GCF of 9672/454, 9724/8023
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9672/454, 9724/8023 i.e 52/3642442 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9672/454, 9724/8023.
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 9672/454,9724/8023?
Given fractions are 9672/454,9724/8023
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 9672/454,9724/8023, numerators are 9672,9724
Denominators are 454,8023
The GCF of 9672,9724 is 52 .
LCM of 454,8023 is 3642442.
The greatest common factor of 9672/454,9724/8023 = [GCF of 9672,9724]/[LCM of 454,8023]= 52/3642442
Therefore, the GCF of 9672/454,9724/8023 is 52/3642442.
To find the highest common factor of 9672,9724, we have to find the factors of both numbers and list the highest common factor.
The factors of 9672 are 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 31, 39, 52, 62, 78, 93, 104, 124, 156, 186, 248, 312, 372, 403, 744, 806, 1209, 1612, 2418, 3224, 4836, 9672
The factors of 9724 are 1, 2, 4, 11, 13, 17, 22, 26, 34, 44, 52, 68, 143, 187, 221, 286, 374, 442, 572, 748, 884, 2431, 4862, 9724
The HCF of 9672,9724 is 52.
Lets's calculate GCF of 9672,9724
| 2 | 9672, 9724 |
| 2 | 4836, 4862 |
| 13 | 2418, 2431 |
| 186, 187 |
∴ So the GCF of the given numbers is 2 x 2 x 13 = 52
Greatest Common Factor of 9672,9724 By Matching Biggest Common Factor Method
Now, list down the factors of 9672
:1,2,3,4,6,8,12,13,24,26,31,39,52,62,78,93,104,124,156,186,248,312,372,403,744,806,1209,1612,2418,3224,4836,9672
Now, list down the factors of 9724
:1,2,4,11,13,17,22,26,34,44,52,68,143,187,221,286,374,442,572,748,884,2431,4862,9724
Greatest Common Factor
We found the factors 9672,9724 . The biggest common factor number is the GCF number.
So the greatest common factor 9672,9724 is 52.
Lets's calculate LCM of 454,8023
Given numbers has no common factors except 1. So, there LCM is their product i.e 3642442
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 52/3642442
Therefore, the GCF of Fractions 9672/454,9724/8023 is 52/3642442
Least Common Multiple of 454,8023 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 454,8023 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(454,8023) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(454,8023) x common factors =1 x 1 = 1
LCM(454,8023) = ( 454 × 8023 ) / 1
LCM(454,8023) = 3642442 / 1
LCM(454,8023) = 3642442
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FAQs on GCF of Fractions of 9672/454, 9724/8023
1. What is the HCF of 9672,9724?
The HCF of 9672,9724 is 52
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 9672/454, 9724/8023?
Answer: GCF of Numerators as per given numbers 9672/454, 9724/8023 is
GCF of Numerators i.e. for 9672,9724 is 52
LCM of denominators i.e. for 454,8023 is 3642442.
Thus, GCF of Fractions is 52/3642442.Finally, GCF of Fractions for 9672/454, 9724/8023 is 52/3642442.