GCF of 5847/635, 7020/2423
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5847/635, 7020/2423 i.e 3/1538605 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5847/635, 7020/2423.
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 5847/635,7020/2423?
Given fractions are 5847/635,7020/2423
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 5847/635,7020/2423, numerators are 5847,7020
Denominators are 635,2423
The GCF of 5847,7020 is 3 .
LCM of 635,2423 is 1538605.
The greatest common factor of 5847/635,7020/2423 = [GCF of 5847,7020]/[LCM of 635,2423]= 3/1538605
Therefore, the GCF of 5847/635,7020/2423 is 3/1538605.
To find the highest common factor of 5847,7020, we have to find the factors of both numbers and list the highest common factor.
The factors of 5847 are 1, 3, 1949, 5847
The factors of 7020 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 13, 15, 18, 20, 26, 27, 30, 36, 39, 45, 52, 54, 60, 65, 78, 90, 108, 117, 130, 135, 156, 180, 195, 234, 260, 270, 351, 390, 468, 540, 585, 702, 780, 1170, 1404, 1755, 2340, 3510, 7020
The HCF of 5847,7020 is 3.
Lets's calculate GCF of 5847,7020
| 3 | 5847, 7020 |
| 1949, 2340 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5847,7020 By Matching Biggest Common Factor Method
Now, list down the factors of 5847
:1,3,1949,5847
Now, list down the factors of 7020
:1,2,3,4,5,6,9,10,12,13,15,18,20,26,27,30,36,39,45,52,54,60,65,78,90,108,117,130,135,156,180,195,234,260,270,351,390,468,540,585,702,780,1170,1404,1755,2340,3510,7020
Greatest Common Factor
We found the factors 5847,7020 . The biggest common factor number is the GCF number.
So the greatest common factor 5847,7020 is 3.
Lets's calculate LCM of 635,2423
Given numbers has no common factors except 1. So, there LCM is their product i.e 1538605
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1538605
Therefore, the GCF of Fractions 5847/635,7020/2423 is 3/1538605
Least Common Multiple of 635,2423 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 635,2423 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(635,2423) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(635,2423) x common factors =1 x 1 = 1
LCM(635,2423) = ( 635 × 2423 ) / 1
LCM(635,2423) = 1538605 / 1
LCM(635,2423) = 1538605
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FAQs on GCF of Fractions of 5847/635, 7020/2423
1. What is the HCF of 5847,7020?
The HCF of 5847,7020 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 5847/635, 7020/2423?
Answer: GCF of Numerators as per given numbers 5847/635, 7020/2423 is
GCF of Numerators i.e. for 5847,7020 is 3
LCM of denominators i.e. for 635,2423 is 1538605.
Thus, GCF of Fractions is 3/1538605.Finally, GCF of Fractions for 5847/635, 7020/2423 is 3/1538605.