GCF of 7094/549, 9224/317
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7094/549, 9224/317 i.e 2/174033 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7094/549, 9224/317.
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 7094/549,9224/317?
Given fractions are 7094/549,9224/317
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 7094/549,9224/317, numerators are 7094,9224
Denominators are 549,317
The GCF of 7094,9224 is 2 .
LCM of 549,317 is 174033.
The greatest common factor of 7094/549,9224/317 = [GCF of 7094,9224]/[LCM of 549,317]= 2/174033
Therefore, the GCF of 7094/549,9224/317 is 2/174033.
To find the highest common factor of 7094,9224, we have to find the factors of both numbers and list the highest common factor.
The factors of 7094 are 1, 2, 3547, 7094
The factors of 9224 are 1, 2, 4, 8, 1153, 2306, 4612, 9224
The HCF of 7094,9224 is 2.
Lets's calculate GCF of 7094,9224
| 2 | 7094, 9224 |
| 3547, 4612 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7094,9224 By Matching Biggest Common Factor Method
Now, list down the factors of 7094
:1,2,3547,7094
Now, list down the factors of 9224
:1,2,4,8,1153,2306,4612,9224
Greatest Common Factor
We found the factors 7094,9224 . The biggest common factor number is the GCF number.
So the greatest common factor 7094,9224 is 2.
Lets's calculate LCM of 549,317
Given numbers has no common factors except 1. So, there LCM is their product i.e 174033
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/174033
Therefore, the GCF of Fractions 7094/549,9224/317 is 2/174033
Least Common Multiple of 549,317 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 549,317 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(549,317) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(549,317) x common factors =1 x 1 = 1
LCM(549,317) = ( 549 × 317 ) / 1
LCM(549,317) = 174033 / 1
LCM(549,317) = 174033
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FAQs on GCF of Fractions of 7094/549, 9224/317
1. What is the HCF of 7094,9224?
The HCF of 7094,9224 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 7094/549, 9224/317?
Answer: GCF of Numerators as per given numbers 7094/549, 9224/317 is
GCF of Numerators i.e. for 7094,9224 is 2
LCM of denominators i.e. for 549,317 is 174033.
Thus, GCF of Fractions is 2/174033.Finally, GCF of Fractions for 7094/549, 9224/317 is 2/174033.