GCF of 2913/561, 4051/5584
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2913/561, 4051/5584 i.e 1/3132624 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2913/561, 4051/5584.
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 2913/561,4051/5584?
Given fractions are 2913/561,4051/5584
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 2913/561,4051/5584, numerators are 2913,4051
Denominators are 561,5584
The GCF of 2913,4051 is 1 .
LCM of 561,5584 is 3132624.
The greatest common factor of 2913/561,4051/5584 = [GCF of 2913,4051]/[LCM of 561,5584]= 1/3132624
Therefore, the GCF of 2913/561,4051/5584 is 1/3132624.
To find the highest common factor of 2913,4051, 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 4051 are 1, 4051
The HCF of 2913,4051 is 1.
Lets's calculate GCF of 2913,4051
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2913,4051 By Matching Biggest Common Factor Method
Now, list down the factors of 2913
:1,3,971,2913
Now, list down the factors of 4051
:1,4051
Greatest Common Factor
We found the factors 2913,4051 . The biggest common factor number is the GCF number.
So the greatest common factor 2913,4051 is 1.
Lets's calculate LCM of 561,5584
Given numbers has no common factors except 1. So, there LCM is their product i.e 3132624
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3132624
Therefore, the GCF of Fractions 2913/561,4051/5584 is 1/3132624
Least Common Multiple of 561,5584 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 561,5584 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(561,5584) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(561,5584) x common factors =1 x 1 = 1
LCM(561,5584) = ( 561 × 5584 ) / 1
LCM(561,5584) = 3132624 / 1
LCM(561,5584) = 3132624
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FAQs on GCF of Fractions of 2913/561, 4051/5584
1. What is the HCF of 2913,4051?
The HCF of 2913,4051 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 2913/561, 4051/5584?
Answer: GCF of Numerators as per given numbers 2913/561, 4051/5584 is
GCF of Numerators i.e. for 2913,4051 is 1
LCM of denominators i.e. for 561,5584 is 3132624.
Thus, GCF of Fractions is 1/3132624.Finally, GCF of Fractions for 2913/561, 4051/5584 is 1/3132624.