GCF of 179/90, 688/999
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 179/90, 688/999 i.e 1/9990 easily. The following is the detailed procedure to determine the greatest common factor of fractions 179/90, 688/999.
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 179/90,688/999?
Given fractions are 179/90,688/999
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 179/90,688/999, numerators are 179,688
Denominators are 90,999
The GCF of 179,688 is 1 .
LCM of 90,999 is 9990.
The greatest common factor of 179/90,688/999 = [GCF of 179,688]/[LCM of 90,999]= 1/9990
Therefore, the GCF of 179/90,688/999 is 1/9990.
To find the highest common factor of 179,688, we have to find the factors of both numbers and list the highest common factor.
The factors of 179 are 1, 179
The factors of 688 are 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
The HCF of 179,688 is 1.
Lets's calculate GCF of 179,688
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 179,688 By Matching Biggest Common Factor Method
Now, list down the factors of 179
:1,179
Now, list down the factors of 688
:1,2,4,8,16,43,86,172,344,688
Greatest Common Factor
We found the factors 179,688 . The biggest common factor number is the GCF number.
So the greatest common factor 179,688 is 1.
Lets's calculate LCM of 90,999
| 3 | 90, 999 |
| 3 | 30, 333 |
| 10, 111 |
∴ So the LCM of the given numbers is 3 x 3 x 10 x 111 = 9990
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9990
Therefore, the GCF of Fractions 179/90,688/999 is 1/9990
Least Common Multiple of 90,999 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 90,999 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(90,999) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(90,999) x common factors =9 x 1 = 9
LCM(90,999) = ( 90 × 999 ) / 9
LCM(90,999) = 89910 / 9
LCM(90,999) = 9990
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FAQs on GCF of Fractions of 179/90, 688/999
1. What is the HCF of 179,688?
The HCF of 179,688 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 179/90, 688/999?
Answer: GCF of Numerators as per given numbers 179/90, 688/999 is
GCF of Numerators i.e. for 179,688 is 1
LCM of denominators i.e. for 90,999 is 9990.
Thus, GCF of Fractions is 1/9990.Finally, GCF of Fractions for 179/90, 688/999 is 1/9990.