How to Find GCF of 3725/364, 4836/820?

GCF of 3725/364, 4836/820

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 3725/364, 4836/820 i.e 1/74620 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3725/364, 4836/820.

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 3725/364,4836/820?

Given fractions are 3725/364,4836/820

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 3725/364,4836/820, numerators are 3725,4836

Denominators are 364,820

The GCF of 3725,4836 is 1 .

LCM of 364,820 is 74620.

The greatest common factor of 3725/364,4836/820 = [GCF of 3725,4836]/[LCM of 364,820]= 1/74620

Therefore, the GCF of 3725/364,4836/820 is 1/74620.

Greatest Common Factor of 3725,4836

To find the highest common factor of 3725,4836, we have to find the factors of both numbers and list the highest common factor.

The factors of 3725 are 1, 5, 25, 149, 745, 3725

The factors of 4836 are 1, 2, 3, 4, 6, 12, 13, 26, 31, 39, 52, 62, 78, 93, 124, 156, 186, 372, 403, 806, 1209, 1612, 2418, 4836

The HCF of 3725,4836 is 1.

Lets's calculate GCF of 3725,4836

Greatest Common Factor (GCF) of 3725,4836 By Common Division

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

Greatest Common Factor of 3725,4836 By Matching Biggest Common Factor Method

Now, list down the factors of 3725

1,5,25,149,745,3725

Now, list down the factors of 4836

1,2,3,4,6,12,13,26,31,39,52,62,78,93,124,156,186,372,403,806,1209,1612,2418,4836

Greatest Common Factor

We found the factors 3725,4836 . The biggest common factor number is the GCF number.
So the greatest common factor 3725,4836 is 1.

Lets's calculate LCM of 364,820

Lowest Common Multiple of 364,820 using Common Division

2	364, 820
2	182, 410
	91, 205

∴ So the LCM of the given numbers is 2 x 2 x 91 x 205 = 74620

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/74620

Therefore, the GCF of Fractions 3725/364,4836/820 is 1/74620

Least Common Multiple of 364,820 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 364,820 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(364,820) = 4

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

GCF(364,820) x common factors =4 x 1 = 4

LCM(364,820) = ( 364 × 820 ) / 4

LCM(364,820) = 298480 / 4

LCM(364,820) = 74620

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FAQs on GCF of Fractions of 3725/364, 4836/820

1. What is the HCF of 3725,4836?

The HCF of 3725,4836 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 3725/364, 4836/820?

Answer: GCF of Numerators as per given numbers 3725/364, 4836/820 is

GCF of Numerators i.e. for 3725,4836 is 1

LCM of denominators i.e. for 364,820 is 74620.

Thus, GCF of Fractions is 1/74620.Finally, GCF of Fractions for 3725/364, 4836/820 is 1/74620.