How to Find GCF of 92/335, 4186/7358?

GCF of 92/335, 4186/7358

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 92/335, 4186/7358 i.e 46/2464930 easily. The following is the detailed procedure to determine the greatest common factor of fractions 92/335, 4186/7358.

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 92/335,4186/7358?

Given fractions are 92/335,4186/7358

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 92/335,4186/7358, numerators are 92,4186

Denominators are 335,7358

The GCF of 92,4186 is 46 .

LCM of 335,7358 is 2464930.

The greatest common factor of 92/335,4186/7358 = [GCF of 92,4186]/[LCM of 335,7358]= 46/2464930

Therefore, the GCF of 92/335,4186/7358 is 46/2464930.

Greatest Common Factor of 92,4186

To find the highest common factor of 92,4186, we have to find the factors of both numbers and list the highest common factor.

The factors of 92 are 1, 2, 4, 23, 46, 92

The factors of 4186 are 1, 2, 7, 13, 14, 23, 26, 46, 91, 161, 182, 299, 322, 598, 2093, 4186

The HCF of 92,4186 is 46.

Lets's calculate GCF of 92,4186

Greatest Common Factor (GCF) of 92,4186 By Common Division

2	92, 4186
23	46, 2093
	2, 91

∴ So the GCF of the given numbers is 2 x 23 = 46

Greatest Common Factor of 92,4186 By Matching Biggest Common Factor Method

Now, list down the factors of 92

1,2,4,23,46,92

Now, list down the factors of 4186

1,2,7,13,14,23,26,46,91,161,182,299,322,598,2093,4186

Greatest Common Factor

We found the factors 92,4186 . The biggest common factor number is the GCF number.
So the greatest common factor 92,4186 is 46.

Lets's calculate LCM of 335,7358

Lowest Common Multiple of 335,7358 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2464930

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 46/2464930

Therefore, the GCF of Fractions 92/335,4186/7358 is 46/2464930

Least Common Multiple of 335,7358 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 335,7358 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(335,7358) = 1

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

GCF(335,7358) x common factors =1 x 1 = 1

LCM(335,7358) = ( 335 × 7358 ) / 1

LCM(335,7358) = 2464930 / 1

LCM(335,7358) = 2464930

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FAQs on GCF of Fractions of 92/335, 4186/7358

1. What is the HCF of 92,4186?

The HCF of 92,4186 is 46

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 92/335, 4186/7358?

Answer: GCF of Numerators as per given numbers 92/335, 4186/7358 is

GCF of Numerators i.e. for 92,4186 is 46

LCM of denominators i.e. for 335,7358 is 2464930.

Thus, GCF of Fractions is 46/2464930.Finally, GCF of Fractions for 92/335, 4186/7358 is 46/2464930.