GCF of 524/44, 598/92, 663/480
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 524/44, 598/92, 663/480 i.e 1/121440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 524/44, 598/92, 663/480.
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 524/44,598/92,663/480?
Given fractions are 524/44,598/92,663/480
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 524/44,598/92,663/480, numerators are 524,598,663
Denominators are 44,92,480
The GCF of 524,598,663 is 1 .
LCM of 44,92,480 is 121440.
The greatest common factor of 524/44,598/92,663/480 = [GCF of 524,598,663]/[LCM of 44,92,480]= 1/121440
Therefore, the GCF of 524/44,598/92,663/480 is 1/121440.
To find the highest common factor of 524,598,663, we have to find the factors of both numbers and list the highest common factor.
The factors of 524 are 1, 2, 4, 131, 262, 524
The factors of 598 are 1, 2, 13, 23, 26, 46, 299, 598
The factors of 663 are 1, 3, 13, 17, 39, 51, 221, 663
The HCF of 524,598,663 is 1.
Lets's calculate GCF of 524,598,663
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 524,598,663 By Matching Biggest Common Factor Method
Now, list down the factors of 524
:1,2,4,131,262,524
Now, list down the factors of 598
:1,2,13,23,26,46,299,598
Now, list down the factors of 663
:1,3,13,17,39,51,221,663
Greatest Common Factor
We found the factors 524,598,663 . The biggest common factor number is the GCF number.
So the greatest common factor 524,598,663 is 1.
Lets's calculate LCM of 44,92,480
| 2 | 44, 92, 480 |
| 2 | 22, 46, 240 |
| 11, 23, 120 |
∴ So the LCM of the given numbers is 2 x 2 x 11 x 23 x 120 = 121440
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/121440
Therefore, the GCF of Fractions 524/44,598/92,663/480 is 1/121440
Least Common Multiple of 44,92,480 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 44,92,480 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(44,92,480) = 4
common factors(in case of two or more numbers have common factors) = 4
GCF(44,92,480) x common factors =4 x 4 = 16
LCM(44,92,480) = ( 44 × 92 × 480 ) / 16
LCM(44,92,480) = 1943040 / 16
LCM(44,92,480) = 121440
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FAQs on GCF of Fractions of 524/44, 598/92, 663/480
1. What is the HCF of 524,598,663?
The HCF of 524,598,663 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 524/44, 598/92, 663/480?
Answer: GCF of Numerators as per given numbers 524/44, 598/92, 663/480 is
GCF of Numerators i.e. for 524,598,663 is 1
LCM of denominators i.e. for 44,92,480 is 121440.
Thus, GCF of Fractions is 1/121440.Finally, GCF of Fractions for 524/44, 598/92, 663/480 is 1/121440.