GCF of 5288/732, 1429/5422
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5288/732, 1429/5422 i.e 1/1984452 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5288/732, 1429/5422.
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 5288/732,1429/5422?
Given fractions are 5288/732,1429/5422
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 5288/732,1429/5422, numerators are 5288,1429
Denominators are 732,5422
The GCF of 5288,1429 is 1 .
LCM of 732,5422 is 1984452.
The greatest common factor of 5288/732,1429/5422 = [GCF of 5288,1429]/[LCM of 732,5422]= 1/1984452
Therefore, the GCF of 5288/732,1429/5422 is 1/1984452.
To find the highest common factor of 5288,1429, we have to find the factors of both numbers and list the highest common factor.
The factors of 5288 are 1, 2, 4, 8, 661, 1322, 2644, 5288
The factors of 1429 are 1, 1429
The HCF of 5288,1429 is 1.
Lets's calculate GCF of 5288,1429
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5288,1429 By Matching Biggest Common Factor Method
Now, list down the factors of 5288
:1,2,4,8,661,1322,2644,5288
Now, list down the factors of 1429
:1,1429
Greatest Common Factor
We found the factors 5288,1429 . The biggest common factor number is the GCF number.
So the greatest common factor 5288,1429 is 1.
Lets's calculate LCM of 732,5422
| 2 | 732, 5422 |
| 366, 2711 |
∴ So the LCM of the given numbers is 2 x 366 x 2711 = 1984452
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1984452
Therefore, the GCF of Fractions 5288/732,1429/5422 is 1/1984452
Least Common Multiple of 732,5422 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 732,5422 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(732,5422) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(732,5422) x common factors =2 x 1 = 2
LCM(732,5422) = ( 732 × 5422 ) / 2
LCM(732,5422) = 3968904 / 2
LCM(732,5422) = 1984452
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FAQs on GCF of Fractions of 5288/732, 1429/5422
1. What is the HCF of 5288,1429?
The HCF of 5288,1429 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 5288/732, 1429/5422?
Answer: GCF of Numerators as per given numbers 5288/732, 1429/5422 is
GCF of Numerators i.e. for 5288,1429 is 1
LCM of denominators i.e. for 732,5422 is 1984452.
Thus, GCF of Fractions is 1/1984452.Finally, GCF of Fractions for 5288/732, 1429/5422 is 1/1984452.