GCF of 7842/477, 5754/9607
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7842/477, 5754/9607 i.e 6/4582539 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7842/477, 5754/9607.
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 7842/477,5754/9607?
Given fractions are 7842/477,5754/9607
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 7842/477,5754/9607, numerators are 7842,5754
Denominators are 477,9607
The GCF of 7842,5754 is 6 .
LCM of 477,9607 is 4582539.
The greatest common factor of 7842/477,5754/9607 = [GCF of 7842,5754]/[LCM of 477,9607]= 6/4582539
Therefore, the GCF of 7842/477,5754/9607 is 6/4582539.
To find the highest common factor of 7842,5754, we have to find the factors of both numbers and list the highest common factor.
The factors of 7842 are 1, 2, 3, 6, 1307, 2614, 3921, 7842
The factors of 5754 are 1, 2, 3, 6, 7, 14, 21, 42, 137, 274, 411, 822, 959, 1918, 2877, 5754
The HCF of 7842,5754 is 6.
Lets's calculate GCF of 7842,5754
| 2 | 7842, 5754 |
| 3 | 3921, 2877 |
| 1307, 959 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 7842,5754 By Matching Biggest Common Factor Method
Now, list down the factors of 7842
:1,2,3,6,1307,2614,3921,7842
Now, list down the factors of 5754
:1,2,3,6,7,14,21,42,137,274,411,822,959,1918,2877,5754
Greatest Common Factor
We found the factors 7842,5754 . The biggest common factor number is the GCF number.
So the greatest common factor 7842,5754 is 6.
Lets's calculate LCM of 477,9607
Given numbers has no common factors except 1. So, there LCM is their product i.e 4582539
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/4582539
Therefore, the GCF of Fractions 7842/477,5754/9607 is 6/4582539
Least Common Multiple of 477,9607 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 477,9607 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(477,9607) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(477,9607) x common factors =1 x 1 = 1
LCM(477,9607) = ( 477 × 9607 ) / 1
LCM(477,9607) = 4582539 / 1
LCM(477,9607) = 4582539
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FAQs on GCF of Fractions of 7842/477, 5754/9607
1. What is the HCF of 7842,5754?
The HCF of 7842,5754 is 6
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 7842/477, 5754/9607?
Answer: GCF of Numerators as per given numbers 7842/477, 5754/9607 is
GCF of Numerators i.e. for 7842,5754 is 6
LCM of denominators i.e. for 477,9607 is 4582539.
Thus, GCF of Fractions is 6/4582539.Finally, GCF of Fractions for 7842/477, 5754/9607 is 6/4582539.