How to Find GCF of 4323/998, 6146/770?

GCF of 4323/998, 6146/770

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 4323/998, 6146/770 i.e 1/384230 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4323/998, 6146/770.

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 4323/998,6146/770?

Given fractions are 4323/998,6146/770

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 4323/998,6146/770, numerators are 4323,6146

Denominators are 998,770

The GCF of 4323,6146 is 1 .

LCM of 998,770 is 384230.

The greatest common factor of 4323/998,6146/770 = [GCF of 4323,6146]/[LCM of 998,770]= 1/384230

Therefore, the GCF of 4323/998,6146/770 is 1/384230.

Greatest Common Factor of 4323,6146

To find the highest common factor of 4323,6146, we have to find the factors of both numbers and list the highest common factor.

The factors of 4323 are 1, 3, 11, 33, 131, 393, 1441, 4323

The factors of 6146 are 1, 2, 7, 14, 439, 878, 3073, 6146

The HCF of 4323,6146 is 1.

Lets's calculate GCF of 4323,6146

Greatest Common Factor (GCF) of 4323,6146 By Common Division

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

Greatest Common Factor of 4323,6146 By Matching Biggest Common Factor Method

Now, list down the factors of 4323

1,3,11,33,131,393,1441,4323

Now, list down the factors of 6146

1,2,7,14,439,878,3073,6146

Greatest Common Factor

We found the factors 4323,6146 . The biggest common factor number is the GCF number.
So the greatest common factor 4323,6146 is 1.

Lets's calculate LCM of 998,770

Lowest Common Multiple of 998,770 using Common Division

2	998, 770
	499, 385

∴ So the LCM of the given numbers is 2 x 499 x 385 = 384230

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/384230

Therefore, the GCF of Fractions 4323/998,6146/770 is 1/384230

Least Common Multiple of 998,770 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 998,770 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(998,770) = 2

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

GCF(998,770) x common factors =2 x 1 = 2

LCM(998,770) = ( 998 × 770 ) / 2

LCM(998,770) = 768460 / 2

LCM(998,770) = 384230

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FAQs on GCF of Fractions of 4323/998, 6146/770

1. What is the HCF of 4323,6146?

The HCF of 4323,6146 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 4323/998, 6146/770?

Answer: GCF of Numerators as per given numbers 4323/998, 6146/770 is

GCF of Numerators i.e. for 4323,6146 is 1

LCM of denominators i.e. for 998,770 is 384230.

Thus, GCF of Fractions is 1/384230.Finally, GCF of Fractions for 4323/998, 6146/770 is 1/384230.