GCF of 3135/262, 7655/5032
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3135/262, 7655/5032 i.e 5/659192 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3135/262, 7655/5032.
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 3135/262,7655/5032?
Given fractions are 3135/262,7655/5032
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 3135/262,7655/5032, numerators are 3135,7655
Denominators are 262,5032
The GCF of 3135,7655 is 5 .
LCM of 262,5032 is 659192.
The greatest common factor of 3135/262,7655/5032 = [GCF of 3135,7655]/[LCM of 262,5032]= 5/659192
Therefore, the GCF of 3135/262,7655/5032 is 5/659192.
To find the highest common factor of 3135,7655, we have to find the factors of both numbers and list the highest common factor.
The factors of 3135 are 1, 3, 5, 11, 15, 19, 33, 55, 57, 95, 165, 209, 285, 627, 1045, 3135
The factors of 7655 are 1, 5, 1531, 7655
The HCF of 3135,7655 is 5.
Lets's calculate GCF of 3135,7655
| 5 | 3135, 7655 |
| 627, 1531 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 3135,7655 By Matching Biggest Common Factor Method
Now, list down the factors of 3135
:1,3,5,11,15,19,33,55,57,95,165,209,285,627,1045,3135
Now, list down the factors of 7655
:1,5,1531,7655
Greatest Common Factor
We found the factors 3135,7655 . The biggest common factor number is the GCF number.
So the greatest common factor 3135,7655 is 5.
Lets's calculate LCM of 262,5032
| 2 | 262, 5032 |
| 131, 2516 |
∴ So the LCM of the given numbers is 2 x 131 x 2516 = 659192
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/659192
Therefore, the GCF of Fractions 3135/262,7655/5032 is 5/659192
Least Common Multiple of 262,5032 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 262,5032 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(262,5032) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(262,5032) x common factors =2 x 1 = 2
LCM(262,5032) = ( 262 × 5032 ) / 2
LCM(262,5032) = 1318384 / 2
LCM(262,5032) = 659192
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FAQs on GCF of Fractions of 3135/262, 7655/5032
1. What is the HCF of 3135,7655?
The HCF of 3135,7655 is 5
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 3135/262, 7655/5032?
Answer: GCF of Numerators as per given numbers 3135/262, 7655/5032 is
GCF of Numerators i.e. for 3135,7655 is 5
LCM of denominators i.e. for 262,5032 is 659192.
Thus, GCF of Fractions is 5/659192.Finally, GCF of Fractions for 3135/262, 7655/5032 is 5/659192.