GCF of 291/428, 126/454
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 291/428, 126/454 i.e 3/97156 easily. The following is the detailed procedure to determine the greatest common factor of fractions 291/428, 126/454.
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 291/428,126/454?
Given fractions are 291/428,126/454
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 291/428,126/454, numerators are 291,126
Denominators are 428,454
The GCF of 291,126 is 3 .
LCM of 428,454 is 97156.
The greatest common factor of 291/428,126/454 = [GCF of 291,126]/[LCM of 428,454]= 3/97156
Therefore, the GCF of 291/428,126/454 is 3/97156.
To find the highest common factor of 291,126, 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 126 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
The HCF of 291,126 is 3.
Lets's calculate GCF of 291,126
| 3 | 291, 126 |
| 97, 42 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 291,126 By Matching Biggest Common Factor Method
Now, list down the factors of 291
:1,3,97,291
Now, list down the factors of 126
:1,2,3,6,7,9,14,18,21,42,63,126
Greatest Common Factor
We found the factors 291,126 . The biggest common factor number is the GCF number.
So the greatest common factor 291,126 is 3.
Lets's calculate LCM of 428,454
| 2 | 428, 454 |
| 214, 227 |
∴ So the LCM of the given numbers is 2 x 214 x 227 = 97156
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/97156
Therefore, the GCF of Fractions 291/428,126/454 is 3/97156
Least Common Multiple of 428,454 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 428,454 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(428,454) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(428,454) x common factors =2 x 1 = 2
LCM(428,454) = ( 428 × 454 ) / 2
LCM(428,454) = 194312 / 2
LCM(428,454) = 97156
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FAQs on GCF of Fractions of 291/428, 126/454
1. What is the HCF of 291,126?
The HCF of 291,126 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 291/428, 126/454?
Answer: GCF of Numerators as per given numbers 291/428, 126/454 is
GCF of Numerators i.e. for 291,126 is 3
LCM of denominators i.e. for 428,454 is 97156.
Thus, GCF of Fractions is 3/97156.Finally, GCF of Fractions for 291/428, 126/454 is 3/97156.