GCF of 4169/402, 4991/154
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4169/402, 4991/154 i.e 1/30954 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4169/402, 4991/154.
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 4169/402,4991/154?
Given fractions are 4169/402,4991/154
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 4169/402,4991/154, numerators are 4169,4991
Denominators are 402,154
The GCF of 4169,4991 is 1 .
LCM of 402,154 is 30954.
The greatest common factor of 4169/402,4991/154 = [GCF of 4169,4991]/[LCM of 402,154]= 1/30954
Therefore, the GCF of 4169/402,4991/154 is 1/30954.
To find the highest common factor of 4169,4991, we have to find the factors of both numbers and list the highest common factor.
The factors of 4169 are 1, 11, 379, 4169
The factors of 4991 are 1, 7, 23, 31, 161, 217, 713, 4991
The HCF of 4169,4991 is 1.
Lets's calculate GCF of 4169,4991
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4169,4991 By Matching Biggest Common Factor Method
Now, list down the factors of 4169
:1,11,379,4169
Now, list down the factors of 4991
:1,7,23,31,161,217,713,4991
Greatest Common Factor
We found the factors 4169,4991 . The biggest common factor number is the GCF number.
So the greatest common factor 4169,4991 is 1.
Lets's calculate LCM of 402,154
| 2 | 402, 154 |
| 201, 77 |
∴ So the LCM of the given numbers is 2 x 201 x 77 = 30954
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30954
Therefore, the GCF of Fractions 4169/402,4991/154 is 1/30954
Least Common Multiple of 402,154 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 402,154 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(402,154) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(402,154) x common factors =2 x 1 = 2
LCM(402,154) = ( 402 × 154 ) / 2
LCM(402,154) = 61908 / 2
LCM(402,154) = 30954
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FAQs on GCF of Fractions of 4169/402, 4991/154
1. What is the HCF of 4169,4991?
The HCF of 4169,4991 is 1
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 4169/402, 4991/154?
Answer: GCF of Numerators as per given numbers 4169/402, 4991/154 is
GCF of Numerators i.e. for 4169,4991 is 1
LCM of denominators i.e. for 402,154 is 30954.
Thus, GCF of Fractions is 1/30954.Finally, GCF of Fractions for 4169/402, 4991/154 is 1/30954.