GCF of 7639/692, 1728/7144
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7639/692, 1728/7144 i.e 1/1235912 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7639/692, 1728/7144.
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 7639/692,1728/7144?
Given fractions are 7639/692,1728/7144
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 7639/692,1728/7144, numerators are 7639,1728
Denominators are 692,7144
The GCF of 7639,1728 is 1 .
LCM of 692,7144 is 1235912.
The greatest common factor of 7639/692,1728/7144 = [GCF of 7639,1728]/[LCM of 692,7144]= 1/1235912
Therefore, the GCF of 7639/692,1728/7144 is 1/1235912.
To find the highest common factor of 7639,1728, we have to find the factors of both numbers and list the highest common factor.
The factors of 7639 are 1, 7639
The factors of 1728 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 64, 72, 96, 108, 144, 192, 216, 288, 432, 576, 864, 1728
The HCF of 7639,1728 is 1.
Lets's calculate GCF of 7639,1728
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7639,1728 By Matching Biggest Common Factor Method
Now, list down the factors of 7639
:1,7639
Now, list down the factors of 1728
:1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,64,72,96,108,144,192,216,288,432,576,864,1728
Greatest Common Factor
We found the factors 7639,1728 . The biggest common factor number is the GCF number.
So the greatest common factor 7639,1728 is 1.
Lets's calculate LCM of 692,7144
| 2 | 692, 7144 |
| 2 | 346, 3572 |
| 173, 1786 |
∴ So the LCM of the given numbers is 2 x 2 x 173 x 1786 = 1235912
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1235912
Therefore, the GCF of Fractions 7639/692,1728/7144 is 1/1235912
Least Common Multiple of 692,7144 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 692,7144 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(692,7144) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(692,7144) x common factors =4 x 1 = 4
LCM(692,7144) = ( 692 × 7144 ) / 4
LCM(692,7144) = 4943648 / 4
LCM(692,7144) = 1235912
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FAQs on GCF of Fractions of 7639/692, 1728/7144
1. What is the HCF of 7639,1728?
The HCF of 7639,1728 is 1
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 7639/692, 1728/7144?
Answer: GCF of Numerators as per given numbers 7639/692, 1728/7144 is
GCF of Numerators i.e. for 7639,1728 is 1
LCM of denominators i.e. for 692,7144 is 1235912.
Thus, GCF of Fractions is 1/1235912.Finally, GCF of Fractions for 7639/692, 1728/7144 is 1/1235912.