GCF of 291/692, 561/908
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 291/692, 561/908 i.e 3/157084 easily. The following is the detailed procedure to determine the greatest common factor of fractions 291/692, 561/908.
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 291/692,561/908?
Given fractions are 291/692,561/908
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 291/692,561/908, numerators are 291,561
Denominators are 692,908
The GCF of 291,561 is 3 .
LCM of 692,908 is 157084.
The greatest common factor of 291/692,561/908 = [GCF of 291,561]/[LCM of 692,908]= 3/157084
Therefore, the GCF of 291/692,561/908 is 3/157084.
To find the highest common factor of 291,561, we have to find the factors of both numbers and list the highest common factor.
The factors of 291 are 1, 3, 97, 291
The factors of 561 are 1, 3, 11, 17, 33, 51, 187, 561
The HCF of 291,561 is 3.
Lets's calculate GCF of 291,561
| 3 | 291, 561 |
| 97, 187 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 291,561 By Matching Biggest Common Factor Method
Now, list down the factors of 291
:1,3,97,291
Now, list down the factors of 561
:1,3,11,17,33,51,187,561
Greatest Common Factor
We found the factors 291,561 . The biggest common factor number is the GCF number.
So the greatest common factor 291,561 is 3.
Lets's calculate LCM of 692,908
| 2 | 692, 908 |
| 2 | 346, 454 |
| 173, 227 |
∴ So the LCM of the given numbers is 2 x 2 x 173 x 227 = 157084
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/157084
Therefore, the GCF of Fractions 291/692,561/908 is 3/157084
Least Common Multiple of 692,908 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 692,908 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(692,908) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(692,908) x common factors =4 x 1 = 4
LCM(692,908) = ( 692 × 908 ) / 4
LCM(692,908) = 628336 / 4
LCM(692,908) = 157084
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FAQs on GCF of Fractions of 291/692, 561/908
1. What is the HCF of 291,561?
The HCF of 291,561 is 3
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 291/692, 561/908?
Answer: GCF of Numerators as per given numbers 291/692, 561/908 is
GCF of Numerators i.e. for 291,561 is 3
LCM of denominators i.e. for 692,908 is 157084.
Thus, GCF of Fractions is 3/157084.Finally, GCF of Fractions for 291/692, 561/908 is 3/157084.