GCF of 2654/210, 6941/5489
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2654/210, 6941/5489 i.e 1/1152690 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2654/210, 6941/5489.
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 2654/210,6941/5489?
Given fractions are 2654/210,6941/5489
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 2654/210,6941/5489, numerators are 2654,6941
Denominators are 210,5489
The GCF of 2654,6941 is 1 .
LCM of 210,5489 is 1152690.
The greatest common factor of 2654/210,6941/5489 = [GCF of 2654,6941]/[LCM of 210,5489]= 1/1152690
Therefore, the GCF of 2654/210,6941/5489 is 1/1152690.
To find the highest common factor of 2654,6941, we have to find the factors of both numbers and list the highest common factor.
The factors of 2654 are 1, 2, 1327, 2654
The factors of 6941 are 1, 11, 631, 6941
The HCF of 2654,6941 is 1.
Lets's calculate GCF of 2654,6941
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2654,6941 By Matching Biggest Common Factor Method
Now, list down the factors of 2654
:1,2,1327,2654
Now, list down the factors of 6941
:1,11,631,6941
Greatest Common Factor
We found the factors 2654,6941 . The biggest common factor number is the GCF number.
So the greatest common factor 2654,6941 is 1.
Lets's calculate LCM of 210,5489
Given numbers has no common factors except 1. So, there LCM is their product i.e 1152690
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1152690
Therefore, the GCF of Fractions 2654/210,6941/5489 is 1/1152690
Least Common Multiple of 210,5489 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 210,5489 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(210,5489) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(210,5489) x common factors =1 x 1 = 1
LCM(210,5489) = ( 210 × 5489 ) / 1
LCM(210,5489) = 1152690 / 1
LCM(210,5489) = 1152690
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FAQs on GCF of Fractions of 2654/210, 6941/5489
1. What is the HCF of 2654,6941?
The HCF of 2654,6941 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 2654/210, 6941/5489?
Answer: GCF of Numerators as per given numbers 2654/210, 6941/5489 is
GCF of Numerators i.e. for 2654,6941 is 1
LCM of denominators i.e. for 210,5489 is 1152690.
Thus, GCF of Fractions is 1/1152690.Finally, GCF of Fractions for 2654/210, 6941/5489 is 1/1152690.