GCF of 7056/360, 4228/5450
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7056/360, 4228/5450 i.e 28/196200 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7056/360, 4228/5450.
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 7056/360,4228/5450?
Given fractions are 7056/360,4228/5450
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 7056/360,4228/5450, numerators are 7056,4228
Denominators are 360,5450
The GCF of 7056,4228 is 28 .
LCM of 360,5450 is 196200.
The greatest common factor of 7056/360,4228/5450 = [GCF of 7056,4228]/[LCM of 360,5450]= 28/196200
Therefore, the GCF of 7056/360,4228/5450 is 28/196200.
To find the highest common factor of 7056,4228, we have to find the factors of both numbers and list the highest common factor.
The factors of 7056 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 36, 42, 48, 49, 56, 63, 72, 84, 98, 112, 126, 144, 147, 168, 196, 252, 294, 336, 392, 441, 504, 588, 784, 882, 1008, 1176, 1764, 2352, 3528, 7056
The factors of 4228 are 1, 2, 4, 7, 14, 28, 151, 302, 604, 1057, 2114, 4228
The HCF of 7056,4228 is 28.
Lets's calculate GCF of 7056,4228
| 2 | 7056, 4228 |
| 2 | 3528, 2114 |
| 7 | 1764, 1057 |
| 252, 151 |
∴ So the GCF of the given numbers is 2 x 2 x 7 = 28
Greatest Common Factor of 7056,4228 By Matching Biggest Common Factor Method
Now, list down the factors of 7056
:1,2,3,4,6,7,8,9,12,14,16,18,21,24,28,36,42,48,49,56,63,72,84,98,112,126,144,147,168,196,252,294,336,392,441,504,588,784,882,1008,1176,1764,2352,3528,7056
Now, list down the factors of 4228
:1,2,4,7,14,28,151,302,604,1057,2114,4228
Greatest Common Factor
We found the factors 7056,4228 . The biggest common factor number is the GCF number.
So the greatest common factor 7056,4228 is 28.
Lets's calculate LCM of 360,5450
| 2 | 360, 5450 |
| 5 | 180, 2725 |
| 36, 545 |
∴ So the LCM of the given numbers is 2 x 5 x 36 x 545 = 196200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 28/196200
Therefore, the GCF of Fractions 7056/360,4228/5450 is 28/196200
Least Common Multiple of 360,5450 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 360,5450 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(360,5450) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(360,5450) x common factors =10 x 1 = 10
LCM(360,5450) = ( 360 × 5450 ) / 10
LCM(360,5450) = 1962000 / 10
LCM(360,5450) = 196200
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 7056/360, 4228/5450
1. What is the HCF of 7056,4228?
The HCF of 7056,4228 is 28
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 7056/360, 4228/5450?
Answer: GCF of Numerators as per given numbers 7056/360, 4228/5450 is
GCF of Numerators i.e. for 7056,4228 is 28
LCM of denominators i.e. for 360,5450 is 196200.
Thus, GCF of Fractions is 28/196200.Finally, GCF of Fractions for 7056/360, 4228/5450 is 28/196200.