GCF of 1233/642, 6174/1087
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1233/642, 6174/1087 i.e 9/697854 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1233/642, 6174/1087.
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 1233/642,6174/1087?
Given fractions are 1233/642,6174/1087
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 1233/642,6174/1087, numerators are 1233,6174
Denominators are 642,1087
The GCF of 1233,6174 is 9 .
LCM of 642,1087 is 697854.
The greatest common factor of 1233/642,6174/1087 = [GCF of 1233,6174]/[LCM of 642,1087]= 9/697854
Therefore, the GCF of 1233/642,6174/1087 is 9/697854.
To find the highest common factor of 1233,6174, we have to find the factors of both numbers and list the highest common factor.
The factors of 1233 are 1, 3, 9, 137, 411, 1233
The factors of 6174 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 343, 441, 686, 882, 1029, 2058, 3087, 6174
The HCF of 1233,6174 is 9.
Lets's calculate GCF of 1233,6174
| 3 | 1233, 6174 |
| 3 | 411, 2058 |
| 137, 686 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 1233,6174 By Matching Biggest Common Factor Method
Now, list down the factors of 1233
:1,3,9,137,411,1233
Now, list down the factors of 6174
:1,2,3,6,7,9,14,18,21,42,49,63,98,126,147,294,343,441,686,882,1029,2058,3087,6174
Greatest Common Factor
We found the factors 1233,6174 . The biggest common factor number is the GCF number.
So the greatest common factor 1233,6174 is 9.
Lets's calculate LCM of 642,1087
Given numbers has no common factors except 1. So, there LCM is their product i.e 697854
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/697854
Therefore, the GCF of Fractions 1233/642,6174/1087 is 9/697854
Least Common Multiple of 642,1087 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 642,1087 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(642,1087) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(642,1087) x common factors =1 x 1 = 1
LCM(642,1087) = ( 642 × 1087 ) / 1
LCM(642,1087) = 697854 / 1
LCM(642,1087) = 697854
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FAQs on GCF of Fractions of 1233/642, 6174/1087
1. What is the HCF of 1233,6174?
The HCF of 1233,6174 is 9
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 1233/642, 6174/1087?
Answer: GCF of Numerators as per given numbers 1233/642, 6174/1087 is
GCF of Numerators i.e. for 1233,6174 is 9
LCM of denominators i.e. for 642,1087 is 697854.
Thus, GCF of Fractions is 9/697854.Finally, GCF of Fractions for 1233/642, 6174/1087 is 9/697854.