GCF of 1442/928, 7112/523
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1442/928, 7112/523 i.e 14/485344 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1442/928, 7112/523.
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 1442/928,7112/523?
Given fractions are 1442/928,7112/523
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 1442/928,7112/523, numerators are 1442,7112
Denominators are 928,523
The GCF of 1442,7112 is 14 .
LCM of 928,523 is 485344.
The greatest common factor of 1442/928,7112/523 = [GCF of 1442,7112]/[LCM of 928,523]= 14/485344
Therefore, the GCF of 1442/928,7112/523 is 14/485344.
To find the highest common factor of 1442,7112, we have to find the factors of both numbers and list the highest common factor.
The factors of 1442 are 1, 2, 7, 14, 103, 206, 721, 1442
The factors of 7112 are 1, 2, 4, 7, 8, 14, 28, 56, 127, 254, 508, 889, 1016, 1778, 3556, 7112
The HCF of 1442,7112 is 14.
Lets's calculate GCF of 1442,7112
| 2 | 1442, 7112 |
| 7 | 721, 3556 |
| 103, 508 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 1442,7112 By Matching Biggest Common Factor Method
Now, list down the factors of 1442
:1,2,7,14,103,206,721,1442
Now, list down the factors of 7112
:1,2,4,7,8,14,28,56,127,254,508,889,1016,1778,3556,7112
Greatest Common Factor
We found the factors 1442,7112 . The biggest common factor number is the GCF number.
So the greatest common factor 1442,7112 is 14.
Lets's calculate LCM of 928,523
Given numbers has no common factors except 1. So, there LCM is their product i.e 485344
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/485344
Therefore, the GCF of Fractions 1442/928,7112/523 is 14/485344
Least Common Multiple of 928,523 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 928,523 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(928,523) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(928,523) x common factors =1 x 1 = 1
LCM(928,523) = ( 928 × 523 ) / 1
LCM(928,523) = 485344 / 1
LCM(928,523) = 485344
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FAQs on GCF of Fractions of 1442/928, 7112/523
1. What is the HCF of 1442,7112?
The HCF of 1442,7112 is 14
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 1442/928, 7112/523?
Answer: GCF of Numerators as per given numbers 1442/928, 7112/523 is
GCF of Numerators i.e. for 1442,7112 is 14
LCM of denominators i.e. for 928,523 is 485344.
Thus, GCF of Fractions is 14/485344.Finally, GCF of Fractions for 1442/928, 7112/523 is 14/485344.