GCF of 4747/923, 8989/6518
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4747/923, 8989/6518 i.e 101/6016114 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4747/923, 8989/6518.
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 4747/923,8989/6518?
Given fractions are 4747/923,8989/6518
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 4747/923,8989/6518, numerators are 4747,8989
Denominators are 923,6518
The GCF of 4747,8989 is 101 .
LCM of 923,6518 is 6016114.
The greatest common factor of 4747/923,8989/6518 = [GCF of 4747,8989]/[LCM of 923,6518]= 101/6016114
Therefore, the GCF of 4747/923,8989/6518 is 101/6016114.
To find the highest common factor of 4747,8989, we have to find the factors of both numbers and list the highest common factor.
The factors of 4747 are 1, 47, 101, 4747
The factors of 8989 are 1, 89, 101, 8989
The HCF of 4747,8989 is 101.
Lets's calculate GCF of 4747,8989
| 101 | 4747, 8989 |
| 47, 89 |
∴ So the GCF of the given numbers is 101 = 101
Greatest Common Factor of 4747,8989 By Matching Biggest Common Factor Method
Now, list down the factors of 4747
:1,47,101,4747
Now, list down the factors of 8989
:1,89,101,8989
Greatest Common Factor
We found the factors 4747,8989 . The biggest common factor number is the GCF number.
So the greatest common factor 4747,8989 is 101.
Lets's calculate LCM of 923,6518
Given numbers has no common factors except 1. So, there LCM is their product i.e 6016114
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 101/6016114
Therefore, the GCF of Fractions 4747/923,8989/6518 is 101/6016114
Least Common Multiple of 923,6518 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 923,6518 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(923,6518) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(923,6518) x common factors =1 x 1 = 1
LCM(923,6518) = ( 923 × 6518 ) / 1
LCM(923,6518) = 6016114 / 1
LCM(923,6518) = 6016114
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FAQs on GCF of Fractions of 4747/923, 8989/6518
1. What is the HCF of 4747,8989?
The HCF of 4747,8989 is 101
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 4747/923, 8989/6518?
Answer: GCF of Numerators as per given numbers 4747/923, 8989/6518 is
GCF of Numerators i.e. for 4747,8989 is 101
LCM of denominators i.e. for 923,6518 is 6016114.
Thus, GCF of Fractions is 101/6016114.Finally, GCF of Fractions for 4747/923, 8989/6518 is 101/6016114.