GCF of 3635/901, 5530/7692
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3635/901, 5530/7692 i.e 5/6930492 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3635/901, 5530/7692.
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 3635/901,5530/7692?
Given fractions are 3635/901,5530/7692
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 3635/901,5530/7692, numerators are 3635,5530
Denominators are 901,7692
The GCF of 3635,5530 is 5 .
LCM of 901,7692 is 6930492.
The greatest common factor of 3635/901,5530/7692 = [GCF of 3635,5530]/[LCM of 901,7692]= 5/6930492
Therefore, the GCF of 3635/901,5530/7692 is 5/6930492.
To find the highest common factor of 3635,5530, we have to find the factors of both numbers and list the highest common factor.
The factors of 3635 are 1, 5, 727, 3635
The factors of 5530 are 1, 2, 5, 7, 10, 14, 35, 70, 79, 158, 395, 553, 790, 1106, 2765, 5530
The HCF of 3635,5530 is 5.
Lets's calculate GCF of 3635,5530
| 5 | 3635, 5530 |
| 727, 1106 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 3635,5530 By Matching Biggest Common Factor Method
Now, list down the factors of 3635
:1,5,727,3635
Now, list down the factors of 5530
:1,2,5,7,10,14,35,70,79,158,395,553,790,1106,2765,5530
Greatest Common Factor
We found the factors 3635,5530 . The biggest common factor number is the GCF number.
So the greatest common factor 3635,5530 is 5.
Lets's calculate LCM of 901,7692
Given numbers has no common factors except 1. So, there LCM is their product i.e 6930492
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/6930492
Therefore, the GCF of Fractions 3635/901,5530/7692 is 5/6930492
Least Common Multiple of 901,7692 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 901,7692 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(901,7692) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(901,7692) x common factors =1 x 1 = 1
LCM(901,7692) = ( 901 × 7692 ) / 1
LCM(901,7692) = 6930492 / 1
LCM(901,7692) = 6930492
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FAQs on GCF of Fractions of 3635/901, 5530/7692
1. What is the HCF of 3635,5530?
The HCF of 3635,5530 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 3635/901, 5530/7692?
Answer: GCF of Numerators as per given numbers 3635/901, 5530/7692 is
GCF of Numerators i.e. for 3635,5530 is 5
LCM of denominators i.e. for 901,7692 is 6930492.
Thus, GCF of Fractions is 5/6930492.Finally, GCF of Fractions for 3635/901, 5530/7692 is 5/6930492.