GCF of 302/506, 151/414
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 302/506, 151/414 i.e 151/4554 easily. The following is the detailed procedure to determine the greatest common factor of fractions 302/506, 151/414.
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 302/506,151/414?
Given fractions are 302/506,151/414
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 302/506,151/414, numerators are 302,151
Denominators are 506,414
The GCF of 302,151 is 151 .
LCM of 506,414 is 4554.
The greatest common factor of 302/506,151/414 = [GCF of 302,151]/[LCM of 506,414]= 151/4554
Therefore, the GCF of 302/506,151/414 is 151/4554.
To find the highest common factor of 302,151, we have to find the factors of both numbers and list the highest common factor.
The factors of 302 are 1, 2, 151, 302
The factors of 151 are 1, 151
The HCF of 302,151 is 151.
Lets's calculate GCF of 302,151
| 151 | 302, 151 |
| 2, 1 |
∴ So the GCF of the given numbers is 151 = 151
Greatest Common Factor of 302,151 By Matching Biggest Common Factor Method
Now, list down the factors of 302
:1,2,151,302
Now, list down the factors of 151
:1,151
Greatest Common Factor
We found the factors 302,151 . The biggest common factor number is the GCF number.
So the greatest common factor 302,151 is 151.
Lets's calculate LCM of 506,414
| 2 | 506, 414 |
| 23 | 253, 207 |
| 11, 9 |
∴ So the LCM of the given numbers is 2 x 23 x 11 x 9 = 4554
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 151/4554
Therefore, the GCF of Fractions 302/506,151/414 is 151/4554
Least Common Multiple of 506,414 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 506,414 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(506,414) = 46
common factors(in case of two or more numbers have common factors) = 1
GCF(506,414) x common factors =46 x 1 = 46
LCM(506,414) = ( 506 × 414 ) / 46
LCM(506,414) = 209484 / 46
LCM(506,414) = 4554
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FAQs on GCF of Fractions of 302/506, 151/414
1. What is the HCF of 302,151?
The HCF of 302,151 is 151
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 302/506, 151/414?
Answer: GCF of Numerators as per given numbers 302/506, 151/414 is
GCF of Numerators i.e. for 302,151 is 151
LCM of denominators i.e. for 506,414 is 4554.
Thus, GCF of Fractions is 151/4554.Finally, GCF of Fractions for 302/506, 151/414 is 151/4554.