GCF of 801/151, 179/802
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 801/151, 179/802 i.e 1/121102 easily. The following is the detailed procedure to determine the greatest common factor of fractions 801/151, 179/802.
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 801/151,179/802?
Given fractions are 801/151,179/802
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 801/151,179/802, numerators are 801,179
Denominators are 151,802
The GCF of 801,179 is 1 .
LCM of 151,802 is 121102.
The greatest common factor of 801/151,179/802 = [GCF of 801,179]/[LCM of 151,802]= 1/121102
Therefore, the GCF of 801/151,179/802 is 1/121102.
To find the highest common factor of 801,179, we have to find the factors of both numbers and list the highest common factor.
The factors of 801 are 1, 3, 9, 89, 267, 801
The factors of 179 are 1, 179
The HCF of 801,179 is 1.
Lets's calculate GCF of 801,179
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 801,179 By Matching Biggest Common Factor Method
Now, list down the factors of 801
:1,3,9,89,267,801
Now, list down the factors of 179
:1,179
Greatest Common Factor
We found the factors 801,179 . The biggest common factor number is the GCF number.
So the greatest common factor 801,179 is 1.
Lets's calculate LCM of 151,802
Given numbers has no common factors except 1. So, there LCM is their product i.e 121102
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/121102
Therefore, the GCF of Fractions 801/151,179/802 is 1/121102
Least Common Multiple of 151,802 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 151,802 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(151,802) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(151,802) x common factors =1 x 1 = 1
LCM(151,802) = ( 151 × 802 ) / 1
LCM(151,802) = 121102 / 1
LCM(151,802) = 121102
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FAQs on GCF of Fractions of 801/151, 179/802
1. What is the HCF of 801,179?
The HCF of 801,179 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 801/151, 179/802?
Answer: GCF of Numerators as per given numbers 801/151, 179/802 is
GCF of Numerators i.e. for 801,179 is 1
LCM of denominators i.e. for 151,802 is 121102.
Thus, GCF of Fractions is 1/121102.Finally, GCF of Fractions for 801/151, 179/802 is 1/121102.