How to Find GCF of 5429/236, 3760/4740?

GCF of 5429/236, 3760/4740

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 5429/236, 3760/4740 i.e 1/279660 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5429/236, 3760/4740.

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 5429/236,3760/4740?

Given fractions are 5429/236,3760/4740

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 5429/236,3760/4740, numerators are 5429,3760

Denominators are 236,4740

The GCF of 5429,3760 is 1 .

LCM of 236,4740 is 279660.

The greatest common factor of 5429/236,3760/4740 = [GCF of 5429,3760]/[LCM of 236,4740]= 1/279660

Therefore, the GCF of 5429/236,3760/4740 is 1/279660.

Greatest Common Factor of 5429,3760

To find the highest common factor of 5429,3760, we have to find the factors of both numbers and list the highest common factor.

The factors of 5429 are 1, 61, 89, 5429

The factors of 3760 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 47, 80, 94, 188, 235, 376, 470, 752, 940, 1880, 3760

The HCF of 5429,3760 is 1.

Lets's calculate GCF of 5429,3760

Greatest Common Factor (GCF) of 5429,3760 By Common Division

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

Greatest Common Factor of 5429,3760 By Matching Biggest Common Factor Method

Now, list down the factors of 5429

1,61,89,5429

Now, list down the factors of 3760

1,2,4,5,8,10,16,20,40,47,80,94,188,235,376,470,752,940,1880,3760

Greatest Common Factor

We found the factors 5429,3760 . The biggest common factor number is the GCF number.
So the greatest common factor 5429,3760 is 1.

Lets's calculate LCM of 236,4740

Lowest Common Multiple of 236,4740 using Common Division

2	236, 4740
2	118, 2370
	59, 1185

∴ So the LCM of the given numbers is 2 x 2 x 59 x 1185 = 279660

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/279660

Therefore, the GCF of Fractions 5429/236,3760/4740 is 1/279660

Least Common Multiple of 236,4740 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 236,4740 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(236,4740) = 4

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

GCF(236,4740) x common factors =4 x 1 = 4

LCM(236,4740) = ( 236 × 4740 ) / 4

LCM(236,4740) = 1118640 / 4

LCM(236,4740) = 279660

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FAQs on GCF of Fractions of 5429/236, 3760/4740

1. What is the HCF of 5429,3760?

The HCF of 5429,3760 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 5429/236, 3760/4740?

Answer: GCF of Numerators as per given numbers 5429/236, 3760/4740 is

GCF of Numerators i.e. for 5429,3760 is 1

LCM of denominators i.e. for 236,4740 is 279660.

Thus, GCF of Fractions is 1/279660.Finally, GCF of Fractions for 5429/236, 3760/4740 is 1/279660.