GCF of 9042/952, 9240/8186
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9042/952, 9240/8186 i.e 66/3896536 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9042/952, 9240/8186.
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 9042/952,9240/8186?
Given fractions are 9042/952,9240/8186
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 9042/952,9240/8186, numerators are 9042,9240
Denominators are 952,8186
The GCF of 9042,9240 is 66 .
LCM of 952,8186 is 3896536.
The greatest common factor of 9042/952,9240/8186 = [GCF of 9042,9240]/[LCM of 952,8186]= 66/3896536
Therefore, the GCF of 9042/952,9240/8186 is 66/3896536.
To find the highest common factor of 9042,9240, we have to find the factors of both numbers and list the highest common factor.
The factors of 9042 are 1, 2, 3, 6, 11, 22, 33, 66, 137, 274, 411, 822, 1507, 3014, 4521, 9042
The factors of 9240 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 14, 15, 20, 21, 22, 24, 28, 30, 33, 35, 40, 42, 44, 55, 56, 60, 66, 70, 77, 84, 88, 105, 110, 120, 132, 140, 154, 165, 168, 210, 220, 231, 264, 280, 308, 330, 385, 420, 440, 462, 616, 660, 770, 840, 924, 1155, 1320, 1540, 1848, 2310, 3080, 4620, 9240
The HCF of 9042,9240 is 66.
Lets's calculate GCF of 9042,9240
| 2 | 9042, 9240 |
| 3 | 4521, 4620 |
| 11 | 1507, 1540 |
| 137, 140 |
∴ So the GCF of the given numbers is 2 x 3 x 11 = 66
Greatest Common Factor of 9042,9240 By Matching Biggest Common Factor Method
Now, list down the factors of 9042
:1,2,3,6,11,22,33,66,137,274,411,822,1507,3014,4521,9042
Now, list down the factors of 9240
:1,2,3,4,5,6,7,8,10,11,12,14,15,20,21,22,24,28,30,33,35,40,42,44,55,56,60,66,70,77,84,88,105,110,120,132,140,154,165,168,210,220,231,264,280,308,330,385,420,440,462,616,660,770,840,924,1155,1320,1540,1848,2310,3080,4620,9240
Greatest Common Factor
We found the factors 9042,9240 . The biggest common factor number is the GCF number.
So the greatest common factor 9042,9240 is 66.
Lets's calculate LCM of 952,8186
| 2 | 952, 8186 |
| 476, 4093 |
∴ So the LCM of the given numbers is 2 x 476 x 4093 = 3896536
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 66/3896536
Therefore, the GCF of Fractions 9042/952,9240/8186 is 66/3896536
Least Common Multiple of 952,8186 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 952,8186 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(952,8186) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(952,8186) x common factors =2 x 1 = 2
LCM(952,8186) = ( 952 × 8186 ) / 2
LCM(952,8186) = 7793072 / 2
LCM(952,8186) = 3896536
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FAQs on GCF of Fractions of 9042/952, 9240/8186
1. What is the HCF of 9042,9240?
The HCF of 9042,9240 is 66
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 9042/952, 9240/8186?
Answer: GCF of Numerators as per given numbers 9042/952, 9240/8186 is
GCF of Numerators i.e. for 9042,9240 is 66
LCM of denominators i.e. for 952,8186 is 3896536.
Thus, GCF of Fractions is 66/3896536.Finally, GCF of Fractions for 9042/952, 9240/8186 is 66/3896536.