GCF of 8442/560, 7821/3569
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8442/560, 7821/3569 i.e 9/1998640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8442/560, 7821/3569.
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 8442/560,7821/3569?
Given fractions are 8442/560,7821/3569
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 8442/560,7821/3569, numerators are 8442,7821
Denominators are 560,3569
The GCF of 8442,7821 is 9 .
LCM of 560,3569 is 1998640.
The greatest common factor of 8442/560,7821/3569 = [GCF of 8442,7821]/[LCM of 560,3569]= 9/1998640
Therefore, the GCF of 8442/560,7821/3569 is 9/1998640.
To find the highest common factor of 8442,7821, we have to find the factors of both numbers and list the highest common factor.
The factors of 8442 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 67, 126, 134, 201, 402, 469, 603, 938, 1206, 1407, 2814, 4221, 8442
The factors of 7821 are 1, 3, 9, 11, 33, 79, 99, 237, 711, 869, 2607, 7821
The HCF of 8442,7821 is 9.
Lets's calculate GCF of 8442,7821
| 3 | 8442, 7821 |
| 3 | 2814, 2607 |
| 938, 869 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 8442,7821 By Matching Biggest Common Factor Method
Now, list down the factors of 8442
:1,2,3,6,7,9,14,18,21,42,63,67,126,134,201,402,469,603,938,1206,1407,2814,4221,8442
Now, list down the factors of 7821
:1,3,9,11,33,79,99,237,711,869,2607,7821
Greatest Common Factor
We found the factors 8442,7821 . The biggest common factor number is the GCF number.
So the greatest common factor 8442,7821 is 9.
Lets's calculate LCM of 560,3569
Given numbers has no common factors except 1. So, there LCM is their product i.e 1998640
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/1998640
Therefore, the GCF of Fractions 8442/560,7821/3569 is 9/1998640
Least Common Multiple of 560,3569 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 560,3569 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(560,3569) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(560,3569) x common factors =1 x 1 = 1
LCM(560,3569) = ( 560 × 3569 ) / 1
LCM(560,3569) = 1998640 / 1
LCM(560,3569) = 1998640
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FAQs on GCF of Fractions of 8442/560, 7821/3569
1. What is the HCF of 8442,7821?
The HCF of 8442,7821 is 9
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 8442/560, 7821/3569?
Answer: GCF of Numerators as per given numbers 8442/560, 7821/3569 is
GCF of Numerators i.e. for 8442,7821 is 9
LCM of denominators i.e. for 560,3569 is 1998640.
Thus, GCF of Fractions is 9/1998640.Finally, GCF of Fractions for 8442/560, 7821/3569 is 9/1998640.