GCF of 9178/170, 5211/444
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9178/170, 5211/444 i.e 1/37740 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9178/170, 5211/444.
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 9178/170,5211/444?
Given fractions are 9178/170,5211/444
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 9178/170,5211/444, numerators are 9178,5211
Denominators are 170,444
The GCF of 9178,5211 is 1 .
LCM of 170,444 is 37740.
The greatest common factor of 9178/170,5211/444 = [GCF of 9178,5211]/[LCM of 170,444]= 1/37740
Therefore, the GCF of 9178/170,5211/444 is 1/37740.
To find the highest common factor of 9178,5211, we have to find the factors of both numbers and list the highest common factor.
The factors of 9178 are 1, 2, 13, 26, 353, 706, 4589, 9178
The factors of 5211 are 1, 3, 9, 27, 193, 579, 1737, 5211
The HCF of 9178,5211 is 1.
Lets's calculate GCF of 9178,5211
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9178,5211 By Matching Biggest Common Factor Method
Now, list down the factors of 9178
:1,2,13,26,353,706,4589,9178
Now, list down the factors of 5211
:1,3,9,27,193,579,1737,5211
Greatest Common Factor
We found the factors 9178,5211 . The biggest common factor number is the GCF number.
So the greatest common factor 9178,5211 is 1.
Lets's calculate LCM of 170,444
| 2 | 170, 444 |
| 85, 222 |
∴ So the LCM of the given numbers is 2 x 85 x 222 = 37740
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/37740
Therefore, the GCF of Fractions 9178/170,5211/444 is 1/37740
Least Common Multiple of 170,444 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 170,444 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(170,444) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(170,444) x common factors =2 x 1 = 2
LCM(170,444) = ( 170 × 444 ) / 2
LCM(170,444) = 75480 / 2
LCM(170,444) = 37740
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FAQs on GCF of Fractions of 9178/170, 5211/444
1. What is the HCF of 9178,5211?
The HCF of 9178,5211 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 9178/170, 5211/444?
Answer: GCF of Numerators as per given numbers 9178/170, 5211/444 is
GCF of Numerators i.e. for 9178,5211 is 1
LCM of denominators i.e. for 170,444 is 37740.
Thus, GCF of Fractions is 1/37740.Finally, GCF of Fractions for 9178/170, 5211/444 is 1/37740.