GCF of 358/87, 360/309
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 358/87, 360/309 i.e 2/8961 easily. The following is the detailed procedure to determine the greatest common factor of fractions 358/87, 360/309.
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 358/87,360/309?
Given fractions are 358/87,360/309
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 358/87,360/309, numerators are 358,360
Denominators are 87,309
The GCF of 358,360 is 2 .
LCM of 87,309 is 8961.
The greatest common factor of 358/87,360/309 = [GCF of 358,360]/[LCM of 87,309]= 2/8961
Therefore, the GCF of 358/87,360/309 is 2/8961.
To find the highest common factor of 358,360, we have to find the factors of both numbers and list the highest common factor.
The factors of 358 are 1, 2, 179, 358
The factors of 360 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
The HCF of 358,360 is 2.
Lets's calculate GCF of 358,360
| 2 | 358, 360 |
| 179, 180 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 358,360 By Matching Biggest Common Factor Method
Now, list down the factors of 358
:1,2,179,358
Now, list down the factors of 360
:1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360
Greatest Common Factor
We found the factors 358,360 . The biggest common factor number is the GCF number.
So the greatest common factor 358,360 is 2.
Lets's calculate LCM of 87,309
| 3 | 87, 309 |
| 29, 103 |
∴ So the LCM of the given numbers is 3 x 29 x 103 = 8961
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/8961
Therefore, the GCF of Fractions 358/87,360/309 is 2/8961
Least Common Multiple of 87,309 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 87,309 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,309) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(87,309) x common factors =3 x 1 = 3
LCM(87,309) = ( 87 × 309 ) / 3
LCM(87,309) = 26883 / 3
LCM(87,309) = 8961
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FAQs on GCF of Fractions of 358/87, 360/309
1. What is the HCF of 358,360?
The HCF of 358,360 is 2
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 358/87, 360/309?
Answer: GCF of Numerators as per given numbers 358/87, 360/309 is
GCF of Numerators i.e. for 358,360 is 2
LCM of denominators i.e. for 87,309 is 8961.
Thus, GCF of Fractions is 2/8961.Finally, GCF of Fractions for 358/87, 360/309 is 2/8961.