GCF of 9618/604, 5754/3702
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9618/604, 5754/3702 i.e 42/1118004 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9618/604, 5754/3702.
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 9618/604,5754/3702?
Given fractions are 9618/604,5754/3702
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 9618/604,5754/3702, numerators are 9618,5754
Denominators are 604,3702
The GCF of 9618,5754 is 42 .
LCM of 604,3702 is 1118004.
The greatest common factor of 9618/604,5754/3702 = [GCF of 9618,5754]/[LCM of 604,3702]= 42/1118004
Therefore, the GCF of 9618/604,5754/3702 is 42/1118004.
To find the highest common factor of 9618,5754, we have to find the factors of both numbers and list the highest common factor.
The factors of 9618 are 1, 2, 3, 6, 7, 14, 21, 42, 229, 458, 687, 1374, 1603, 3206, 4809, 9618
The factors of 5754 are 1, 2, 3, 6, 7, 14, 21, 42, 137, 274, 411, 822, 959, 1918, 2877, 5754
The HCF of 9618,5754 is 42.
Lets's calculate GCF of 9618,5754
| 2 | 9618, 5754 |
| 3 | 4809, 2877 |
| 7 | 1603, 959 |
| 229, 137 |
∴ So the GCF of the given numbers is 2 x 3 x 7 = 42
Greatest Common Factor of 9618,5754 By Matching Biggest Common Factor Method
Now, list down the factors of 9618
:1,2,3,6,7,14,21,42,229,458,687,1374,1603,3206,4809,9618
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 9618,5754 . The biggest common factor number is the GCF number.
So the greatest common factor 9618,5754 is 42.
Lets's calculate LCM of 604,3702
| 2 | 604, 3702 |
| 302, 1851 |
∴ So the LCM of the given numbers is 2 x 302 x 1851 = 1118004
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 42/1118004
Therefore, the GCF of Fractions 9618/604,5754/3702 is 42/1118004
Least Common Multiple of 604,3702 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 604,3702 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(604,3702) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(604,3702) x common factors =2 x 1 = 2
LCM(604,3702) = ( 604 × 3702 ) / 2
LCM(604,3702) = 2236008 / 2
LCM(604,3702) = 1118004
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FAQs on GCF of Fractions of 9618/604, 5754/3702
1. What is the HCF of 9618,5754?
The HCF of 9618,5754 is 42
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 9618/604, 5754/3702?
Answer: GCF of Numerators as per given numbers 9618/604, 5754/3702 is
GCF of Numerators i.e. for 9618,5754 is 42
LCM of denominators i.e. for 604,3702 is 1118004.
Thus, GCF of Fractions is 42/1118004.Finally, GCF of Fractions for 9618/604, 5754/3702 is 42/1118004.