GCF of 2151/540, 8044/9907
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2151/540, 8044/9907 i.e 1/5349780 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2151/540, 8044/9907.
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 2151/540,8044/9907?
Given fractions are 2151/540,8044/9907
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 2151/540,8044/9907, numerators are 2151,8044
Denominators are 540,9907
The GCF of 2151,8044 is 1 .
LCM of 540,9907 is 5349780.
The greatest common factor of 2151/540,8044/9907 = [GCF of 2151,8044]/[LCM of 540,9907]= 1/5349780
Therefore, the GCF of 2151/540,8044/9907 is 1/5349780.
To find the highest common factor of 2151,8044, we have to find the factors of both numbers and list the highest common factor.
The factors of 2151 are 1, 3, 9, 239, 717, 2151
The factors of 8044 are 1, 2, 4, 2011, 4022, 8044
The HCF of 2151,8044 is 1.
Lets's calculate GCF of 2151,8044
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2151,8044 By Matching Biggest Common Factor Method
Now, list down the factors of 2151
:1,3,9,239,717,2151
Now, list down the factors of 8044
:1,2,4,2011,4022,8044
Greatest Common Factor
We found the factors 2151,8044 . The biggest common factor number is the GCF number.
So the greatest common factor 2151,8044 is 1.
Lets's calculate LCM of 540,9907
Given numbers has no common factors except 1. So, there LCM is their product i.e 5349780
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5349780
Therefore, the GCF of Fractions 2151/540,8044/9907 is 1/5349780
Least Common Multiple of 540,9907 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 540,9907 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(540,9907) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(540,9907) x common factors =1 x 1 = 1
LCM(540,9907) = ( 540 × 9907 ) / 1
LCM(540,9907) = 5349780 / 1
LCM(540,9907) = 5349780
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FAQs on GCF of Fractions of 2151/540, 8044/9907
1. What is the HCF of 2151,8044?
The HCF of 2151,8044 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 2151/540, 8044/9907?
Answer: GCF of Numerators as per given numbers 2151/540, 8044/9907 is
GCF of Numerators i.e. for 2151,8044 is 1
LCM of denominators i.e. for 540,9907 is 5349780.
Thus, GCF of Fractions is 1/5349780.Finally, GCF of Fractions for 2151/540, 8044/9907 is 1/5349780.