GCF of 1427/401, 9480/512
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1427/401, 9480/512 i.e 1/205312 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1427/401, 9480/512.
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 1427/401,9480/512?
Given fractions are 1427/401,9480/512
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 1427/401,9480/512, numerators are 1427,9480
Denominators are 401,512
The GCF of 1427,9480 is 1 .
LCM of 401,512 is 205312.
The greatest common factor of 1427/401,9480/512 = [GCF of 1427,9480]/[LCM of 401,512]= 1/205312
Therefore, the GCF of 1427/401,9480/512 is 1/205312.
To find the highest common factor of 1427,9480, we have to find the factors of both numbers and list the highest common factor.
The factors of 1427 are 1, 1427
The factors of 9480 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 79, 120, 158, 237, 316, 395, 474, 632, 790, 948, 1185, 1580, 1896, 2370, 3160, 4740, 9480
The HCF of 1427,9480 is 1.
Lets's calculate GCF of 1427,9480
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1427,9480 By Matching Biggest Common Factor Method
Now, list down the factors of 1427
:1,1427
Now, list down the factors of 9480
:1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,79,120,158,237,316,395,474,632,790,948,1185,1580,1896,2370,3160,4740,9480
Greatest Common Factor
We found the factors 1427,9480 . The biggest common factor number is the GCF number.
So the greatest common factor 1427,9480 is 1.
Lets's calculate LCM of 401,512
Given numbers has no common factors except 1. So, there LCM is their product i.e 205312
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/205312
Therefore, the GCF of Fractions 1427/401,9480/512 is 1/205312
Least Common Multiple of 401,512 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 401,512 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(401,512) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(401,512) x common factors =1 x 1 = 1
LCM(401,512) = ( 401 × 512 ) / 1
LCM(401,512) = 205312 / 1
LCM(401,512) = 205312
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FAQs on GCF of Fractions of 1427/401, 9480/512
1. What is the HCF of 1427,9480?
The HCF of 1427,9480 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 1427/401, 9480/512?
Answer: GCF of Numerators as per given numbers 1427/401, 9480/512 is
GCF of Numerators i.e. for 1427,9480 is 1
LCM of denominators i.e. for 401,512 is 205312.
Thus, GCF of Fractions is 1/205312.Finally, GCF of Fractions for 1427/401, 9480/512 is 1/205312.