GCF of 3973/899, 6467/8125
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3973/899, 6467/8125 i.e 29/7304375 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3973/899, 6467/8125.
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 3973/899,6467/8125?
Given fractions are 3973/899,6467/8125
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 3973/899,6467/8125, numerators are 3973,6467
Denominators are 899,8125
The GCF of 3973,6467 is 29 .
LCM of 899,8125 is 7304375.
The greatest common factor of 3973/899,6467/8125 = [GCF of 3973,6467]/[LCM of 899,8125]= 29/7304375
Therefore, the GCF of 3973/899,6467/8125 is 29/7304375.
To find the highest common factor of 3973,6467, we have to find the factors of both numbers and list the highest common factor.
The factors of 3973 are 1, 29, 137, 3973
The factors of 6467 are 1, 29, 223, 6467
The HCF of 3973,6467 is 29.
Lets's calculate GCF of 3973,6467
| 29 | 3973, 6467 |
| 137, 223 |
∴ So the GCF of the given numbers is 29 = 29
Greatest Common Factor of 3973,6467 By Matching Biggest Common Factor Method
Now, list down the factors of 3973
:1,29,137,3973
Now, list down the factors of 6467
:1,29,223,6467
Greatest Common Factor
We found the factors 3973,6467 . The biggest common factor number is the GCF number.
So the greatest common factor 3973,6467 is 29.
Lets's calculate LCM of 899,8125
Given numbers has no common factors except 1. So, there LCM is their product i.e 7304375
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 29/7304375
Therefore, the GCF of Fractions 3973/899,6467/8125 is 29/7304375
Least Common Multiple of 899,8125 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 899,8125 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(899,8125) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(899,8125) x common factors =1 x 1 = 1
LCM(899,8125) = ( 899 × 8125 ) / 1
LCM(899,8125) = 7304375 / 1
LCM(899,8125) = 7304375
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FAQs on GCF of Fractions of 3973/899, 6467/8125
1. What is the HCF of 3973,6467?
The HCF of 3973,6467 is 29
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 3973/899, 6467/8125?
Answer: GCF of Numerators as per given numbers 3973/899, 6467/8125 is
GCF of Numerators i.e. for 3973,6467 is 29
LCM of denominators i.e. for 899,8125 is 7304375.
Thus, GCF of Fractions is 29/7304375.Finally, GCF of Fractions for 3973/899, 6467/8125 is 29/7304375.