GCF of 353/677, 2388/1088
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 353/677, 2388/1088 i.e 1/736576 easily. The following is the detailed procedure to determine the greatest common factor of fractions 353/677, 2388/1088.
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 353/677,2388/1088?
Given fractions are 353/677,2388/1088
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 353/677,2388/1088, numerators are 353,2388
Denominators are 677,1088
The GCF of 353,2388 is 1 .
LCM of 677,1088 is 736576.
The greatest common factor of 353/677,2388/1088 = [GCF of 353,2388]/[LCM of 677,1088]= 1/736576
Therefore, the GCF of 353/677,2388/1088 is 1/736576.
To find the highest common factor of 353,2388, we have to find the factors of both numbers and list the highest common factor.
The factors of 353 are 1, 353
The factors of 2388 are 1, 2, 3, 4, 6, 12, 199, 398, 597, 796, 1194, 2388
The HCF of 353,2388 is 1.
Lets's calculate GCF of 353,2388
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 353,2388 By Matching Biggest Common Factor Method
Now, list down the factors of 353
:1,353
Now, list down the factors of 2388
:1,2,3,4,6,12,199,398,597,796,1194,2388
Greatest Common Factor
We found the factors 353,2388 . The biggest common factor number is the GCF number.
So the greatest common factor 353,2388 is 1.
Lets's calculate LCM of 677,1088
Given numbers has no common factors except 1. So, there LCM is their product i.e 736576
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/736576
Therefore, the GCF of Fractions 353/677,2388/1088 is 1/736576
Least Common Multiple of 677,1088 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 677,1088 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(677,1088) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(677,1088) x common factors =1 x 1 = 1
LCM(677,1088) = ( 677 × 1088 ) / 1
LCM(677,1088) = 736576 / 1
LCM(677,1088) = 736576
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FAQs on GCF of Fractions of 353/677, 2388/1088
1. What is the HCF of 353,2388?
The HCF of 353,2388 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 353/677, 2388/1088?
Answer: GCF of Numerators as per given numbers 353/677, 2388/1088 is
GCF of Numerators i.e. for 353,2388 is 1
LCM of denominators i.e. for 677,1088 is 736576.
Thus, GCF of Fractions is 1/736576.Finally, GCF of Fractions for 353/677, 2388/1088 is 1/736576.