GCF of 6792/824, 1896/978
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6792/824, 1896/978 i.e 24/402936 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6792/824, 1896/978.
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 6792/824,1896/978?
Given fractions are 6792/824,1896/978
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 6792/824,1896/978, numerators are 6792,1896
Denominators are 824,978
The GCF of 6792,1896 is 24 .
LCM of 824,978 is 402936.
The greatest common factor of 6792/824,1896/978 = [GCF of 6792,1896]/[LCM of 824,978]= 24/402936
Therefore, the GCF of 6792/824,1896/978 is 24/402936.
To find the highest common factor of 6792,1896, we have to find the factors of both numbers and list the highest common factor.
The factors of 6792 are 1, 2, 3, 4, 6, 8, 12, 24, 283, 566, 849, 1132, 1698, 2264, 3396, 6792
The factors of 1896 are 1, 2, 3, 4, 6, 8, 12, 24, 79, 158, 237, 316, 474, 632, 948, 1896
The HCF of 6792,1896 is 24.
Lets's calculate GCF of 6792,1896
| 2 | 6792, 1896 |
| 2 | 3396, 948 |
| 2 | 1698, 474 |
| 3 | 849, 237 |
| 283, 79 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24
Greatest Common Factor of 6792,1896 By Matching Biggest Common Factor Method
Now, list down the factors of 6792
:1,2,3,4,6,8,12,24,283,566,849,1132,1698,2264,3396,6792
Now, list down the factors of 1896
:1,2,3,4,6,8,12,24,79,158,237,316,474,632,948,1896
Greatest Common Factor
We found the factors 6792,1896 . The biggest common factor number is the GCF number.
So the greatest common factor 6792,1896 is 24.
Lets's calculate LCM of 824,978
| 2 | 824, 978 |
| 412, 489 |
∴ So the LCM of the given numbers is 2 x 412 x 489 = 402936
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 24/402936
Therefore, the GCF of Fractions 6792/824,1896/978 is 24/402936
Least Common Multiple of 824,978 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 824,978 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(824,978) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(824,978) x common factors =2 x 1 = 2
LCM(824,978) = ( 824 × 978 ) / 2
LCM(824,978) = 805872 / 2
LCM(824,978) = 402936
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 6792/824, 1896/978
1. What is the HCF of 6792,1896?
The HCF of 6792,1896 is 24
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 6792/824, 1896/978?
Answer: GCF of Numerators as per given numbers 6792/824, 1896/978 is
GCF of Numerators i.e. for 6792,1896 is 24
LCM of denominators i.e. for 824,978 is 402936.
Thus, GCF of Fractions is 24/402936.Finally, GCF of Fractions for 6792/824, 1896/978 is 24/402936.