How to Find GCF of 1334/234, 4541/8438?

GCF of 1334/234, 4541/8438

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 1334/234, 4541/8438 i.e 1/987246 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1334/234, 4541/8438.

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 1334/234,4541/8438?

Given fractions are 1334/234,4541/8438

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 1334/234,4541/8438, numerators are 1334,4541

Denominators are 234,8438

The GCF of 1334,4541 is 1 .

LCM of 234,8438 is 987246.

The greatest common factor of 1334/234,4541/8438 = [GCF of 1334,4541]/[LCM of 234,8438]= 1/987246

Therefore, the GCF of 1334/234,4541/8438 is 1/987246.

Greatest Common Factor of 1334,4541

To find the highest common factor of 1334,4541, we have to find the factors of both numbers and list the highest common factor.

The factors of 1334 are 1, 2, 23, 29, 46, 58, 667, 1334

The factors of 4541 are 1, 19, 239, 4541

The HCF of 1334,4541 is 1.

Lets's calculate GCF of 1334,4541

Greatest Common Factor (GCF) of 1334,4541 By Common Division

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

Greatest Common Factor of 1334,4541 By Matching Biggest Common Factor Method

Now, list down the factors of 1334

1,2,23,29,46,58,667,1334

Now, list down the factors of 4541

1,19,239,4541

Greatest Common Factor

We found the factors 1334,4541 . The biggest common factor number is the GCF number.
So the greatest common factor 1334,4541 is 1.

Lets's calculate LCM of 234,8438

Lowest Common Multiple of 234,8438 using Common Division

2	234, 8438
	117, 4219

∴ So the LCM of the given numbers is 2 x 117 x 4219 = 987246

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/987246

Therefore, the GCF of Fractions 1334/234,4541/8438 is 1/987246

Least Common Multiple of 234,8438 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 234,8438 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(234,8438) = 2

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

GCF(234,8438) x common factors =2 x 1 = 2

LCM(234,8438) = ( 234 × 8438 ) / 2

LCM(234,8438) = 1974492 / 2

LCM(234,8438) = 987246

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FAQs on GCF of Fractions of 1334/234, 4541/8438

1. What is the HCF of 1334,4541?

The HCF of 1334,4541 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 1334/234, 4541/8438?

Answer: GCF of Numerators as per given numbers 1334/234, 4541/8438 is

GCF of Numerators i.e. for 1334,4541 is 1

LCM of denominators i.e. for 234,8438 is 987246.

Thus, GCF of Fractions is 1/987246.Finally, GCF of Fractions for 1334/234, 4541/8438 is 1/987246.