GCF of 2913/263, 3453/7582
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2913/263, 3453/7582 i.e 3/1994066 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2913/263, 3453/7582.
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 2913/263,3453/7582?
Given fractions are 2913/263,3453/7582
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 2913/263,3453/7582, numerators are 2913,3453
Denominators are 263,7582
The GCF of 2913,3453 is 3 .
LCM of 263,7582 is 1994066.
The greatest common factor of 2913/263,3453/7582 = [GCF of 2913,3453]/[LCM of 263,7582]= 3/1994066
Therefore, the GCF of 2913/263,3453/7582 is 3/1994066.
To find the highest common factor of 2913,3453, we have to find the factors of both numbers and list the highest common factor.
The factors of 2913 are 1, 3, 971, 2913
The factors of 3453 are 1, 3, 1151, 3453
The HCF of 2913,3453 is 3.
Lets's calculate GCF of 2913,3453
| 3 | 2913, 3453 |
| 971, 1151 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2913,3453 By Matching Biggest Common Factor Method
Now, list down the factors of 2913
:1,3,971,2913
Now, list down the factors of 3453
:1,3,1151,3453
Greatest Common Factor
We found the factors 2913,3453 . The biggest common factor number is the GCF number.
So the greatest common factor 2913,3453 is 3.
Lets's calculate LCM of 263,7582
Given numbers has no common factors except 1. So, there LCM is their product i.e 1994066
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1994066
Therefore, the GCF of Fractions 2913/263,3453/7582 is 3/1994066
Least Common Multiple of 263,7582 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 263,7582 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(263,7582) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(263,7582) x common factors =1 x 1 = 1
LCM(263,7582) = ( 263 × 7582 ) / 1
LCM(263,7582) = 1994066 / 1
LCM(263,7582) = 1994066
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FAQs on GCF of Fractions of 2913/263, 3453/7582
1. What is the HCF of 2913,3453?
The HCF of 2913,3453 is 3
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 2913/263, 3453/7582?
Answer: GCF of Numerators as per given numbers 2913/263, 3453/7582 is
GCF of Numerators i.e. for 2913,3453 is 3
LCM of denominators i.e. for 263,7582 is 1994066.
Thus, GCF of Fractions is 3/1994066.Finally, GCF of Fractions for 2913/263, 3453/7582 is 3/1994066.