GCF of 7635/446, 5865/5830
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7635/446, 5865/5830 i.e 15/1300090 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7635/446, 5865/5830.
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 7635/446,5865/5830?
Given fractions are 7635/446,5865/5830
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 7635/446,5865/5830, numerators are 7635,5865
Denominators are 446,5830
The GCF of 7635,5865 is 15 .
LCM of 446,5830 is 1300090.
The greatest common factor of 7635/446,5865/5830 = [GCF of 7635,5865]/[LCM of 446,5830]= 15/1300090
Therefore, the GCF of 7635/446,5865/5830 is 15/1300090.
To find the highest common factor of 7635,5865, we have to find the factors of both numbers and list the highest common factor.
The factors of 7635 are 1, 3, 5, 15, 509, 1527, 2545, 7635
The factors of 5865 are 1, 3, 5, 15, 17, 23, 51, 69, 85, 115, 255, 345, 391, 1173, 1955, 5865
The HCF of 7635,5865 is 15.
Lets's calculate GCF of 7635,5865
| 3 | 7635, 5865 |
| 5 | 2545, 1955 |
| 509, 391 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Greatest Common Factor of 7635,5865 By Matching Biggest Common Factor Method
Now, list down the factors of 7635
:1,3,5,15,509,1527,2545,7635
Now, list down the factors of 5865
:1,3,5,15,17,23,51,69,85,115,255,345,391,1173,1955,5865
Greatest Common Factor
We found the factors 7635,5865 . The biggest common factor number is the GCF number.
So the greatest common factor 7635,5865 is 15.
Lets's calculate LCM of 446,5830
| 2 | 446, 5830 |
| 223, 2915 |
∴ So the LCM of the given numbers is 2 x 223 x 2915 = 1300090
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/1300090
Therefore, the GCF of Fractions 7635/446,5865/5830 is 15/1300090
Least Common Multiple of 446,5830 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 446,5830 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(446,5830) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(446,5830) x common factors =2 x 1 = 2
LCM(446,5830) = ( 446 × 5830 ) / 2
LCM(446,5830) = 2600180 / 2
LCM(446,5830) = 1300090
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FAQs on GCF of Fractions of 7635/446, 5865/5830
1. What is the HCF of 7635,5865?
The HCF of 7635,5865 is 15
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 7635/446, 5865/5830?
Answer: GCF of Numerators as per given numbers 7635/446, 5865/5830 is
GCF of Numerators i.e. for 7635,5865 is 15
LCM of denominators i.e. for 446,5830 is 1300090.
Thus, GCF of Fractions is 15/1300090.Finally, GCF of Fractions for 7635/446, 5865/5830 is 15/1300090.