GCF of 1073/768, 2124/846
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1073/768, 2124/846 i.e 1/108288 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1073/768, 2124/846.
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 1073/768,2124/846?
Given fractions are 1073/768,2124/846
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 1073/768,2124/846, numerators are 1073,2124
Denominators are 768,846
The GCF of 1073,2124 is 1 .
LCM of 768,846 is 108288.
The greatest common factor of 1073/768,2124/846 = [GCF of 1073,2124]/[LCM of 768,846]= 1/108288
Therefore, the GCF of 1073/768,2124/846 is 1/108288.
To find the highest common factor of 1073,2124, we have to find the factors of both numbers and list the highest common factor.
The factors of 1073 are 1, 29, 37, 1073
The factors of 2124 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 59, 118, 177, 236, 354, 531, 708, 1062, 2124
The HCF of 1073,2124 is 1.
Lets's calculate GCF of 1073,2124
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1073,2124 By Matching Biggest Common Factor Method
Now, list down the factors of 1073
:1,29,37,1073
Now, list down the factors of 2124
:1,2,3,4,6,9,12,18,36,59,118,177,236,354,531,708,1062,2124
Greatest Common Factor
We found the factors 1073,2124 . The biggest common factor number is the GCF number.
So the greatest common factor 1073,2124 is 1.
Lets's calculate LCM of 768,846
| 2 | 768, 846 |
| 3 | 384, 423 |
| 128, 141 |
∴ So the LCM of the given numbers is 2 x 3 x 128 x 141 = 108288
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/108288
Therefore, the GCF of Fractions 1073/768,2124/846 is 1/108288
Least Common Multiple of 768,846 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 768,846 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(768,846) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(768,846) x common factors =6 x 1 = 6
LCM(768,846) = ( 768 × 846 ) / 6
LCM(768,846) = 649728 / 6
LCM(768,846) = 108288
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FAQs on GCF of Fractions of 1073/768, 2124/846
1. What is the HCF of 1073,2124?
The HCF of 1073,2124 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 1073/768, 2124/846?
Answer: GCF of Numerators as per given numbers 1073/768, 2124/846 is
GCF of Numerators i.e. for 1073,2124 is 1
LCM of denominators i.e. for 768,846 is 108288.
Thus, GCF of Fractions is 1/108288.Finally, GCF of Fractions for 1073/768, 2124/846 is 1/108288.