GCF of 2918/427, 2261/4688
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2918/427, 2261/4688 i.e 1/2001776 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2918/427, 2261/4688.
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 2918/427,2261/4688?
Given fractions are 2918/427,2261/4688
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 2918/427,2261/4688, numerators are 2918,2261
Denominators are 427,4688
The GCF of 2918,2261 is 1 .
LCM of 427,4688 is 2001776.
The greatest common factor of 2918/427,2261/4688 = [GCF of 2918,2261]/[LCM of 427,4688]= 1/2001776
Therefore, the GCF of 2918/427,2261/4688 is 1/2001776.
To find the highest common factor of 2918,2261, we have to find the factors of both numbers and list the highest common factor.
The factors of 2918 are 1, 2, 1459, 2918
The factors of 2261 are 1, 7, 17, 19, 119, 133, 323, 2261
The HCF of 2918,2261 is 1.
Lets's calculate GCF of 2918,2261
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2918,2261 By Matching Biggest Common Factor Method
Now, list down the factors of 2918
:1,2,1459,2918
Now, list down the factors of 2261
:1,7,17,19,119,133,323,2261
Greatest Common Factor
We found the factors 2918,2261 . The biggest common factor number is the GCF number.
So the greatest common factor 2918,2261 is 1.
Lets's calculate LCM of 427,4688
Given numbers has no common factors except 1. So, there LCM is their product i.e 2001776
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2001776
Therefore, the GCF of Fractions 2918/427,2261/4688 is 1/2001776
Least Common Multiple of 427,4688 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 427,4688 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(427,4688) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(427,4688) x common factors =1 x 1 = 1
LCM(427,4688) = ( 427 × 4688 ) / 1
LCM(427,4688) = 2001776 / 1
LCM(427,4688) = 2001776
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FAQs on GCF of Fractions of 2918/427, 2261/4688
1. What is the HCF of 2918,2261?
The HCF of 2918,2261 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 2918/427, 2261/4688?
Answer: GCF of Numerators as per given numbers 2918/427, 2261/4688 is
GCF of Numerators i.e. for 2918,2261 is 1
LCM of denominators i.e. for 427,4688 is 2001776.
Thus, GCF of Fractions is 1/2001776.Finally, GCF of Fractions for 2918/427, 2261/4688 is 1/2001776.