GCF of 9594/870, 7344/532
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9594/870, 7344/532 i.e 18/231420 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9594/870, 7344/532.
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 9594/870,7344/532?
Given fractions are 9594/870,7344/532
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 9594/870,7344/532, numerators are 9594,7344
Denominators are 870,532
The GCF of 9594,7344 is 18 .
LCM of 870,532 is 231420.
The greatest common factor of 9594/870,7344/532 = [GCF of 9594,7344]/[LCM of 870,532]= 18/231420
Therefore, the GCF of 9594/870,7344/532 is 18/231420.
To find the highest common factor of 9594,7344, we have to find the factors of both numbers and list the highest common factor.
The factors of 9594 are 1, 2, 3, 6, 9, 13, 18, 26, 39, 41, 78, 82, 117, 123, 234, 246, 369, 533, 738, 1066, 1599, 3198, 4797, 9594
The factors of 7344 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 17, 18, 24, 27, 34, 36, 48, 51, 54, 68, 72, 102, 108, 136, 144, 153, 204, 216, 272, 306, 408, 432, 459, 612, 816, 918, 1224, 1836, 2448, 3672, 7344
The HCF of 9594,7344 is 18.
Lets's calculate GCF of 9594,7344
| 2 | 9594, 7344 |
| 3 | 4797, 3672 |
| 3 | 1599, 1224 |
| 533, 408 |
∴ So the GCF of the given numbers is 2 x 3 x 3 = 18
Greatest Common Factor of 9594,7344 By Matching Biggest Common Factor Method
Now, list down the factors of 9594
:1,2,3,6,9,13,18,26,39,41,78,82,117,123,234,246,369,533,738,1066,1599,3198,4797,9594
Now, list down the factors of 7344
:1,2,3,4,6,8,9,12,16,17,18,24,27,34,36,48,51,54,68,72,102,108,136,144,153,204,216,272,306,408,432,459,612,816,918,1224,1836,2448,3672,7344
Greatest Common Factor
We found the factors 9594,7344 . The biggest common factor number is the GCF number.
So the greatest common factor 9594,7344 is 18.
Lets's calculate LCM of 870,532
| 2 | 870, 532 |
| 435, 266 |
∴ So the LCM of the given numbers is 2 x 435 x 266 = 231420
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/231420
Therefore, the GCF of Fractions 9594/870,7344/532 is 18/231420
Least Common Multiple of 870,532 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 870,532 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(870,532) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(870,532) x common factors =2 x 1 = 2
LCM(870,532) = ( 870 × 532 ) / 2
LCM(870,532) = 462840 / 2
LCM(870,532) = 231420
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FAQs on GCF of Fractions of 9594/870, 7344/532
1. What is the HCF of 9594,7344?
The HCF of 9594,7344 is 18
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 9594/870, 7344/532?
Answer: GCF of Numerators as per given numbers 9594/870, 7344/532 is
GCF of Numerators i.e. for 9594,7344 is 18
LCM of denominators i.e. for 870,532 is 231420.
Thus, GCF of Fractions is 18/231420.Finally, GCF of Fractions for 9594/870, 7344/532 is 18/231420.