GCF of 9414/869, 9122/103
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9414/869, 9122/103 i.e 2/89507 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9414/869, 9122/103.
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 9414/869,9122/103?
Given fractions are 9414/869,9122/103
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 9414/869,9122/103, numerators are 9414,9122
Denominators are 869,103
The GCF of 9414,9122 is 2 .
LCM of 869,103 is 89507.
The greatest common factor of 9414/869,9122/103 = [GCF of 9414,9122]/[LCM of 869,103]= 2/89507
Therefore, the GCF of 9414/869,9122/103 is 2/89507.
To find the highest common factor of 9414,9122, we have to find the factors of both numbers and list the highest common factor.
The factors of 9414 are 1, 2, 3, 6, 9, 18, 523, 1046, 1569, 3138, 4707, 9414
The factors of 9122 are 1, 2, 4561, 9122
The HCF of 9414,9122 is 2.
Lets's calculate GCF of 9414,9122
| 2 | 9414, 9122 |
| 4707, 4561 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9414,9122 By Matching Biggest Common Factor Method
Now, list down the factors of 9414
:1,2,3,6,9,18,523,1046,1569,3138,4707,9414
Now, list down the factors of 9122
:1,2,4561,9122
Greatest Common Factor
We found the factors 9414,9122 . The biggest common factor number is the GCF number.
So the greatest common factor 9414,9122 is 2.
Lets's calculate LCM of 869,103
Given numbers has no common factors except 1. So, there LCM is their product i.e 89507
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/89507
Therefore, the GCF of Fractions 9414/869,9122/103 is 2/89507
Least Common Multiple of 869,103 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 869,103 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(869,103) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(869,103) x common factors =1 x 1 = 1
LCM(869,103) = ( 869 × 103 ) / 1
LCM(869,103) = 89507 / 1
LCM(869,103) = 89507
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FAQs on GCF of Fractions of 9414/869, 9122/103
1. What is the HCF of 9414,9122?
The HCF of 9414,9122 is 2
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 9414/869, 9122/103?
Answer: GCF of Numerators as per given numbers 9414/869, 9122/103 is
GCF of Numerators i.e. for 9414,9122 is 2
LCM of denominators i.e. for 869,103 is 89507.
Thus, GCF of Fractions is 2/89507.Finally, GCF of Fractions for 9414/869, 9122/103 is 2/89507.