GCF of 2104/422, 5280/202
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2104/422, 5280/202 i.e 8/42622 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2104/422, 5280/202.
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 2104/422,5280/202?
Given fractions are 2104/422,5280/202
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 2104/422,5280/202, numerators are 2104,5280
Denominators are 422,202
The GCF of 2104,5280 is 8 .
LCM of 422,202 is 42622.
The greatest common factor of 2104/422,5280/202 = [GCF of 2104,5280]/[LCM of 422,202]= 8/42622
Therefore, the GCF of 2104/422,5280/202 is 8/42622.
To find the highest common factor of 2104,5280, we have to find the factors of both numbers and list the highest common factor.
The factors of 2104 are 1, 2, 4, 8, 263, 526, 1052, 2104
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 2104,5280 is 8.
Lets's calculate GCF of 2104,5280
| 2 | 2104, 5280 |
| 2 | 1052, 2640 |
| 2 | 526, 1320 |
| 263, 660 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 2104,5280 By Matching Biggest Common Factor Method
Now, list down the factors of 2104
:1,2,4,8,263,526,1052,2104
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 2104,5280 . The biggest common factor number is the GCF number.
So the greatest common factor 2104,5280 is 8.
Lets's calculate LCM of 422,202
| 2 | 422, 202 |
| 211, 101 |
∴ So the LCM of the given numbers is 2 x 211 x 101 = 42622
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/42622
Therefore, the GCF of Fractions 2104/422,5280/202 is 8/42622
Least Common Multiple of 422,202 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 422,202 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(422,202) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(422,202) x common factors =2 x 1 = 2
LCM(422,202) = ( 422 × 202 ) / 2
LCM(422,202) = 85244 / 2
LCM(422,202) = 42622
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FAQs on GCF of Fractions of 2104/422, 5280/202
1. What is the HCF of 2104,5280?
The HCF of 2104,5280 is 8
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 2104/422, 5280/202?
Answer: GCF of Numerators as per given numbers 2104/422, 5280/202 is
GCF of Numerators i.e. for 2104,5280 is 8
LCM of denominators i.e. for 422,202 is 42622.
Thus, GCF of Fractions is 8/42622.Finally, GCF of Fractions for 2104/422, 5280/202 is 8/42622.