GCF of 9122/969, 6919/2615
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9122/969, 6919/2615 i.e 1/2533935 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9122/969, 6919/2615.
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 9122/969,6919/2615?
Given fractions are 9122/969,6919/2615
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 9122/969,6919/2615, numerators are 9122,6919
Denominators are 969,2615
The GCF of 9122,6919 is 1 .
LCM of 969,2615 is 2533935.
The greatest common factor of 9122/969,6919/2615 = [GCF of 9122,6919]/[LCM of 969,2615]= 1/2533935
Therefore, the GCF of 9122/969,6919/2615 is 1/2533935.
To find the highest common factor of 9122,6919, we have to find the factors of both numbers and list the highest common factor.
The factors of 9122 are 1, 2, 4561, 9122
The factors of 6919 are 1, 11, 17, 37, 187, 407, 629, 6919
The HCF of 9122,6919 is 1.
Lets's calculate GCF of 9122,6919
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9122,6919 By Matching Biggest Common Factor Method
Now, list down the factors of 9122
:1,2,4561,9122
Now, list down the factors of 6919
:1,11,17,37,187,407,629,6919
Greatest Common Factor
We found the factors 9122,6919 . The biggest common factor number is the GCF number.
So the greatest common factor 9122,6919 is 1.
Lets's calculate LCM of 969,2615
Given numbers has no common factors except 1. So, there LCM is their product i.e 2533935
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2533935
Therefore, the GCF of Fractions 9122/969,6919/2615 is 1/2533935
Least Common Multiple of 969,2615 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 969,2615 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(969,2615) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(969,2615) x common factors =1 x 1 = 1
LCM(969,2615) = ( 969 × 2615 ) / 1
LCM(969,2615) = 2533935 / 1
LCM(969,2615) = 2533935
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FAQs on GCF of Fractions of 9122/969, 6919/2615
1. What is the HCF of 9122,6919?
The HCF of 9122,6919 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 9122/969, 6919/2615?
Answer: GCF of Numerators as per given numbers 9122/969, 6919/2615 is
GCF of Numerators i.e. for 9122,6919 is 1
LCM of denominators i.e. for 969,2615 is 2533935.
Thus, GCF of Fractions is 1/2533935.Finally, GCF of Fractions for 9122/969, 6919/2615 is 1/2533935.