GCF of 8360/212, 5280/6751
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8360/212, 5280/6751 i.e 440/1431212 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8360/212, 5280/6751.
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 8360/212,5280/6751?
Given fractions are 8360/212,5280/6751
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 8360/212,5280/6751, numerators are 8360,5280
Denominators are 212,6751
The GCF of 8360,5280 is 440 .
LCM of 212,6751 is 1431212.
The greatest common factor of 8360/212,5280/6751 = [GCF of 8360,5280]/[LCM of 212,6751]= 440/1431212
Therefore, the GCF of 8360/212,5280/6751 is 440/1431212.
To find the highest common factor of 8360,5280, we have to find the factors of both numbers and list the highest common factor.
The factors of 8360 are 1, 2, 4, 5, 8, 10, 11, 19, 20, 22, 38, 40, 44, 55, 76, 88, 95, 110, 152, 190, 209, 220, 380, 418, 440, 760, 836, 1045, 1672, 2090, 4180, 8360
The factors of 5280 are 1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 16, 20, 22, 24, 30, 32, 33, 40, 44, 48, 55, 60, 66, 80, 88, 96, 110, 120, 132, 160, 165, 176, 220, 240, 264, 330, 352, 440, 480, 528, 660, 880, 1056, 1320, 1760, 2640, 5280
The HCF of 8360,5280 is 440.
Lets's calculate GCF of 8360,5280
| 2 | 8360, 5280 |
| 2 | 4180, 2640 |
| 2 | 2090, 1320 |
| 5 | 1045, 660 |
| 11 | 209, 132 |
| 19, 12 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 5 x 11 = 440
Greatest Common Factor of 8360,5280 By Matching Biggest Common Factor Method
Now, list down the factors of 8360
:1,2,4,5,8,10,11,19,20,22,38,40,44,55,76,88,95,110,152,190,209,220,380,418,440,760,836,1045,1672,2090,4180,8360
Now, list down the factors of 5280
:1,2,3,4,5,6,8,10,11,12,15,16,20,22,24,30,32,33,40,44,48,55,60,66,80,88,96,110,120,132,160,165,176,220,240,264,330,352,440,480,528,660,880,1056,1320,1760,2640,5280
Greatest Common Factor
We found the factors 8360,5280 . The biggest common factor number is the GCF number.
So the greatest common factor 8360,5280 is 440.
Lets's calculate LCM of 212,6751
Given numbers has no common factors except 1. So, there LCM is their product i.e 1431212
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 440/1431212
Therefore, the GCF of Fractions 8360/212,5280/6751 is 440/1431212
Least Common Multiple of 212,6751 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 212,6751 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(212,6751) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(212,6751) x common factors =1 x 1 = 1
LCM(212,6751) = ( 212 × 6751 ) / 1
LCM(212,6751) = 1431212 / 1
LCM(212,6751) = 1431212
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FAQs on GCF of Fractions of 8360/212, 5280/6751
1. What is the HCF of 8360,5280?
The HCF of 8360,5280 is 440
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 8360/212, 5280/6751?
Answer: GCF of Numerators as per given numbers 8360/212, 5280/6751 is
GCF of Numerators i.e. for 8360,5280 is 440
LCM of denominators i.e. for 212,6751 is 1431212.
Thus, GCF of Fractions is 440/1431212.Finally, GCF of Fractions for 8360/212, 5280/6751 is 440/1431212.