GCF of 2725/938, 7832/6728
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2725/938, 7832/6728 i.e 1/3155432 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2725/938, 7832/6728.
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 2725/938,7832/6728?
Given fractions are 2725/938,7832/6728
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 2725/938,7832/6728, numerators are 2725,7832
Denominators are 938,6728
The GCF of 2725,7832 is 1 .
LCM of 938,6728 is 3155432.
The greatest common factor of 2725/938,7832/6728 = [GCF of 2725,7832]/[LCM of 938,6728]= 1/3155432
Therefore, the GCF of 2725/938,7832/6728 is 1/3155432.
To find the highest common factor of 2725,7832, we have to find the factors of both numbers and list the highest common factor.
The factors of 2725 are 1, 5, 25, 109, 545, 2725
The factors of 7832 are 1, 2, 4, 8, 11, 22, 44, 88, 89, 178, 356, 712, 979, 1958, 3916, 7832
The HCF of 2725,7832 is 1.
Lets's calculate GCF of 2725,7832
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2725,7832 By Matching Biggest Common Factor Method
Now, list down the factors of 2725
:1,5,25,109,545,2725
Now, list down the factors of 7832
:1,2,4,8,11,22,44,88,89,178,356,712,979,1958,3916,7832
Greatest Common Factor
We found the factors 2725,7832 . The biggest common factor number is the GCF number.
So the greatest common factor 2725,7832 is 1.
Lets's calculate LCM of 938,6728
| 2 | 938, 6728 |
| 469, 3364 |
∴ So the LCM of the given numbers is 2 x 469 x 3364 = 3155432
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3155432
Therefore, the GCF of Fractions 2725/938,7832/6728 is 1/3155432
Least Common Multiple of 938,6728 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 938,6728 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(938,6728) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(938,6728) x common factors =2 x 1 = 2
LCM(938,6728) = ( 938 × 6728 ) / 2
LCM(938,6728) = 6310864 / 2
LCM(938,6728) = 3155432
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FAQs on GCF of Fractions of 2725/938, 7832/6728
1. What is the HCF of 2725,7832?
The HCF of 2725,7832 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 2725/938, 7832/6728?
Answer: GCF of Numerators as per given numbers 2725/938, 7832/6728 is
GCF of Numerators i.e. for 2725,7832 is 1
LCM of denominators i.e. for 938,6728 is 3155432.
Thus, GCF of Fractions is 1/3155432.Finally, GCF of Fractions for 2725/938, 7832/6728 is 1/3155432.