GCF of 9048/602, 9663/5874
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9048/602, 9663/5874 i.e 3/1768074 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9048/602, 9663/5874.
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 9048/602,9663/5874?
Given fractions are 9048/602,9663/5874
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 9048/602,9663/5874, numerators are 9048,9663
Denominators are 602,5874
The GCF of 9048,9663 is 3 .
LCM of 602,5874 is 1768074.
The greatest common factor of 9048/602,9663/5874 = [GCF of 9048,9663]/[LCM of 602,5874]= 3/1768074
Therefore, the GCF of 9048/602,9663/5874 is 3/1768074.
To find the highest common factor of 9048,9663, we have to find the factors of both numbers and list the highest common factor.
The factors of 9048 are 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 29, 39, 52, 58, 78, 87, 104, 116, 156, 174, 232, 312, 348, 377, 696, 754, 1131, 1508, 2262, 3016, 4524, 9048
The factors of 9663 are 1, 3, 3221, 9663
The HCF of 9048,9663 is 3.
Lets's calculate GCF of 9048,9663
| 3 | 9048, 9663 |
| 3016, 3221 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9048,9663 By Matching Biggest Common Factor Method
Now, list down the factors of 9048
:1,2,3,4,6,8,12,13,24,26,29,39,52,58,78,87,104,116,156,174,232,312,348,377,696,754,1131,1508,2262,3016,4524,9048
Now, list down the factors of 9663
:1,3,3221,9663
Greatest Common Factor
We found the factors 9048,9663 . The biggest common factor number is the GCF number.
So the greatest common factor 9048,9663 is 3.
Lets's calculate LCM of 602,5874
| 2 | 602, 5874 |
| 301, 2937 |
∴ So the LCM of the given numbers is 2 x 301 x 2937 = 1768074
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1768074
Therefore, the GCF of Fractions 9048/602,9663/5874 is 3/1768074
Least Common Multiple of 602,5874 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 602,5874 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(602,5874) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(602,5874) x common factors =2 x 1 = 2
LCM(602,5874) = ( 602 × 5874 ) / 2
LCM(602,5874) = 3536148 / 2
LCM(602,5874) = 1768074
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FAQs on GCF of Fractions of 9048/602, 9663/5874
1. What is the HCF of 9048,9663?
The HCF of 9048,9663 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 9048/602, 9663/5874?
Answer: GCF of Numerators as per given numbers 9048/602, 9663/5874 is
GCF of Numerators i.e. for 9048,9663 is 3
LCM of denominators i.e. for 602,5874 is 1768074.
Thus, GCF of Fractions is 3/1768074.Finally, GCF of Fractions for 9048/602, 9663/5874 is 3/1768074.