GCF of 427/71, 506/1105
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 427/71, 506/1105 i.e 1/78455 easily. The following is the detailed procedure to determine the greatest common factor of fractions 427/71, 506/1105.
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 427/71,506/1105?
Given fractions are 427/71,506/1105
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 427/71,506/1105, numerators are 427,506
Denominators are 71,1105
The GCF of 427,506 is 1 .
LCM of 71,1105 is 78455.
The greatest common factor of 427/71,506/1105 = [GCF of 427,506]/[LCM of 71,1105]= 1/78455
Therefore, the GCF of 427/71,506/1105 is 1/78455.
To find the highest common factor of 427,506, we have to find the factors of both numbers and list the highest common factor.
The factors of 427 are 1, 7, 61, 427
The factors of 506 are 1, 2, 11, 22, 23, 46, 253, 506
The HCF of 427,506 is 1.
Lets's calculate GCF of 427,506
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 427,506 By Matching Biggest Common Factor Method
Now, list down the factors of 427
:1,7,61,427
Now, list down the factors of 506
:1,2,11,22,23,46,253,506
Greatest Common Factor
We found the factors 427,506 . The biggest common factor number is the GCF number.
So the greatest common factor 427,506 is 1.
Lets's calculate LCM of 71,1105
Given numbers has no common factors except 1. So, there LCM is their product i.e 78455
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/78455
Therefore, the GCF of Fractions 427/71,506/1105 is 1/78455
Least Common Multiple of 71,1105 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 71,1105 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(71,1105) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(71,1105) x common factors =1 x 1 = 1
LCM(71,1105) = ( 71 × 1105 ) / 1
LCM(71,1105) = 78455 / 1
LCM(71,1105) = 78455
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FAQs on GCF of Fractions of 427/71, 506/1105
1. What is the HCF of 427,506?
The HCF of 427,506 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 427/71, 506/1105?
Answer: GCF of Numerators as per given numbers 427/71, 506/1105 is
GCF of Numerators i.e. for 427,506 is 1
LCM of denominators i.e. for 71,1105 is 78455.
Thus, GCF of Fractions is 1/78455.Finally, GCF of Fractions for 427/71, 506/1105 is 1/78455.