821,4898 is 1 .
LCM of 656,945 is 619920.
The greatest common factor of 9821/656,4898/945 = [GCF of 9821,4898]/[LCM of 656,945]= 1/619920
Therefore, the GCF of 9821/656,4898/945 is 1/619920.
To find the highest common factor of 9821,4898, we have to find the factors of both numbers and list the highest common factor.
The factors of 9821 are 1, 7, 23, 61, 161, 427, 1403, 9821
The factors of 4898 are 1, 2, 31, 62, 79, 158, 2449, 4898
The HCF of 9821,4898 is 1.
Lets's calculate GCF of 9821,4898
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9821,4898 By Matching Biggest Common Factor Method
Now, list down the factors of 9821
:1,7,23,61,161,427,1403,9821
Now, list down the factors of 4898
:1,2,31,62,79,158,2449,4898
Greatest Common Factor
We found the factors 9821,4898 . The biggest common factor number is the GCF number.
So the greatest common factor 9821,4898 is 1.
Lets's calculate LCM of 656,945
Given numbers has no common factors except 1. So, there LCM is their product i.e 619920
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/619920
Therefore, the GCF of Fractions 9821/656,4898/945 is 1/619920
Least Common Multiple of 656,945 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 656,945 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(656,945) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(656,945) x common factors =1 x 1 = 1
LCM(656,945) = ( 656 × 945 ) / 1
LCM(656,945) = 619920 / 1
LCM(656,945) = 619920
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FAQs on GCF of Fractions of 9821/656, 4898/945
1. What is the HCF of 9821,4898?
The HCF of 9821,4898 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 9821/656, 4898/945?
Answer: GCF of Numerators as per given numbers 9821/656, 4898/945 is
GCF of Numerators i.e. for 9821,4898 is 1
LCM of denominators i.e. for 656,945 is 619920.
Thus, GCF of Fractions is 1/619920.Finally, GCF of Fractions for 9821/656, 4898/945 is 1/619920.