GCF of 9550/906, 7669/9271
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9550/906, 7669/9271 i.e 1/8399526 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9550/906, 7669/9271.
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 9550/906,7669/9271?
Given fractions are 9550/906,7669/9271
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 9550/906,7669/9271, numerators are 9550,7669
Denominators are 906,9271
The GCF of 9550,7669 is 1 .
LCM of 906,9271 is 8399526.
The greatest common factor of 9550/906,7669/9271 = [GCF of 9550,7669]/[LCM of 906,9271]= 1/8399526
Therefore, the GCF of 9550/906,7669/9271 is 1/8399526.
To find the highest common factor of 9550,7669, we have to find the factors of both numbers and list the highest common factor.
The factors of 9550 are 1, 2, 5, 10, 25, 50, 191, 382, 955, 1910, 4775, 9550
The factors of 7669 are 1, 7669
The HCF of 9550,7669 is 1.
Lets's calculate GCF of 9550,7669
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9550,7669 By Matching Biggest Common Factor Method
Now, list down the factors of 9550
:1,2,5,10,25,50,191,382,955,1910,4775,9550
Now, list down the factors of 7669
:1,7669
Greatest Common Factor
We found the factors 9550,7669 . The biggest common factor number is the GCF number.
So the greatest common factor 9550,7669 is 1.
Lets's calculate LCM of 906,9271
Given numbers has no common factors except 1. So, there LCM is their product i.e 8399526
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8399526
Therefore, the GCF of Fractions 9550/906,7669/9271 is 1/8399526
Least Common Multiple of 906,9271 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 906,9271 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(906,9271) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(906,9271) x common factors =1 x 1 = 1
LCM(906,9271) = ( 906 × 9271 ) / 1
LCM(906,9271) = 8399526 / 1
LCM(906,9271) = 8399526
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9550/906, 7669/9271
1. What is the HCF of 9550,7669?
The HCF of 9550,7669 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 9550/906, 7669/9271?
Answer: GCF of Numerators as per given numbers 9550/906, 7669/9271 is
GCF of Numerators i.e. for 9550,7669 is 1
LCM of denominators i.e. for 906,9271 is 8399526.
Thus, GCF of Fractions is 1/8399526.Finally, GCF of Fractions for 9550/906, 7669/9271 is 1/8399526.