GCF of 9240/718, 7322/5456
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9240/718, 7322/5456 i.e 14/1958704 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9240/718, 7322/5456.
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 9240/718,7322/5456?
Given fractions are 9240/718,7322/5456
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 9240/718,7322/5456, numerators are 9240,7322
Denominators are 718,5456
The GCF of 9240,7322 is 14 .
LCM of 718,5456 is 1958704.
The greatest common factor of 9240/718,7322/5456 = [GCF of 9240,7322]/[LCM of 718,5456]= 14/1958704
Therefore, the GCF of 9240/718,7322/5456 is 14/1958704.
To find the highest common factor of 9240,7322, we have to find the factors of both numbers and list the highest common factor.
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 factors of 7322 are 1, 2, 7, 14, 523, 1046, 3661, 7322
The HCF of 9240,7322 is 14.
Lets's calculate GCF of 9240,7322
| 2 | 9240, 7322 |
| 7 | 4620, 3661 |
| 660, 523 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 9240,7322 By Matching Biggest Common Factor Method
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
Now, list down the factors of 7322
:1,2,7,14,523,1046,3661,7322
Greatest Common Factor
We found the factors 9240,7322 . The biggest common factor number is the GCF number.
So the greatest common factor 9240,7322 is 14.
Lets's calculate LCM of 718,5456
| 2 | 718, 5456 |
| 359, 2728 |
∴ So the LCM of the given numbers is 2 x 359 x 2728 = 1958704
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/1958704
Therefore, the GCF of Fractions 9240/718,7322/5456 is 14/1958704
Least Common Multiple of 718,5456 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 718,5456 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(718,5456) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(718,5456) x common factors =2 x 1 = 2
LCM(718,5456) = ( 718 × 5456 ) / 2
LCM(718,5456) = 3917408 / 2
LCM(718,5456) = 1958704
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FAQs on GCF of Fractions of 9240/718, 7322/5456
1. What is the HCF of 9240,7322?
The HCF of 9240,7322 is 14
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 9240/718, 7322/5456?
Answer: GCF of Numerators as per given numbers 9240/718, 7322/5456 is
GCF of Numerators i.e. for 9240,7322 is 14
LCM of denominators i.e. for 718,5456 is 1958704.
Thus, GCF of Fractions is 14/1958704.Finally, GCF of Fractions for 9240/718, 7322/5456 is 14/1958704.