How to Find GCF of 5381/496, 7134/2354?

GCF of 5381/496, 7134/2354

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 5381/496, 7134/2354 i.e 1/583792 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5381/496, 7134/2354.

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 5381/496,7134/2354?

Given fractions are 5381/496,7134/2354

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 5381/496,7134/2354, numerators are 5381,7134

Denominators are 496,2354

The GCF of 5381,7134 is 1 .

LCM of 496,2354 is 583792.

The greatest common factor of 5381/496,7134/2354 = [GCF of 5381,7134]/[LCM of 496,2354]= 1/583792

Therefore, the GCF of 5381/496,7134/2354 is 1/583792.

Greatest Common Factor of 5381,7134

To find the highest common factor of 5381,7134, we have to find the factors of both numbers and list the highest common factor.

The factors of 5381 are 1, 5381

The factors of 7134 are 1, 2, 3, 6, 29, 41, 58, 82, 87, 123, 174, 246, 1189, 2378, 3567, 7134

The HCF of 5381,7134 is 1.

Lets's calculate GCF of 5381,7134

Greatest Common Factor (GCF) of 5381,7134 By Common Division

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

Greatest Common Factor of 5381,7134 By Matching Biggest Common Factor Method

Now, list down the factors of 5381

1,5381

Now, list down the factors of 7134

1,2,3,6,29,41,58,82,87,123,174,246,1189,2378,3567,7134

Greatest Common Factor

We found the factors 5381,7134 . The biggest common factor number is the GCF number.
So the greatest common factor 5381,7134 is 1.

Lets's calculate LCM of 496,2354

Lowest Common Multiple of 496,2354 using Common Division

2	496, 2354
	248, 1177

∴ So the LCM of the given numbers is 2 x 248 x 1177 = 583792

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/583792

Therefore, the GCF of Fractions 5381/496,7134/2354 is 1/583792

Least Common Multiple of 496,2354 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 496,2354 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(496,2354) = 2

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

GCF(496,2354) x common factors =2 x 1 = 2

LCM(496,2354) = ( 496 × 2354 ) / 2

LCM(496,2354) = 1167584 / 2

LCM(496,2354) = 583792

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FAQs on GCF of Fractions of 5381/496, 7134/2354

1. What is the HCF of 5381,7134?

The HCF of 5381,7134 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 5381/496, 7134/2354?

Answer: GCF of Numerators as per given numbers 5381/496, 7134/2354 is

GCF of Numerators i.e. for 5381,7134 is 1

LCM of denominators i.e. for 496,2354 is 583792.

Thus, GCF of Fractions is 1/583792.Finally, GCF of Fractions for 5381/496, 7134/2354 is 1/583792.