GCF of 3453/699, 1456/1165
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3453/699, 1456/1165 i.e 1/3495 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3453/699, 1456/1165.
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 3453/699,1456/1165?
Given fractions are 3453/699,1456/1165
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 3453/699,1456/1165, numerators are 3453,1456
Denominators are 699,1165
The GCF of 3453,1456 is 1 .
LCM of 699,1165 is 3495.
The greatest common factor of 3453/699,1456/1165 = [GCF of 3453,1456]/[LCM of 699,1165]= 1/3495
Therefore, the GCF of 3453/699,1456/1165 is 1/3495.
To find the highest common factor of 3453,1456, we have to find the factors of both numbers and list the highest common factor.
The factors of 3453 are 1, 3, 1151, 3453
The factors of 1456 are 1, 2, 4, 7, 8, 13, 14, 16, 26, 28, 52, 56, 91, 104, 112, 182, 208, 364, 728, 1456
The HCF of 3453,1456 is 1.
Lets's calculate GCF of 3453,1456
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3453,1456 By Matching Biggest Common Factor Method
Now, list down the factors of 3453
:1,3,1151,3453
Now, list down the factors of 1456
:1,2,4,7,8,13,14,16,26,28,52,56,91,104,112,182,208,364,728,1456
Greatest Common Factor
We found the factors 3453,1456 . The biggest common factor number is the GCF number.
So the greatest common factor 3453,1456 is 1.
Lets's calculate LCM of 699,1165
| 233 | 699, 1165 |
| 3, 5 |
∴ So the LCM of the given numbers is 233 x 3 x 5 = 3495
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3495
Therefore, the GCF of Fractions 3453/699,1456/1165 is 1/3495
Least Common Multiple of 699,1165 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 699,1165 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(699,1165) = 233
common factors(in case of two or more numbers have common factors) = 1
GCF(699,1165) x common factors =233 x 1 = 233
LCM(699,1165) = ( 699 × 1165 ) / 233
LCM(699,1165) = 814335 / 233
LCM(699,1165) = 3495
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FAQs on GCF of Fractions of 3453/699, 1456/1165
1. What is the HCF of 3453,1456?
The HCF of 3453,1456 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 3453/699, 1456/1165?
Answer: GCF of Numerators as per given numbers 3453/699, 1456/1165 is
GCF of Numerators i.e. for 3453,1456 is 1
LCM of denominators i.e. for 699,1165 is 3495.
Thus, GCF of Fractions is 1/3495.Finally, GCF of Fractions for 3453/699, 1456/1165 is 1/3495.