GCF of 7368/832, 8172/939
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7368/832, 8172/939 i.e 12/781248 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7368/832, 8172/939.
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 7368/832,8172/939?
Given fractions are 7368/832,8172/939
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 7368/832,8172/939, numerators are 7368,8172
Denominators are 832,939
The GCF of 7368,8172 is 12 .
LCM of 832,939 is 781248.
The greatest common factor of 7368/832,8172/939 = [GCF of 7368,8172]/[LCM of 832,939]= 12/781248
Therefore, the GCF of 7368/832,8172/939 is 12/781248.
To find the highest common factor of 7368,8172, we have to find the factors of both numbers and list the highest common factor.
The factors of 7368 are 1, 2, 3, 4, 6, 8, 12, 24, 307, 614, 921, 1228, 1842, 2456, 3684, 7368
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 7368,8172 is 12.
Lets's calculate GCF of 7368,8172
| 2 | 7368, 8172 |
| 2 | 3684, 4086 |
| 3 | 1842, 2043 |
| 614, 681 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 7368,8172 By Matching Biggest Common Factor Method
Now, list down the factors of 7368
:1,2,3,4,6,8,12,24,307,614,921,1228,1842,2456,3684,7368
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 7368,8172 . The biggest common factor number is the GCF number.
So the greatest common factor 7368,8172 is 12.
Lets's calculate LCM of 832,939
Given numbers has no common factors except 1. So, there LCM is their product i.e 781248
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/781248
Therefore, the GCF of Fractions 7368/832,8172/939 is 12/781248
Least Common Multiple of 832,939 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 832,939 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(832,939) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(832,939) x common factors =1 x 1 = 1
LCM(832,939) = ( 832 × 939 ) / 1
LCM(832,939) = 781248 / 1
LCM(832,939) = 781248
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FAQs on GCF of Fractions of 7368/832, 8172/939
1. What is the HCF of 7368,8172?
The HCF of 7368,8172 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 7368/832, 8172/939?
Answer: GCF of Numerators as per given numbers 7368/832, 8172/939 is
GCF of Numerators i.e. for 7368,8172 is 12
LCM of denominators i.e. for 832,939 is 781248.
Thus, GCF of Fractions is 12/781248.Finally, GCF of Fractions for 7368/832, 8172/939 is 12/781248.