GCF of 501/151, 207/597, 321/117
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 501/151, 207/597, 321/117 i.e 3/3515733 easily. The following is the detailed procedure to determine the greatest common factor of fractions 501/151, 207/597, 321/117.
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 501/151,207/597,321/117?
Given fractions are 501/151,207/597,321/117
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 501/151,207/597,321/117, numerators are 501,207,321
Denominators are 151,597,117
The GCF of 501,207,321 is 3 .
LCM of 151,597,117 is 3515733.
The greatest common factor of 501/151,207/597,321/117 = [GCF of 501,207,321]/[LCM of 151,597,117]= 3/3515733
Therefore, the GCF of 501/151,207/597,321/117 is 3/3515733.
To find the highest common factor of 501,207,321, we have to find the factors of both numbers and list the highest common factor.
The factors of 501 are 1, 3, 167, 501
The factors of 207 are 1, 3, 9, 23, 69, 207
The factors of 321 are 1, 3, 107, 321
The HCF of 501,207,321 is 3.
Lets's calculate GCF of 501,207,321
| 3 | 501, 207, 321 |
| 167, 69, 107 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 501,207,321 By Matching Biggest Common Factor Method
Now, list down the factors of 501
:1,3,167,501
Now, list down the factors of 207
:1,3,9,23,69,207
Now, list down the factors of 321
:1,3,107,321
Greatest Common Factor
We found the factors 501,207,321 . The biggest common factor number is the GCF number.
So the greatest common factor 501,207,321 is 3.
Lets's calculate LCM of 151,597,117
| 3 | 151, 597, 117 |
| 151, 199, 39 |
∴ So the LCM of the given numbers is 3 x 151 x 199 x 39 = 3515733
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3515733
Therefore, the GCF of Fractions 501/151,207/597,321/117 is 3/3515733
Least Common Multiple of 151,597,117 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 151,597,117 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(151,597,117) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(151,597,117) x common factors =1 x 3 = 3
LCM(151,597,117) = ( 151 × 597 × 117 ) / 3
LCM(151,597,117) = 10547199 / 3
LCM(151,597,117) = 3515733
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FAQs on GCF of Fractions of 501/151, 207/597, 321/117
1. What is the HCF of 501,207,321?
The HCF of 501,207,321 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 501/151, 207/597, 321/117?
Answer: GCF of Numerators as per given numbers 501/151, 207/597, 321/117 is
GCF of Numerators i.e. for 501,207,321 is 3
LCM of denominators i.e. for 151,597,117 is 3515733.
Thus, GCF of Fractions is 3/3515733.Finally, GCF of Fractions for 501/151, 207/597, 321/117 is 3/3515733.