GCF of 454/116, 8412/270
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 454/116, 8412/270 i.e 2/15660 easily. The following is the detailed procedure to determine the greatest common factor of fractions 454/116, 8412/270.
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 454/116,8412/270?
Given fractions are 454/116,8412/270
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 454/116,8412/270, numerators are 454,8412
Denominators are 116,270
The GCF of 454,8412 is 2 .
LCM of 116,270 is 15660.
The greatest common factor of 454/116,8412/270 = [GCF of 454,8412]/[LCM of 116,270]= 2/15660
Therefore, the GCF of 454/116,8412/270 is 2/15660.
To find the highest common factor of 454,8412, we have to find the factors of both numbers and list the highest common factor.
The factors of 454 are 1, 2, 227, 454
The factors of 8412 are 1, 2, 3, 4, 6, 12, 701, 1402, 2103, 2804, 4206, 8412
The HCF of 454,8412 is 2.
Lets's calculate GCF of 454,8412
| 2 | 454, 8412 |
| 227, 4206 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 454,8412 By Matching Biggest Common Factor Method
Now, list down the factors of 454
:1,2,227,454
Now, list down the factors of 8412
:1,2,3,4,6,12,701,1402,2103,2804,4206,8412
Greatest Common Factor
We found the factors 454,8412 . The biggest common factor number is the GCF number.
So the greatest common factor 454,8412 is 2.
Lets's calculate LCM of 116,270
| 2 | 116, 270 |
| 58, 135 |
∴ So the LCM of the given numbers is 2 x 58 x 135 = 15660
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/15660
Therefore, the GCF of Fractions 454/116,8412/270 is 2/15660
Least Common Multiple of 116,270 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 116,270 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(116,270) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(116,270) x common factors =2 x 1 = 2
LCM(116,270) = ( 116 × 270 ) / 2
LCM(116,270) = 31320 / 2
LCM(116,270) = 15660
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FAQs on GCF of Fractions of 454/116, 8412/270
1. What is the HCF of 454,8412?
The HCF of 454,8412 is 2
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 454/116, 8412/270?
Answer: GCF of Numerators as per given numbers 454/116, 8412/270 is
GCF of Numerators i.e. for 454,8412 is 2
LCM of denominators i.e. for 116,270 is 15660.
Thus, GCF of Fractions is 2/15660.Finally, GCF of Fractions for 454/116, 8412/270 is 2/15660.