GCF of 5632/756, 9733/7458
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5632/756, 9733/7458 i.e 1/939708 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5632/756, 9733/7458.
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 5632/756,9733/7458?
Given fractions are 5632/756,9733/7458
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 5632/756,9733/7458, numerators are 5632,9733
Denominators are 756,7458
The GCF of 5632,9733 is 1 .
LCM of 756,7458 is 939708.
The greatest common factor of 5632/756,9733/7458 = [GCF of 5632,9733]/[LCM of 756,7458]= 1/939708
Therefore, the GCF of 5632/756,9733/7458 is 1/939708.
To find the highest common factor of 5632,9733, we have to find the factors of both numbers and list the highest common factor.
The factors of 5632 are 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 128, 176, 256, 352, 512, 704, 1408, 2816, 5632
The factors of 9733 are 1, 9733
The HCF of 5632,9733 is 1.
Lets's calculate GCF of 5632,9733
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5632,9733 By Matching Biggest Common Factor Method
Now, list down the factors of 5632
:1,2,4,8,11,16,22,32,44,64,88,128,176,256,352,512,704,1408,2816,5632
Now, list down the factors of 9733
:1,9733
Greatest Common Factor
We found the factors 5632,9733 . The biggest common factor number is the GCF number.
So the greatest common factor 5632,9733 is 1.
Lets's calculate LCM of 756,7458
| 2 | 756, 7458 |
| 3 | 378, 3729 |
| 126, 1243 |
∴ So the LCM of the given numbers is 2 x 3 x 126 x 1243 = 939708
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/939708
Therefore, the GCF of Fractions 5632/756,9733/7458 is 1/939708
Least Common Multiple of 756,7458 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 756,7458 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(756,7458) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(756,7458) x common factors =6 x 1 = 6
LCM(756,7458) = ( 756 × 7458 ) / 6
LCM(756,7458) = 5638248 / 6
LCM(756,7458) = 939708
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FAQs on GCF of Fractions of 5632/756, 9733/7458
1. What is the HCF of 5632,9733?
The HCF of 5632,9733 is 1
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 5632/756, 9733/7458?
Answer: GCF of Numerators as per given numbers 5632/756, 9733/7458 is
GCF of Numerators i.e. for 5632,9733 is 1
LCM of denominators i.e. for 756,7458 is 939708.
Thus, GCF of Fractions is 1/939708.Finally, GCF of Fractions for 5632/756, 9733/7458 is 1/939708.