GCF of 5632/424, 7131/8332
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5632/424, 7131/8332 i.e 1/883192 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5632/424, 7131/8332.
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 5632/424,7131/8332?
Given fractions are 5632/424,7131/8332
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 5632/424,7131/8332, numerators are 5632,7131
Denominators are 424,8332
The GCF of 5632,7131 is 1 .
LCM of 424,8332 is 883192.
The greatest common factor of 5632/424,7131/8332 = [GCF of 5632,7131]/[LCM of 424,8332]= 1/883192
Therefore, the GCF of 5632/424,7131/8332 is 1/883192.
To find the highest common factor of 5632,7131, 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 7131 are 1, 3, 2377, 7131
The HCF of 5632,7131 is 1.
Lets's calculate GCF of 5632,7131
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5632,7131 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 7131
:1,3,2377,7131
Greatest Common Factor
We found the factors 5632,7131 . The biggest common factor number is the GCF number.
So the greatest common factor 5632,7131 is 1.
Lets's calculate LCM of 424,8332
| 2 | 424, 8332 |
| 2 | 212, 4166 |
| 106, 2083 |
∴ So the LCM of the given numbers is 2 x 2 x 106 x 2083 = 883192
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/883192
Therefore, the GCF of Fractions 5632/424,7131/8332 is 1/883192
Least Common Multiple of 424,8332 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 424,8332 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(424,8332) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(424,8332) x common factors =4 x 1 = 4
LCM(424,8332) = ( 424 × 8332 ) / 4
LCM(424,8332) = 3532768 / 4
LCM(424,8332) = 883192
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FAQs on GCF of Fractions of 5632/424, 7131/8332
1. What is the HCF of 5632,7131?
The HCF of 5632,7131 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 5632/424, 7131/8332?
Answer: GCF of Numerators as per given numbers 5632/424, 7131/8332 is
GCF of Numerators i.e. for 5632,7131 is 1
LCM of denominators i.e. for 424,8332 is 883192.
Thus, GCF of Fractions is 1/883192.Finally, GCF of Fractions for 5632/424, 7131/8332 is 1/883192.