GCF of 1428/542, 9749/2137
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1428/542, 9749/2137 i.e 1/1158254 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1428/542, 9749/2137.
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 1428/542,9749/2137?
Given fractions are 1428/542,9749/2137
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 1428/542,9749/2137, numerators are 1428,9749
Denominators are 542,2137
The GCF of 1428,9749 is 1 .
LCM of 542,2137 is 1158254.
The greatest common factor of 1428/542,9749/2137 = [GCF of 1428,9749]/[LCM of 542,2137]= 1/1158254
Therefore, the GCF of 1428/542,9749/2137 is 1/1158254.
To find the highest common factor of 1428,9749, we have to find the factors of both numbers and list the highest common factor.
The factors of 1428 are 1, 2, 3, 4, 6, 7, 12, 14, 17, 21, 28, 34, 42, 51, 68, 84, 102, 119, 204, 238, 357, 476, 714, 1428
The factors of 9749 are 1, 9749
The HCF of 1428,9749 is 1.
Lets's calculate GCF of 1428,9749
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1428,9749 By Matching Biggest Common Factor Method
Now, list down the factors of 1428
:1,2,3,4,6,7,12,14,17,21,28,34,42,51,68,84,102,119,204,238,357,476,714,1428
Now, list down the factors of 9749
:1,9749
Greatest Common Factor
We found the factors 1428,9749 . The biggest common factor number is the GCF number.
So the greatest common factor 1428,9749 is 1.
Lets's calculate LCM of 542,2137
Given numbers has no common factors except 1. So, there LCM is their product i.e 1158254
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1158254
Therefore, the GCF of Fractions 1428/542,9749/2137 is 1/1158254
Least Common Multiple of 542,2137 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 542,2137 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(542,2137) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(542,2137) x common factors =1 x 1 = 1
LCM(542,2137) = ( 542 × 2137 ) / 1
LCM(542,2137) = 1158254 / 1
LCM(542,2137) = 1158254
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FAQs on GCF of Fractions of 1428/542, 9749/2137
1. What is the HCF of 1428,9749?
The HCF of 1428,9749 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 1428/542, 9749/2137?
Answer: GCF of Numerators as per given numbers 1428/542, 9749/2137 is
GCF of Numerators i.e. for 1428,9749 is 1
LCM of denominators i.e. for 542,2137 is 1158254.
Thus, GCF of Fractions is 1/1158254.Finally, GCF of Fractions for 1428/542, 9749/2137 is 1/1158254.