GCF of 3508/565, 7430/9009
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3508/565, 7430/9009 i.e 2/5090085 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3508/565, 7430/9009.
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 3508/565,7430/9009?
Given fractions are 3508/565,7430/9009
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 3508/565,7430/9009, numerators are 3508,7430
Denominators are 565,9009
The GCF of 3508,7430 is 2 .
LCM of 565,9009 is 5090085.
The greatest common factor of 3508/565,7430/9009 = [GCF of 3508,7430]/[LCM of 565,9009]= 2/5090085
Therefore, the GCF of 3508/565,7430/9009 is 2/5090085.
To find the highest common factor of 3508,7430, we have to find the factors of both numbers and list the highest common factor.
The factors of 3508 are 1, 2, 4, 877, 1754, 3508
The factors of 7430 are 1, 2, 5, 10, 743, 1486, 3715, 7430
The HCF of 3508,7430 is 2.
Lets's calculate GCF of 3508,7430
| 2 | 3508, 7430 |
| 1754, 3715 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3508,7430 By Matching Biggest Common Factor Method
Now, list down the factors of 3508
:1,2,4,877,1754,3508
Now, list down the factors of 7430
:1,2,5,10,743,1486,3715,7430
Greatest Common Factor
We found the factors 3508,7430 . The biggest common factor number is the GCF number.
So the greatest common factor 3508,7430 is 2.
Lets's calculate LCM of 565,9009
Given numbers has no common factors except 1. So, there LCM is their product i.e 5090085
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5090085
Therefore, the GCF of Fractions 3508/565,7430/9009 is 2/5090085
Least Common Multiple of 565,9009 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 565,9009 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(565,9009) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(565,9009) x common factors =1 x 1 = 1
LCM(565,9009) = ( 565 × 9009 ) / 1
LCM(565,9009) = 5090085 / 1
LCM(565,9009) = 5090085
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FAQs on GCF of Fractions of 3508/565, 7430/9009
1. What is the HCF of 3508,7430?
The HCF of 3508,7430 is 2
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 3508/565, 7430/9009?
Answer: GCF of Numerators as per given numbers 3508/565, 7430/9009 is
GCF of Numerators i.e. for 3508,7430 is 2
LCM of denominators i.e. for 565,9009 is 5090085.
Thus, GCF of Fractions is 2/5090085.Finally, GCF of Fractions for 3508/565, 7430/9009 is 2/5090085.