GCF of 1128/817, 1414/2472
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1128/817, 1414/2472 i.e 2/2019624 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1128/817, 1414/2472.
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 1128/817,1414/2472?
Given fractions are 1128/817,1414/2472
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 1128/817,1414/2472, numerators are 1128,1414
Denominators are 817,2472
The GCF of 1128,1414 is 2 .
LCM of 817,2472 is 2019624.
The greatest common factor of 1128/817,1414/2472 = [GCF of 1128,1414]/[LCM of 817,2472]= 2/2019624
Therefore, the GCF of 1128/817,1414/2472 is 2/2019624.
To find the highest common factor of 1128,1414, we have to find the factors of both numbers and list the highest common factor.
The factors of 1128 are 1, 2, 3, 4, 6, 8, 12, 24, 47, 94, 141, 188, 282, 376, 564, 1128
The factors of 1414 are 1, 2, 7, 14, 101, 202, 707, 1414
The HCF of 1128,1414 is 2.
Lets's calculate GCF of 1128,1414
| 2 | 1128, 1414 |
| 564, 707 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1128,1414 By Matching Biggest Common Factor Method
Now, list down the factors of 1128
:1,2,3,4,6,8,12,24,47,94,141,188,282,376,564,1128
Now, list down the factors of 1414
:1,2,7,14,101,202,707,1414
Greatest Common Factor
We found the factors 1128,1414 . The biggest common factor number is the GCF number.
So the greatest common factor 1128,1414 is 2.
Lets's calculate LCM of 817,2472
Given numbers has no common factors except 1. So, there LCM is their product i.e 2019624
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2019624
Therefore, the GCF of Fractions 1128/817,1414/2472 is 2/2019624
Least Common Multiple of 817,2472 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 817,2472 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(817,2472) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(817,2472) x common factors =1 x 1 = 1
LCM(817,2472) = ( 817 × 2472 ) / 1
LCM(817,2472) = 2019624 / 1
LCM(817,2472) = 2019624
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FAQs on GCF of Fractions of 1128/817, 1414/2472
1. What is the HCF of 1128,1414?
The HCF of 1128,1414 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 1128/817, 1414/2472?
Answer: GCF of Numerators as per given numbers 1128/817, 1414/2472 is
GCF of Numerators i.e. for 1128,1414 is 2
LCM of denominators i.e. for 817,2472 is 2019624.
Thus, GCF of Fractions is 2/2019624.Finally, GCF of Fractions for 1128/817, 1414/2472 is 2/2019624.