GCF of 2703/649, 3410/5509
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2703/649, 3410/5509 i.e 1/3575341 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2703/649, 3410/5509.
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 2703/649,3410/5509?
Given fractions are 2703/649,3410/5509
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 2703/649,3410/5509, numerators are 2703,3410
Denominators are 649,5509
The GCF of 2703,3410 is 1 .
LCM of 649,5509 is 3575341.
The greatest common factor of 2703/649,3410/5509 = [GCF of 2703,3410]/[LCM of 649,5509]= 1/3575341
Therefore, the GCF of 2703/649,3410/5509 is 1/3575341.
To find the highest common factor of 2703,3410, we have to find the factors of both numbers and list the highest common factor.
The factors of 2703 are 1, 3, 17, 51, 53, 159, 901, 2703
The factors of 3410 are 1, 2, 5, 10, 11, 22, 31, 55, 62, 110, 155, 310, 341, 682, 1705, 3410
The HCF of 2703,3410 is 1.
Lets's calculate GCF of 2703,3410
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2703,3410 By Matching Biggest Common Factor Method
Now, list down the factors of 2703
:1,3,17,51,53,159,901,2703
Now, list down the factors of 3410
:1,2,5,10,11,22,31,55,62,110,155,310,341,682,1705,3410
Greatest Common Factor
We found the factors 2703,3410 . The biggest common factor number is the GCF number.
So the greatest common factor 2703,3410 is 1.
Lets's calculate LCM of 649,5509
Given numbers has no common factors except 1. So, there LCM is their product i.e 3575341
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3575341
Therefore, the GCF of Fractions 2703/649,3410/5509 is 1/3575341
Least Common Multiple of 649,5509 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 649,5509 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(649,5509) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(649,5509) x common factors =1 x 1 = 1
LCM(649,5509) = ( 649 × 5509 ) / 1
LCM(649,5509) = 3575341 / 1
LCM(649,5509) = 3575341
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FAQs on GCF of Fractions of 2703/649, 3410/5509
1. What is the HCF of 2703,3410?
The HCF of 2703,3410 is 1
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 2703/649, 3410/5509?
Answer: GCF of Numerators as per given numbers 2703/649, 3410/5509 is
GCF of Numerators i.e. for 2703,3410 is 1
LCM of denominators i.e. for 649,5509 is 3575341.
Thus, GCF of Fractions is 1/3575341.Finally, GCF of Fractions for 2703/649, 3410/5509 is 1/3575341.