GCF of 4128/216, 7068/3104
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4128/216, 7068/3104 i.e 12/83808 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4128/216, 7068/3104.
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 4128/216,7068/3104?
Given fractions are 4128/216,7068/3104
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 4128/216,7068/3104, numerators are 4128,7068
Denominators are 216,3104
The GCF of 4128,7068 is 12 .
LCM of 216,3104 is 83808.
The greatest common factor of 4128/216,7068/3104 = [GCF of 4128,7068]/[LCM of 216,3104]= 12/83808
Therefore, the GCF of 4128/216,7068/3104 is 12/83808.
To find the highest common factor of 4128,7068, we have to find the factors of both numbers and list the highest common factor.
The factors of 4128 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 43, 48, 86, 96, 129, 172, 258, 344, 516, 688, 1032, 1376, 2064, 4128
The factors of 7068 are 1, 2, 3, 4, 6, 12, 19, 31, 38, 57, 62, 76, 93, 114, 124, 186, 228, 372, 589, 1178, 1767, 2356, 3534, 7068
The HCF of 4128,7068 is 12.
Lets's calculate GCF of 4128,7068
| 2 | 4128, 7068 |
| 2 | 2064, 3534 |
| 3 | 1032, 1767 |
| 344, 589 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 4128,7068 By Matching Biggest Common Factor Method
Now, list down the factors of 4128
:1,2,3,4,6,8,12,16,24,32,43,48,86,96,129,172,258,344,516,688,1032,1376,2064,4128
Now, list down the factors of 7068
:1,2,3,4,6,12,19,31,38,57,62,76,93,114,124,186,228,372,589,1178,1767,2356,3534,7068
Greatest Common Factor
We found the factors 4128,7068 . The biggest common factor number is the GCF number.
So the greatest common factor 4128,7068 is 12.
Lets's calculate LCM of 216,3104
| 2 | 216, 3104 |
| 2 | 108, 1552 |
| 2 | 54, 776 |
| 27, 388 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 27 x 388 = 83808
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/83808
Therefore, the GCF of Fractions 4128/216,7068/3104 is 12/83808
Least Common Multiple of 216,3104 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 216,3104 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(216,3104) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(216,3104) x common factors =8 x 1 = 8
LCM(216,3104) = ( 216 × 3104 ) / 8
LCM(216,3104) = 670464 / 8
LCM(216,3104) = 83808
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FAQs on GCF of Fractions of 4128/216, 7068/3104
1. What is the HCF of 4128,7068?
The HCF of 4128,7068 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 4128/216, 7068/3104?
Answer: GCF of Numerators as per given numbers 4128/216, 7068/3104 is
GCF of Numerators i.e. for 4128,7068 is 12
LCM of denominators i.e. for 216,3104 is 83808.
Thus, GCF of Fractions is 12/83808.Finally, GCF of Fractions for 4128/216, 7068/3104 is 12/83808.