GCF of 7659/895, 9731/978
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7659/895, 9731/978 i.e 37/875310 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7659/895, 9731/978.
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 7659/895,9731/978?
Given fractions are 7659/895,9731/978
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 7659/895,9731/978, numerators are 7659,9731
Denominators are 895,978
The GCF of 7659,9731 is 37 .
LCM of 895,978 is 875310.
The greatest common factor of 7659/895,9731/978 = [GCF of 7659,9731]/[LCM of 895,978]= 37/875310
Therefore, the GCF of 7659/895,9731/978 is 37/875310.
To find the highest common factor of 7659,9731, we have to find the factors of both numbers and list the highest common factor.
The factors of 7659 are 1, 3, 9, 23, 37, 69, 111, 207, 333, 851, 2553, 7659
The factors of 9731 are 1, 37, 263, 9731
The HCF of 7659,9731 is 37.
Lets's calculate GCF of 7659,9731
| 37 | 7659, 9731 |
| 207, 263 |
∴ So the GCF of the given numbers is 37 = 37
Greatest Common Factor of 7659,9731 By Matching Biggest Common Factor Method
Now, list down the factors of 7659
:1,3,9,23,37,69,111,207,333,851,2553,7659
Now, list down the factors of 9731
:1,37,263,9731
Greatest Common Factor
We found the factors 7659,9731 . The biggest common factor number is the GCF number.
So the greatest common factor 7659,9731 is 37.
Lets's calculate LCM of 895,978
Given numbers has no common factors except 1. So, there LCM is their product i.e 875310
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 37/875310
Therefore, the GCF of Fractions 7659/895,9731/978 is 37/875310
Least Common Multiple of 895,978 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 895,978 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(895,978) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(895,978) x common factors =1 x 1 = 1
LCM(895,978) = ( 895 × 978 ) / 1
LCM(895,978) = 875310 / 1
LCM(895,978) = 875310
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FAQs on GCF of Fractions of 7659/895, 9731/978
1. What is the HCF of 7659,9731?
The HCF of 7659,9731 is 37
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 7659/895, 9731/978?
Answer: GCF of Numerators as per given numbers 7659/895, 9731/978 is
GCF of Numerators i.e. for 7659,9731 is 37
LCM of denominators i.e. for 895,978 is 875310.
Thus, GCF of Fractions is 37/875310.Finally, GCF of Fractions for 7659/895, 9731/978 is 37/875310.