GCF of 7832/242, 9240/1572
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7832/242, 9240/1572 i.e 88/190212 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7832/242, 9240/1572.
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 7832/242,9240/1572?
Given fractions are 7832/242,9240/1572
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 7832/242,9240/1572, numerators are 7832,9240
Denominators are 242,1572
The GCF of 7832,9240 is 88 .
LCM of 242,1572 is 190212.
The greatest common factor of 7832/242,9240/1572 = [GCF of 7832,9240]/[LCM of 242,1572]= 88/190212
Therefore, the GCF of 7832/242,9240/1572 is 88/190212.
To find the highest common factor of 7832,9240, we have to find the factors of both numbers and list the highest common factor.
The factors of 7832 are 1, 2, 4, 8, 11, 22, 44, 88, 89, 178, 356, 712, 979, 1958, 3916, 7832
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 7832,9240 is 88.
Lets's calculate GCF of 7832,9240
| 2 | 7832, 9240 |
| 2 | 3916, 4620 |
| 2 | 1958, 2310 |
| 11 | 979, 1155 |
| 89, 105 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 11 = 88
Greatest Common Factor of 7832,9240 By Matching Biggest Common Factor Method
Now, list down the factors of 7832
:1,2,4,8,11,22,44,88,89,178,356,712,979,1958,3916,7832
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 7832,9240 . The biggest common factor number is the GCF number.
So the greatest common factor 7832,9240 is 88.
Lets's calculate LCM of 242,1572
| 2 | 242, 1572 |
| 121, 786 |
∴ So the LCM of the given numbers is 2 x 121 x 786 = 190212
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 88/190212
Therefore, the GCF of Fractions 7832/242,9240/1572 is 88/190212
Least Common Multiple of 242,1572 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 242,1572 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(242,1572) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(242,1572) x common factors =2 x 1 = 2
LCM(242,1572) = ( 242 × 1572 ) / 2
LCM(242,1572) = 380424 / 2
LCM(242,1572) = 190212
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FAQs on GCF of Fractions of 7832/242, 9240/1572
1. What is the HCF of 7832,9240?
The HCF of 7832,9240 is 88
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 7832/242, 9240/1572?
Answer: GCF of Numerators as per given numbers 7832/242, 9240/1572 is
GCF of Numerators i.e. for 7832,9240 is 88
LCM of denominators i.e. for 242,1572 is 190212.
Thus, GCF of Fractions is 88/190212.Finally, GCF of Fractions for 7832/242, 9240/1572 is 88/190212.