GCF of 3056/652, 7224/8142
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3056/652, 7224/8142 i.e 8/2654292 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3056/652, 7224/8142.
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 3056/652,7224/8142?
Given fractions are 3056/652,7224/8142
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 3056/652,7224/8142, numerators are 3056,7224
Denominators are 652,8142
The GCF of 3056,7224 is 8 .
LCM of 652,8142 is 2654292.
The greatest common factor of 3056/652,7224/8142 = [GCF of 3056,7224]/[LCM of 652,8142]= 8/2654292
Therefore, the GCF of 3056/652,7224/8142 is 8/2654292.
To find the highest common factor of 3056,7224, we have to find the factors of both numbers and list the highest common factor.
The factors of 3056 are 1, 2, 4, 8, 16, 191, 382, 764, 1528, 3056
The factors of 7224 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 43, 56, 84, 86, 129, 168, 172, 258, 301, 344, 516, 602, 903, 1032, 1204, 1806, 2408, 3612, 7224
The HCF of 3056,7224 is 8.
Lets's calculate GCF of 3056,7224
| 2 | 3056, 7224 |
| 2 | 1528, 3612 |
| 2 | 764, 1806 |
| 382, 903 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 3056,7224 By Matching Biggest Common Factor Method
Now, list down the factors of 3056
:1,2,4,8,16,191,382,764,1528,3056
Now, list down the factors of 7224
:1,2,3,4,6,7,8,12,14,21,24,28,42,43,56,84,86,129,168,172,258,301,344,516,602,903,1032,1204,1806,2408,3612,7224
Greatest Common Factor
We found the factors 3056,7224 . The biggest common factor number is the GCF number.
So the greatest common factor 3056,7224 is 8.
Lets's calculate LCM of 652,8142
| 2 | 652, 8142 |
| 326, 4071 |
∴ So the LCM of the given numbers is 2 x 326 x 4071 = 2654292
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/2654292
Therefore, the GCF of Fractions 3056/652,7224/8142 is 8/2654292
Least Common Multiple of 652,8142 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 652,8142 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(652,8142) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(652,8142) x common factors =2 x 1 = 2
LCM(652,8142) = ( 652 × 8142 ) / 2
LCM(652,8142) = 5308584 / 2
LCM(652,8142) = 2654292
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FAQs on GCF of Fractions of 3056/652, 7224/8142
1. What is the HCF of 3056,7224?
The HCF of 3056,7224 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 3056/652, 7224/8142?
Answer: GCF of Numerators as per given numbers 3056/652, 7224/8142 is
GCF of Numerators i.e. for 3056,7224 is 8
LCM of denominators i.e. for 652,8142 is 2654292.
Thus, GCF of Fractions is 8/2654292.Finally, GCF of Fractions for 3056/652, 7224/8142 is 8/2654292.