GCF of 216/360, 348/377
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 216/360, 348/377 i.e 12/135720 easily. The following is the detailed procedure to determine the greatest common factor of fractions 216/360, 348/377.
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 216/360,348/377?
Given fractions are 216/360,348/377
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 216/360,348/377, numerators are 216,348
Denominators are 360,377
The GCF of 216,348 is 12 .
LCM of 360,377 is 135720.
The greatest common factor of 216/360,348/377 = [GCF of 216,348]/[LCM of 360,377]= 12/135720
Therefore, the GCF of 216/360,348/377 is 12/135720.
To find the highest common factor of 216,348, we have to find the factors of both numbers and list the highest common factor.
The factors of 216 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
The factors of 348 are 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
The HCF of 216,348 is 12.
Lets's calculate GCF of 216,348
| 2 | 216, 348 |
| 2 | 108, 174 |
| 3 | 54, 87 |
| 18, 29 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 216,348 By Matching Biggest Common Factor Method
Now, list down the factors of 216
:1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216
Now, list down the factors of 348
:1,2,3,4,6,12,29,58,87,116,174,348
Greatest Common Factor
We found the factors 216,348 . The biggest common factor number is the GCF number.
So the greatest common factor 216,348 is 12.
Lets's calculate LCM of 360,377
Given numbers has no common factors except 1. So, there LCM is their product i.e 135720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/135720
Therefore, the GCF of Fractions 216/360,348/377 is 12/135720
Least Common Multiple of 360,377 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 360,377 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(360,377) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(360,377) x common factors =1 x 1 = 1
LCM(360,377) = ( 360 × 377 ) / 1
LCM(360,377) = 135720 / 1
LCM(360,377) = 135720
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FAQs on GCF of Fractions of 216/360, 348/377
1. What is the HCF of 216,348?
The HCF of 216,348 is 12
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 216/360, 348/377?
Answer: GCF of Numerators as per given numbers 216/360, 348/377 is
GCF of Numerators i.e. for 216,348 is 12
LCM of denominators i.e. for 360,377 is 135720.
Thus, GCF of Fractions is 12/135720.Finally, GCF of Fractions for 216/360, 348/377 is 12/135720.