GCF of 9955/546, 6415/457
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9955/546, 6415/457 i.e 5/249522 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9955/546, 6415/457.
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 9955/546,6415/457?
Given fractions are 9955/546,6415/457
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 9955/546,6415/457, numerators are 9955,6415
Denominators are 546,457
The GCF of 9955,6415 is 5 .
LCM of 546,457 is 249522.
The greatest common factor of 9955/546,6415/457 = [GCF of 9955,6415]/[LCM of 546,457]= 5/249522
Therefore, the GCF of 9955/546,6415/457 is 5/249522.
To find the highest common factor of 9955,6415, we have to find the factors of both numbers and list the highest common factor.
The factors of 9955 are 1, 5, 11, 55, 181, 905, 1991, 9955
The factors of 6415 are 1, 5, 1283, 6415
The HCF of 9955,6415 is 5.
Lets's calculate GCF of 9955,6415
| 5 | 9955, 6415 |
| 1991, 1283 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 9955,6415 By Matching Biggest Common Factor Method
Now, list down the factors of 9955
:1,5,11,55,181,905,1991,9955
Now, list down the factors of 6415
:1,5,1283,6415
Greatest Common Factor
We found the factors 9955,6415 . The biggest common factor number is the GCF number.
So the greatest common factor 9955,6415 is 5.
Lets's calculate LCM of 546,457
Given numbers has no common factors except 1. So, there LCM is their product i.e 249522
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/249522
Therefore, the GCF of Fractions 9955/546,6415/457 is 5/249522
Least Common Multiple of 546,457 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 546,457 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(546,457) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(546,457) x common factors =1 x 1 = 1
LCM(546,457) = ( 546 × 457 ) / 1
LCM(546,457) = 249522 / 1
LCM(546,457) = 249522
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FAQs on GCF of Fractions of 9955/546, 6415/457
1. What is the HCF of 9955,6415?
The HCF of 9955,6415 is 5
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 9955/546, 6415/457?
Answer: GCF of Numerators as per given numbers 9955/546, 6415/457 is
GCF of Numerators i.e. for 9955,6415 is 5
LCM of denominators i.e. for 546,457 is 249522.
Thus, GCF of Fractions is 5/249522.Finally, GCF of Fractions for 9955/546, 6415/457 is 5/249522.