GCF of 2631/298, 6128/8905
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2631/298, 6128/8905 i.e 1/2653690 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2631/298, 6128/8905.
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 2631/298,6128/8905?
Given fractions are 2631/298,6128/8905
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 2631/298,6128/8905, numerators are 2631,6128
Denominators are 298,8905
The GCF of 2631,6128 is 1 .
LCM of 298,8905 is 2653690.
The greatest common factor of 2631/298,6128/8905 = [GCF of 2631,6128]/[LCM of 298,8905]= 1/2653690
Therefore, the GCF of 2631/298,6128/8905 is 1/2653690.
To find the highest common factor of 2631,6128, we have to find the factors of both numbers and list the highest common factor.
The factors of 2631 are 1, 3, 877, 2631
The factors of 6128 are 1, 2, 4, 8, 16, 383, 766, 1532, 3064, 6128
The HCF of 2631,6128 is 1.
Lets's calculate GCF of 2631,6128
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2631,6128 By Matching Biggest Common Factor Method
Now, list down the factors of 2631
:1,3,877,2631
Now, list down the factors of 6128
:1,2,4,8,16,383,766,1532,3064,6128
Greatest Common Factor
We found the factors 2631,6128 . The biggest common factor number is the GCF number.
So the greatest common factor 2631,6128 is 1.
Lets's calculate LCM of 298,8905
Given numbers has no common factors except 1. So, there LCM is their product i.e 2653690
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2653690
Therefore, the GCF of Fractions 2631/298,6128/8905 is 1/2653690
Least Common Multiple of 298,8905 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 298,8905 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(298,8905) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(298,8905) x common factors =1 x 1 = 1
LCM(298,8905) = ( 298 × 8905 ) / 1
LCM(298,8905) = 2653690 / 1
LCM(298,8905) = 2653690
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FAQs on GCF of Fractions of 2631/298, 6128/8905
1. What is the HCF of 2631,6128?
The HCF of 2631,6128 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 2631/298, 6128/8905?
Answer: GCF of Numerators as per given numbers 2631/298, 6128/8905 is
GCF of Numerators i.e. for 2631,6128 is 1
LCM of denominators i.e. for 298,8905 is 2653690.
Thus, GCF of Fractions is 1/2653690.Finally, GCF of Fractions for 2631/298, 6128/8905 is 1/2653690.