GCF of 7122/47, 9909/961
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7122/47, 9909/961 i.e 3/45167 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7122/47, 9909/961.
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 7122/47,9909/961?
Given fractions are 7122/47,9909/961
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 7122/47,9909/961, numerators are 7122,9909
Denominators are 47,961
The GCF of 7122,9909 is 3 .
LCM of 47,961 is 45167.
The greatest common factor of 7122/47,9909/961 = [GCF of 7122,9909]/[LCM of 47,961]= 3/45167
Therefore, the GCF of 7122/47,9909/961 is 3/45167.
To find the highest common factor of 7122,9909, we have to find the factors of both numbers and list the highest common factor.
The factors of 7122 are 1, 2, 3, 6, 1187, 2374, 3561, 7122
The factors of 9909 are 1, 3, 9, 27, 367, 1101, 3303, 9909
The HCF of 7122,9909 is 3.
Lets's calculate GCF of 7122,9909
| 3 | 7122, 9909 |
| 2374, 3303 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7122,9909 By Matching Biggest Common Factor Method
Now, list down the factors of 7122
:1,2,3,6,1187,2374,3561,7122
Now, list down the factors of 9909
:1,3,9,27,367,1101,3303,9909
Greatest Common Factor
We found the factors 7122,9909 . The biggest common factor number is the GCF number.
So the greatest common factor 7122,9909 is 3.
Lets's calculate LCM of 47,961
Given numbers has no common factors except 1. So, there LCM is their product i.e 45167
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/45167
Therefore, the GCF of Fractions 7122/47,9909/961 is 3/45167
Least Common Multiple of 47,961 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 47,961 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,961) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(47,961) x common factors =1 x 1 = 1
LCM(47,961) = ( 47 × 961 ) / 1
LCM(47,961) = 45167 / 1
LCM(47,961) = 45167
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FAQs on GCF of Fractions of 7122/47, 9909/961
1. What is the HCF of 7122,9909?
The HCF of 7122,9909 is 3
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 7122/47, 9909/961?
Answer: GCF of Numerators as per given numbers 7122/47, 9909/961 is
GCF of Numerators i.e. for 7122,9909 is 3
LCM of denominators i.e. for 47,961 is 45167.
Thus, GCF of Fractions is 3/45167.Finally, GCF of Fractions for 7122/47, 9909/961 is 3/45167.