GCF of 1282/837, 7452/1523
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1282/837, 7452/1523 i.e 2/1274751 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1282/837, 7452/1523.
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 1282/837,7452/1523?
Given fractions are 1282/837,7452/1523
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 1282/837,7452/1523, numerators are 1282,7452
Denominators are 837,1523
The GCF of 1282,7452 is 2 .
LCM of 837,1523 is 1274751.
The greatest common factor of 1282/837,7452/1523 = [GCF of 1282,7452]/[LCM of 837,1523]= 2/1274751
Therefore, the GCF of 1282/837,7452/1523 is 2/1274751.
To find the highest common factor of 1282,7452, we have to find the factors of both numbers and list the highest common factor.
The factors of 1282 are 1, 2, 641, 1282
The factors of 7452 are 1, 2, 3, 4, 6, 9, 12, 18, 23, 27, 36, 46, 54, 69, 81, 92, 108, 138, 162, 207, 276, 324, 414, 621, 828, 1242, 1863, 2484, 3726, 7452
The HCF of 1282,7452 is 2.
Lets's calculate GCF of 1282,7452
| 2 | 1282, 7452 |
| 641, 3726 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1282,7452 By Matching Biggest Common Factor Method
Now, list down the factors of 1282
:1,2,641,1282
Now, list down the factors of 7452
:1,2,3,4,6,9,12,18,23,27,36,46,54,69,81,92,108,138,162,207,276,324,414,621,828,1242,1863,2484,3726,7452
Greatest Common Factor
We found the factors 1282,7452 . The biggest common factor number is the GCF number.
So the greatest common factor 1282,7452 is 2.
Lets's calculate LCM of 837,1523
Given numbers has no common factors except 1. So, there LCM is their product i.e 1274751
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1274751
Therefore, the GCF of Fractions 1282/837,7452/1523 is 2/1274751
Least Common Multiple of 837,1523 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 837,1523 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(837,1523) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(837,1523) x common factors =1 x 1 = 1
LCM(837,1523) = ( 837 × 1523 ) / 1
LCM(837,1523) = 1274751 / 1
LCM(837,1523) = 1274751
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1282/837, 7452/1523
1. What is the HCF of 1282,7452?
The HCF of 1282,7452 is 2
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 1282/837, 7452/1523?
Answer: GCF of Numerators as per given numbers 1282/837, 7452/1523 is
GCF of Numerators i.e. for 1282,7452 is 2
LCM of denominators i.e. for 837,1523 is 1274751.
Thus, GCF of Fractions is 2/1274751.Finally, GCF of Fractions for 1282/837, 7452/1523 is 2/1274751.