GCF of 4187/148, 2122/5448
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4187/148, 2122/5448 i.e 1/201576 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4187/148, 2122/5448.
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 4187/148,2122/5448?
Given fractions are 4187/148,2122/5448
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 4187/148,2122/5448, numerators are 4187,2122
Denominators are 148,5448
The GCF of 4187,2122 is 1 .
LCM of 148,5448 is 201576.
The greatest common factor of 4187/148,2122/5448 = [GCF of 4187,2122]/[LCM of 148,5448]= 1/201576
Therefore, the GCF of 4187/148,2122/5448 is 1/201576.
To find the highest common factor of 4187,2122, we have to find the factors of both numbers and list the highest common factor.
The factors of 4187 are 1, 53, 79, 4187
The factors of 2122 are 1, 2, 1061, 2122
The HCF of 4187,2122 is 1.
Lets's calculate GCF of 4187,2122
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4187,2122 By Matching Biggest Common Factor Method
Now, list down the factors of 4187
:1,53,79,4187
Now, list down the factors of 2122
:1,2,1061,2122
Greatest Common Factor
We found the factors 4187,2122 . The biggest common factor number is the GCF number.
So the greatest common factor 4187,2122 is 1.
Lets's calculate LCM of 148,5448
| 2 | 148, 5448 |
| 2 | 74, 2724 |
| 37, 1362 |
∴ So the LCM of the given numbers is 2 x 2 x 37 x 1362 = 201576
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/201576
Therefore, the GCF of Fractions 4187/148,2122/5448 is 1/201576
Least Common Multiple of 148,5448 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 148,5448 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(148,5448) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(148,5448) x common factors =4 x 1 = 4
LCM(148,5448) = ( 148 × 5448 ) / 4
LCM(148,5448) = 806304 / 4
LCM(148,5448) = 201576
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FAQs on GCF of Fractions of 4187/148, 2122/5448
1. What is the HCF of 4187,2122?
The HCF of 4187,2122 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 4187/148, 2122/5448?
Answer: GCF of Numerators as per given numbers 4187/148, 2122/5448 is
GCF of Numerators i.e. for 4187,2122 is 1
LCM of denominators i.e. for 148,5448 is 201576.
Thus, GCF of Fractions is 1/201576.Finally, GCF of Fractions for 4187/148, 2122/5448 is 1/201576.