GCF of 561/532, 312/914, 491/908
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 561/532, 312/914, 491/908 i.e 1/55189148 easily. The following is the detailed procedure to determine the greatest common factor of fractions 561/532, 312/914, 491/908.
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 561/532,312/914,491/908?
Given fractions are 561/532,312/914,491/908
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 561/532,312/914,491/908, numerators are 561,312,491
Denominators are 532,914,908
The GCF of 561,312,491 is 1 .
LCM of 532,914,908 is 55189148.
The greatest common factor of 561/532,312/914,491/908 = [GCF of 561,312,491]/[LCM of 532,914,908]= 1/55189148
Therefore, the GCF of 561/532,312/914,491/908 is 1/55189148.
To find the highest common factor of 561,312,491, we have to find the factors of both numbers and list the highest common factor.
The factors of 561 are 1, 3, 11, 17, 33, 51, 187, 561
The factors of 312 are 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
The factors of 491 are 1, 491
The HCF of 561,312,491 is 1.
Lets's calculate GCF of 561,312,491
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 561,312,491 By Matching Biggest Common Factor Method
Now, list down the factors of 561
:1,3,11,17,33,51,187,561
Now, list down the factors of 312
:1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312
Now, list down the factors of 491
:1,491
Greatest Common Factor
We found the factors 561,312,491 . The biggest common factor number is the GCF number.
So the greatest common factor 561,312,491 is 1.
Lets's calculate LCM of 532,914,908
| 2 | 532, 914, 908 |
| 2 | 266, 457, 454 |
| 133, 457, 227 |
∴ So the LCM of the given numbers is 2 x 2 x 133 x 457 x 227 = 55189148
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/55189148
Therefore, the GCF of Fractions 561/532,312/914,491/908 is 1/55189148
Least Common Multiple of 532,914,908 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 532,914,908 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(532,914,908) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(532,914,908) x common factors =2 x 4 = 8
LCM(532,914,908) = ( 532 × 914 × 908 ) / 8
LCM(532,914,908) = 441513184 / 8
LCM(532,914,908) = 55189148
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FAQs on GCF of Fractions of 561/532, 312/914, 491/908
1. What is the HCF of 561,312,491?
The HCF of 561,312,491 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 561/532, 312/914, 491/908?
Answer: GCF of Numerators as per given numbers 561/532, 312/914, 491/908 is
GCF of Numerators i.e. for 561,312,491 is 1
LCM of denominators i.e. for 532,914,908 is 55189148.
Thus, GCF of Fractions is 1/55189148.Finally, GCF of Fractions for 561/532, 312/914, 491/908 is 1/55189148.