How to Find GCF of 4198/497, 2454/7068?

GCF of 4198/497, 2454/7068

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 4198/497, 2454/7068 i.e 2/3512796 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4198/497, 2454/7068.

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 4198/497,2454/7068?

Given fractions are 4198/497,2454/7068

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 4198/497,2454/7068, numerators are 4198,2454

Denominators are 497,7068

The GCF of 4198,2454 is 2 .

LCM of 497,7068 is 3512796.

The greatest common factor of 4198/497,2454/7068 = [GCF of 4198,2454]/[LCM of 497,7068]= 2/3512796

Therefore, the GCF of 4198/497,2454/7068 is 2/3512796.

Greatest Common Factor of 4198,2454

To find the highest common factor of 4198,2454, we have to find the factors of both numbers and list the highest common factor.

The factors of 4198 are 1, 2, 2099, 4198

The factors of 2454 are 1, 2, 3, 6, 409, 818, 1227, 2454

The HCF of 4198,2454 is 2.

Lets's calculate GCF of 4198,2454

Greatest Common Factor (GCF) of 4198,2454 By Common Division

2	4198, 2454
	2099, 1227

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 4198,2454 By Matching Biggest Common Factor Method

Now, list down the factors of 4198

1,2,2099,4198

Now, list down the factors of 2454

1,2,3,6,409,818,1227,2454

Greatest Common Factor

We found the factors 4198,2454 . The biggest common factor number is the GCF number.
So the greatest common factor 4198,2454 is 2.

Lets's calculate LCM of 497,7068

Lowest Common Multiple of 497,7068 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3512796

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3512796

Therefore, the GCF of Fractions 4198/497,2454/7068 is 2/3512796

Least Common Multiple of 497,7068 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 497,7068 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(497,7068) = 1

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

GCF(497,7068) x common factors =1 x 1 = 1

LCM(497,7068) = ( 497 × 7068 ) / 1

LCM(497,7068) = 3512796 / 1

LCM(497,7068) = 3512796

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FAQs on GCF of Fractions of 4198/497, 2454/7068

1. What is the HCF of 4198,2454?

The HCF of 4198,2454 is 2

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 4198/497, 2454/7068?

Answer: GCF of Numerators as per given numbers 4198/497, 2454/7068 is

GCF of Numerators i.e. for 4198,2454 is 2

LCM of denominators i.e. for 497,7068 is 3512796.

Thus, GCF of Fractions is 2/3512796.Finally, GCF of Fractions for 4198/497, 2454/7068 is 2/3512796.