How to Find GCF of 3674/520, 4831/1933?

GCF of 3674/520, 4831/1933

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 3674/520, 4831/1933 i.e 1/1005160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3674/520, 4831/1933.

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 3674/520,4831/1933?

Given fractions are 3674/520,4831/1933

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 3674/520,4831/1933, numerators are 3674,4831

Denominators are 520,1933

The GCF of 3674,4831 is 1 .

LCM of 520,1933 is 1005160.

The greatest common factor of 3674/520,4831/1933 = [GCF of 3674,4831]/[LCM of 520,1933]= 1/1005160

Therefore, the GCF of 3674/520,4831/1933 is 1/1005160.

Greatest Common Factor of 3674,4831

To find the highest common factor of 3674,4831, we have to find the factors of both numbers and list the highest common factor.

The factors of 3674 are 1, 2, 11, 22, 167, 334, 1837, 3674

The factors of 4831 are 1, 4831

The HCF of 3674,4831 is 1.

Lets's calculate GCF of 3674,4831

Greatest Common Factor (GCF) of 3674,4831 By Common Division

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

Greatest Common Factor of 3674,4831 By Matching Biggest Common Factor Method

Now, list down the factors of 3674

1,2,11,22,167,334,1837,3674

Now, list down the factors of 4831

1,4831

Greatest Common Factor

We found the factors 3674,4831 . The biggest common factor number is the GCF number.
So the greatest common factor 3674,4831 is 1.

Lets's calculate LCM of 520,1933

Lowest Common Multiple of 520,1933 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1005160

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1005160

Therefore, the GCF of Fractions 3674/520,4831/1933 is 1/1005160

Least Common Multiple of 520,1933 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 520,1933 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(520,1933) = 1

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

GCF(520,1933) x common factors =1 x 1 = 1

LCM(520,1933) = ( 520 × 1933 ) / 1

LCM(520,1933) = 1005160 / 1

LCM(520,1933) = 1005160

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FAQs on GCF of Fractions of 3674/520, 4831/1933

1. What is the HCF of 3674,4831?

The HCF of 3674,4831 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 3674/520, 4831/1933?

Answer: GCF of Numerators as per given numbers 3674/520, 4831/1933 is

GCF of Numerators i.e. for 3674,4831 is 1

LCM of denominators i.e. for 520,1933 is 1005160.

Thus, GCF of Fractions is 1/1005160.Finally, GCF of Fractions for 3674/520, 4831/1933 is 1/1005160.