GCF of 8544/730, 4428/971
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8544/730, 4428/971 i.e 12/708830 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8544/730, 4428/971.
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 8544/730,4428/971?
Given fractions are 8544/730,4428/971
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 8544/730,4428/971, numerators are 8544,4428
Denominators are 730,971
The GCF of 8544,4428 is 12 .
LCM of 730,971 is 708830.
The greatest common factor of 8544/730,4428/971 = [GCF of 8544,4428]/[LCM of 730,971]= 12/708830
Therefore, the GCF of 8544/730,4428/971 is 12/708830.
To find the highest common factor of 8544,4428, we have to find the factors of both numbers and list the highest common factor.
The factors of 8544 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 89, 96, 178, 267, 356, 534, 712, 1068, 1424, 2136, 2848, 4272, 8544
The factors of 4428 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 41, 54, 82, 108, 123, 164, 246, 369, 492, 738, 1107, 1476, 2214, 4428
The HCF of 8544,4428 is 12.
Lets's calculate GCF of 8544,4428
| 2 | 8544, 4428 |
| 2 | 4272, 2214 |
| 3 | 2136, 1107 |
| 712, 369 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 8544,4428 By Matching Biggest Common Factor Method
Now, list down the factors of 8544
:1,2,3,4,6,8,12,16,24,32,48,89,96,178,267,356,534,712,1068,1424,2136,2848,4272,8544
Now, list down the factors of 4428
:1,2,3,4,6,9,12,18,27,36,41,54,82,108,123,164,246,369,492,738,1107,1476,2214,4428
Greatest Common Factor
We found the factors 8544,4428 . The biggest common factor number is the GCF number.
So the greatest common factor 8544,4428 is 12.
Lets's calculate LCM of 730,971
Given numbers has no common factors except 1. So, there LCM is their product i.e 708830
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/708830
Therefore, the GCF of Fractions 8544/730,4428/971 is 12/708830
Least Common Multiple of 730,971 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 730,971 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(730,971) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(730,971) x common factors =1 x 1 = 1
LCM(730,971) = ( 730 × 971 ) / 1
LCM(730,971) = 708830 / 1
LCM(730,971) = 708830
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FAQs on GCF of Fractions of 8544/730, 4428/971
1. What is the HCF of 8544,4428?
The HCF of 8544,4428 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 8544/730, 4428/971?
Answer: GCF of Numerators as per given numbers 8544/730, 4428/971 is
GCF of Numerators i.e. for 8544,4428 is 12
LCM of denominators i.e. for 730,971 is 708830.
Thus, GCF of Fractions is 12/708830.Finally, GCF of Fractions for 8544/730, 4428/971 is 12/708830.