How to Find GCF of 3751/222, 7218/4156?

GCF of 3751/222, 7218/4156

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 3751/222, 7218/4156 i.e 1/461316 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3751/222, 7218/4156.

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 3751/222,7218/4156?

Given fractions are 3751/222,7218/4156

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 3751/222,7218/4156, numerators are 3751,7218

Denominators are 222,4156

The GCF of 3751,7218 is 1 .

LCM of 222,4156 is 461316.

The greatest common factor of 3751/222,7218/4156 = [GCF of 3751,7218]/[LCM of 222,4156]= 1/461316

Therefore, the GCF of 3751/222,7218/4156 is 1/461316.

Greatest Common Factor of 3751,7218

To find the highest common factor of 3751,7218, we have to find the factors of both numbers and list the highest common factor.

The factors of 3751 are 1, 11, 31, 121, 341, 3751

The factors of 7218 are 1, 2, 3, 6, 9, 18, 401, 802, 1203, 2406, 3609, 7218

The HCF of 3751,7218 is 1.

Lets's calculate GCF of 3751,7218

Greatest Common Factor (GCF) of 3751,7218 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 3751,7218 By Matching Biggest Common Factor Method

Now, list down the factors of 3751

1,11,31,121,341,3751

Now, list down the factors of 7218

1,2,3,6,9,18,401,802,1203,2406,3609,7218

Greatest Common Factor

We found the factors 3751,7218 . The biggest common factor number is the GCF number.
So the greatest common factor 3751,7218 is 1.

Lets's calculate LCM of 222,4156

Lowest Common Multiple of 222,4156 using Common Division

2	222, 4156
	111, 2078

∴ So the LCM of the given numbers is 2 x 111 x 2078 = 461316

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/461316

Therefore, the GCF of Fractions 3751/222,7218/4156 is 1/461316

Least Common Multiple of 222,4156 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 222,4156 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(222,4156) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(222,4156) x common factors =2 x 1 = 2

LCM(222,4156) = ( 222 × 4156 ) / 2

LCM(222,4156) = 922632 / 2

LCM(222,4156) = 461316

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FAQs on GCF of Fractions of 3751/222, 7218/4156

1. What is the HCF of 3751,7218?

The HCF of 3751,7218 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 3751/222, 7218/4156?

Answer: GCF of Numerators as per given numbers 3751/222, 7218/4156 is

GCF of Numerators i.e. for 3751,7218 is 1

LCM of denominators i.e. for 222,4156 is 461316.

Thus, GCF of Fractions is 1/461316.Finally, GCF of Fractions for 3751/222, 7218/4156 is 1/461316.