GCF of 7647/905, 1986/970
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7647/905, 1986/970 i.e 3/175570 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7647/905, 1986/970.
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 7647/905,1986/970?
Given fractions are 7647/905,1986/970
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 7647/905,1986/970, numerators are 7647,1986
Denominators are 905,970
The GCF of 7647,1986 is 3 .
LCM of 905,970 is 175570.
The greatest common factor of 7647/905,1986/970 = [GCF of 7647,1986]/[LCM of 905,970]= 3/175570
Therefore, the GCF of 7647/905,1986/970 is 3/175570.
To find the highest common factor of 7647,1986, we have to find the factors of both numbers and list the highest common factor.
The factors of 7647 are 1, 3, 2549, 7647
The factors of 1986 are 1, 2, 3, 6, 331, 662, 993, 1986
The HCF of 7647,1986 is 3.
Lets's calculate GCF of 7647,1986
| 3 | 7647, 1986 |
| 2549, 662 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7647,1986 By Matching Biggest Common Factor Method
Now, list down the factors of 7647
:1,3,2549,7647
Now, list down the factors of 1986
:1,2,3,6,331,662,993,1986
Greatest Common Factor
We found the factors 7647,1986 . The biggest common factor number is the GCF number.
So the greatest common factor 7647,1986 is 3.
Lets's calculate LCM of 905,970
| 5 | 905, 970 |
| 181, 194 |
∴ So the LCM of the given numbers is 5 x 181 x 194 = 175570
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/175570
Therefore, the GCF of Fractions 7647/905,1986/970 is 3/175570
Least Common Multiple of 905,970 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 905,970 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(905,970) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(905,970) x common factors =5 x 1 = 5
LCM(905,970) = ( 905 × 970 ) / 5
LCM(905,970) = 877850 / 5
LCM(905,970) = 175570
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FAQs on GCF of Fractions of 7647/905, 1986/970
1. What is the HCF of 7647,1986?
The HCF of 7647,1986 is 3
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 7647/905, 1986/970?
Answer: GCF of Numerators as per given numbers 7647/905, 1986/970 is
GCF of Numerators i.e. for 7647,1986 is 3
LCM of denominators i.e. for 905,970 is 175570.
Thus, GCF of Fractions is 3/175570.Finally, GCF of Fractions for 7647/905, 1986/970 is 3/175570.