How to Find GCF of 4126/178, 6821/7298?

GCF of 4126/178, 6821/7298

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 4126/178, 6821/7298 i.e 1/7298 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4126/178, 6821/7298.

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 4126/178,6821/7298?

Given fractions are 4126/178,6821/7298

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 4126/178,6821/7298, numerators are 4126,6821

Denominators are 178,7298

The GCF of 4126,6821 is 1 .

LCM of 178,7298 is 7298.

The greatest common factor of 4126/178,6821/7298 = [GCF of 4126,6821]/[LCM of 178,7298]= 1/7298

Therefore, the GCF of 4126/178,6821/7298 is 1/7298.

Greatest Common Factor of 4126,6821

To find the highest common factor of 4126,6821, we have to find the factors of both numbers and list the highest common factor.

The factors of 4126 are 1, 2, 2063, 4126

The factors of 6821 are 1, 19, 359, 6821

The HCF of 4126,6821 is 1.

Lets's calculate GCF of 4126,6821

Greatest Common Factor (GCF) of 4126,6821 By Common Division

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

Greatest Common Factor of 4126,6821 By Matching Biggest Common Factor Method

Now, list down the factors of 4126

1,2,2063,4126

Now, list down the factors of 6821

1,19,359,6821

Greatest Common Factor

We found the factors 4126,6821 . The biggest common factor number is the GCF number.
So the greatest common factor 4126,6821 is 1.

Lets's calculate LCM of 178,7298

Lowest Common Multiple of 178,7298 using Common Division

2	178, 7298
89	89, 3649
	1, 41

∴ So the LCM of the given numbers is 2 x 89 x 1 x 41 = 7298

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7298

Therefore, the GCF of Fractions 4126/178,6821/7298 is 1/7298

Least Common Multiple of 178,7298 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 178,7298 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(178,7298) = 178

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

GCF(178,7298) x common factors =178 x 1 = 178

LCM(178,7298) = ( 178 × 7298 ) / 178

LCM(178,7298) = 1299044 / 178

LCM(178,7298) = 7298

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FAQs on GCF of Fractions of 4126/178, 6821/7298

1. What is the HCF of 4126,6821?

The HCF of 4126,6821 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 4126/178, 6821/7298?

Answer: GCF of Numerators as per given numbers 4126/178, 6821/7298 is

GCF of Numerators i.e. for 4126,6821 is 1

LCM of denominators i.e. for 178,7298 is 7298.

Thus, GCF of Fractions is 1/7298.Finally, GCF of Fractions for 4126/178, 6821/7298 is 1/7298.