GCF of 7399/872, 1441/1824
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7399/872, 1441/1824 i.e 1/198816 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7399/872, 1441/1824.
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 7399/872,1441/1824?
Given fractions are 7399/872,1441/1824
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 7399/872,1441/1824, numerators are 7399,1441
Denominators are 872,1824
The GCF of 7399,1441 is 1 .
LCM of 872,1824 is 198816.
The greatest common factor of 7399/872,1441/1824 = [GCF of 7399,1441]/[LCM of 872,1824]= 1/198816
Therefore, the GCF of 7399/872,1441/1824 is 1/198816.
To find the highest common factor of 7399,1441, we have to find the factors of both numbers and list the highest common factor.
The factors of 7399 are 1, 7, 49, 151, 1057, 7399
The factors of 1441 are 1, 11, 131, 1441
The HCF of 7399,1441 is 1.
Lets's calculate GCF of 7399,1441
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7399,1441 By Matching Biggest Common Factor Method
Now, list down the factors of 7399
:1,7,49,151,1057,7399
Now, list down the factors of 1441
:1,11,131,1441
Greatest Common Factor
We found the factors 7399,1441 . The biggest common factor number is the GCF number.
So the greatest common factor 7399,1441 is 1.
Lets's calculate LCM of 872,1824
| 2 | 872, 1824 |
| 2 | 436, 912 |
| 2 | 218, 456 |
| 109, 228 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 109 x 228 = 198816
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/198816
Therefore, the GCF of Fractions 7399/872,1441/1824 is 1/198816
Least Common Multiple of 872,1824 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 872,1824 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(872,1824) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(872,1824) x common factors =8 x 1 = 8
LCM(872,1824) = ( 872 × 1824 ) / 8
LCM(872,1824) = 1590528 / 8
LCM(872,1824) = 198816
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FAQs on GCF of Fractions of 7399/872, 1441/1824
1. What is the HCF of 7399,1441?
The HCF of 7399,1441 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 7399/872, 1441/1824?
Answer: GCF of Numerators as per given numbers 7399/872, 1441/1824 is
GCF of Numerators i.e. for 7399,1441 is 1
LCM of denominators i.e. for 872,1824 is 198816.
Thus, GCF of Fractions is 1/198816.Finally, GCF of Fractions for 7399/872, 1441/1824 is 1/198816.