GCF of 7484/119, 9914/863
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7484/119, 9914/863 i.e 2/102697 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7484/119, 9914/863.
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 7484/119,9914/863?
Given fractions are 7484/119,9914/863
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 7484/119,9914/863, numerators are 7484,9914
Denominators are 119,863
The GCF of 7484,9914 is 2 .
LCM of 119,863 is 102697.
The greatest common factor of 7484/119,9914/863 = [GCF of 7484,9914]/[LCM of 119,863]= 2/102697
Therefore, the GCF of 7484/119,9914/863 is 2/102697.
To find the highest common factor of 7484,9914, we have to find the factors of both numbers and list the highest common factor.
The factors of 7484 are 1, 2, 4, 1871, 3742, 7484
The factors of 9914 are 1, 2, 4957, 9914
The HCF of 7484,9914 is 2.
Lets's calculate GCF of 7484,9914
| 2 | 7484, 9914 |
| 3742, 4957 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7484,9914 By Matching Biggest Common Factor Method
Now, list down the factors of 7484
:1,2,4,1871,3742,7484
Now, list down the factors of 9914
:1,2,4957,9914
Greatest Common Factor
We found the factors 7484,9914 . The biggest common factor number is the GCF number.
So the greatest common factor 7484,9914 is 2.
Lets's calculate LCM of 119,863
Given numbers has no common factors except 1. So, there LCM is their product i.e 102697
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/102697
Therefore, the GCF of Fractions 7484/119,9914/863 is 2/102697
Least Common Multiple of 119,863 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 119,863 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(119,863) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(119,863) x common factors =1 x 1 = 1
LCM(119,863) = ( 119 × 863 ) / 1
LCM(119,863) = 102697 / 1
LCM(119,863) = 102697
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FAQs on GCF of Fractions of 7484/119, 9914/863
1. What is the HCF of 7484,9914?
The HCF of 7484,9914 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 7484/119, 9914/863?
Answer: GCF of Numerators as per given numbers 7484/119, 9914/863 is
GCF of Numerators i.e. for 7484,9914 is 2
LCM of denominators i.e. for 119,863 is 102697.
Thus, GCF of Fractions is 2/102697.Finally, GCF of Fractions for 7484/119, 9914/863 is 2/102697.