GCF of 8784/216, 8172/3487
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8784/216, 8172/3487 i.e 36/753192 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8784/216, 8172/3487.
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 8784/216,8172/3487?
Given fractions are 8784/216,8172/3487
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 8784/216,8172/3487, numerators are 8784,8172
Denominators are 216,3487
The GCF of 8784,8172 is 36 .
LCM of 216,3487 is 753192.
The greatest common factor of 8784/216,8172/3487 = [GCF of 8784,8172]/[LCM of 216,3487]= 36/753192
Therefore, the GCF of 8784/216,8172/3487 is 36/753192.
To find the highest common factor of 8784,8172, we have to find the factors of both numbers and list the highest common factor.
The factors of 8784 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 61, 72, 122, 144, 183, 244, 366, 488, 549, 732, 976, 1098, 1464, 2196, 2928, 4392, 8784
The factors of 8172 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 227, 454, 681, 908, 1362, 2043, 2724, 4086, 8172
The HCF of 8784,8172 is 36.
Lets's calculate GCF of 8784,8172
| 2 | 8784, 8172 |
| 2 | 4392, 4086 |
| 3 | 2196, 2043 |
| 3 | 732, 681 |
| 244, 227 |
∴ So the GCF of the given numbers is 2 x 2 x 3 x 3 = 36
Greatest Common Factor of 8784,8172 By Matching Biggest Common Factor Method
Now, list down the factors of 8784
:1,2,3,4,6,8,9,12,16,18,24,36,48,61,72,122,144,183,244,366,488,549,732,976,1098,1464,2196,2928,4392,8784
Now, list down the factors of 8172
:1,2,3,4,6,9,12,18,36,227,454,681,908,1362,2043,2724,4086,8172
Greatest Common Factor
We found the factors 8784,8172 . The biggest common factor number is the GCF number.
So the greatest common factor 8784,8172 is 36.
Lets's calculate LCM of 216,3487
Given numbers has no common factors except 1. So, there LCM is their product i.e 753192
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 36/753192
Therefore, the GCF of Fractions 8784/216,8172/3487 is 36/753192
Least Common Multiple of 216,3487 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 216,3487 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(216,3487) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(216,3487) x common factors =1 x 1 = 1
LCM(216,3487) = ( 216 × 3487 ) / 1
LCM(216,3487) = 753192 / 1
LCM(216,3487) = 753192
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FAQs on GCF of Fractions of 8784/216, 8172/3487
1. What is the HCF of 8784,8172?
The HCF of 8784,8172 is 36
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 8784/216, 8172/3487?
Answer: GCF of Numerators as per given numbers 8784/216, 8172/3487 is
GCF of Numerators i.e. for 8784,8172 is 36
LCM of denominators i.e. for 216,3487 is 753192.
Thus, GCF of Fractions is 36/753192.Finally, GCF of Fractions for 8784/216, 8172/3487 is 36/753192.