GCF of 7349/889, 2320/506
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7349/889, 2320/506 i.e 1/449834 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7349/889, 2320/506.
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 7349/889,2320/506?
Given fractions are 7349/889,2320/506
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 7349/889,2320/506, numerators are 7349,2320
Denominators are 889,506
The GCF of 7349,2320 is 1 .
LCM of 889,506 is 449834.
The greatest common factor of 7349/889,2320/506 = [GCF of 7349,2320]/[LCM of 889,506]= 1/449834
Therefore, the GCF of 7349/889,2320/506 is 1/449834.
To find the highest common factor of 7349,2320, we have to find the factors of both numbers and list the highest common factor.
The factors of 7349 are 1, 7349
The factors of 2320 are 1, 2, 4, 5, 8, 10, 16, 20, 29, 40, 58, 80, 116, 145, 232, 290, 464, 580, 1160, 2320
The HCF of 7349,2320 is 1.
Lets's calculate GCF of 7349,2320
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7349,2320 By Matching Biggest Common Factor Method
Now, list down the factors of 7349
:1,7349
Now, list down the factors of 2320
:1,2,4,5,8,10,16,20,29,40,58,80,116,145,232,290,464,580,1160,2320
Greatest Common Factor
We found the factors 7349,2320 . The biggest common factor number is the GCF number.
So the greatest common factor 7349,2320 is 1.
Lets's calculate LCM of 889,506
Given numbers has no common factors except 1. So, there LCM is their product i.e 449834
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/449834
Therefore, the GCF of Fractions 7349/889,2320/506 is 1/449834
Least Common Multiple of 889,506 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 889,506 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(889,506) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(889,506) x common factors =1 x 1 = 1
LCM(889,506) = ( 889 × 506 ) / 1
LCM(889,506) = 449834 / 1
LCM(889,506) = 449834
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FAQs on GCF of Fractions of 7349/889, 2320/506
1. What is the HCF of 7349,2320?
The HCF of 7349,2320 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 7349/889, 2320/506?
Answer: GCF of Numerators as per given numbers 7349/889, 2320/506 is
GCF of Numerators i.e. for 7349,2320 is 1
LCM of denominators i.e. for 889,506 is 449834.
Thus, GCF of Fractions is 1/449834.Finally, GCF of Fractions for 7349/889, 2320/506 is 1/449834.