GCF of 4364/681, 4489/8763
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4364/681, 4489/8763 i.e 1/1989201 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4364/681, 4489/8763.
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 4364/681,4489/8763?
Given fractions are 4364/681,4489/8763
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 4364/681,4489/8763, numerators are 4364,4489
Denominators are 681,8763
The GCF of 4364,4489 is 1 .
LCM of 681,8763 is 1989201.
The greatest common factor of 4364/681,4489/8763 = [GCF of 4364,4489]/[LCM of 681,8763]= 1/1989201
Therefore, the GCF of 4364/681,4489/8763 is 1/1989201.
To find the highest common factor of 4364,4489, we have to find the factors of both numbers and list the highest common factor.
The factors of 4364 are 1, 2, 4, 1091, 2182, 4364
The factors of 4489 are 1, 67, 4489
The HCF of 4364,4489 is 1.
Lets's calculate GCF of 4364,4489
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4364,4489 By Matching Biggest Common Factor Method
Now, list down the factors of 4364
:1,2,4,1091,2182,4364
Now, list down the factors of 4489
:1,67,4489
Greatest Common Factor
We found the factors 4364,4489 . The biggest common factor number is the GCF number.
So the greatest common factor 4364,4489 is 1.
Lets's calculate LCM of 681,8763
| 3 | 681, 8763 |
| 227, 2921 |
∴ So the LCM of the given numbers is 3 x 227 x 2921 = 1989201
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1989201
Therefore, the GCF of Fractions 4364/681,4489/8763 is 1/1989201
Least Common Multiple of 681,8763 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 681,8763 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(681,8763) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(681,8763) x common factors =3 x 1 = 3
LCM(681,8763) = ( 681 × 8763 ) / 3
LCM(681,8763) = 5967603 / 3
LCM(681,8763) = 1989201
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FAQs on GCF of Fractions of 4364/681, 4489/8763
1. What is the HCF of 4364,4489?
The HCF of 4364,4489 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 4364/681, 4489/8763?
Answer: GCF of Numerators as per given numbers 4364/681, 4489/8763 is
GCF of Numerators i.e. for 4364,4489 is 1
LCM of denominators i.e. for 681,8763 is 1989201.
Thus, GCF of Fractions is 1/1989201.Finally, GCF of Fractions for 4364/681, 4489/8763 is 1/1989201.