GCF of 856/609, 7352/161
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 856/609, 7352/161 i.e 8/14007 easily. The following is the detailed procedure to determine the greatest common factor of fractions 856/609, 7352/161.
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 856/609,7352/161?
Given fractions are 856/609,7352/161
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 856/609,7352/161, numerators are 856,7352
Denominators are 609,161
The GCF of 856,7352 is 8 .
LCM of 609,161 is 14007.
The greatest common factor of 856/609,7352/161 = [GCF of 856,7352]/[LCM of 609,161]= 8/14007
Therefore, the GCF of 856/609,7352/161 is 8/14007.
To find the highest common factor of 856,7352, we have to find the factors of both numbers and list the highest common factor.
The factors of 856 are 1, 2, 4, 8, 107, 214, 428, 856
The factors of 7352 are 1, 2, 4, 8, 919, 1838, 3676, 7352
The HCF of 856,7352 is 8.
Lets's calculate GCF of 856,7352
| 2 | 856, 7352 |
| 2 | 428, 3676 |
| 2 | 214, 1838 |
| 107, 919 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 856,7352 By Matching Biggest Common Factor Method
Now, list down the factors of 856
:1,2,4,8,107,214,428,856
Now, list down the factors of 7352
:1,2,4,8,919,1838,3676,7352
Greatest Common Factor
We found the factors 856,7352 . The biggest common factor number is the GCF number.
So the greatest common factor 856,7352 is 8.
Lets's calculate LCM of 609,161
| 7 | 609, 161 |
| 87, 23 |
∴ So the LCM of the given numbers is 7 x 87 x 23 = 14007
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/14007
Therefore, the GCF of Fractions 856/609,7352/161 is 8/14007
Least Common Multiple of 609,161 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 609,161 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(609,161) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(609,161) x common factors =7 x 1 = 7
LCM(609,161) = ( 609 × 161 ) / 7
LCM(609,161) = 98049 / 7
LCM(609,161) = 14007
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 856/609, 7352/161
1. What is the HCF of 856,7352?
The HCF of 856,7352 is 8
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 856/609, 7352/161?
Answer: GCF of Numerators as per given numbers 856/609, 7352/161 is
GCF of Numerators i.e. for 856,7352 is 8
LCM of denominators i.e. for 609,161 is 14007.
Thus, GCF of Fractions is 8/14007.Finally, GCF of Fractions for 856/609, 7352/161 is 8/14007.