GCF of 851/326, 170/444
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 851/326, 170/444 i.e 1/72372 easily. The following is the detailed procedure to determine the greatest common factor of fractions 851/326, 170/444.
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 851/326,170/444?
Given fractions are 851/326,170/444
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 851/326,170/444, numerators are 851,170
Denominators are 326,444
The GCF of 851,170 is 1 .
LCM of 326,444 is 72372.
The greatest common factor of 851/326,170/444 = [GCF of 851,170]/[LCM of 326,444]= 1/72372
Therefore, the GCF of 851/326,170/444 is 1/72372.
To find the highest common factor of 851,170, we have to find the factors of both numbers and list the highest common factor.
The factors of 851 are 1, 23, 37, 851
The factors of 170 are 1, 2, 5, 10, 17, 34, 85, 170
The HCF of 851,170 is 1.
Lets's calculate GCF of 851,170
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 851,170 By Matching Biggest Common Factor Method
Now, list down the factors of 851
:1,23,37,851
Now, list down the factors of 170
:1,2,5,10,17,34,85,170
Greatest Common Factor
We found the factors 851,170 . The biggest common factor number is the GCF number.
So the greatest common factor 851,170 is 1.
Lets's calculate LCM of 326,444
| 2 | 326, 444 |
| 163, 222 |
∴ So the LCM of the given numbers is 2 x 163 x 222 = 72372
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/72372
Therefore, the GCF of Fractions 851/326,170/444 is 1/72372
Least Common Multiple of 326,444 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 326,444 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(326,444) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(326,444) x common factors =2 x 1 = 2
LCM(326,444) = ( 326 × 444 ) / 2
LCM(326,444) = 144744 / 2
LCM(326,444) = 72372
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FAQs on GCF of Fractions of 851/326, 170/444
1. What is the HCF of 851,170?
The HCF of 851,170 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 851/326, 170/444?
Answer: GCF of Numerators as per given numbers 851/326, 170/444 is
GCF of Numerators i.e. for 851,170 is 1
LCM of denominators i.e. for 326,444 is 72372.
Thus, GCF of Fractions is 1/72372.Finally, GCF of Fractions for 851/326, 170/444 is 1/72372.