How to Find GCF of 4943/435, 2974/3596?

GCF of 4943/435, 2974/3596

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 4943/435, 2974/3596 i.e 1/53940 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4943/435, 2974/3596.

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 4943/435,2974/3596?

Given fractions are 4943/435,2974/3596

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 4943/435,2974/3596, numerators are 4943,2974

Denominators are 435,3596

The GCF of 4943,2974 is 1 .

LCM of 435,3596 is 53940.

The greatest common factor of 4943/435,2974/3596 = [GCF of 4943,2974]/[LCM of 435,3596]= 1/53940

Therefore, the GCF of 4943/435,2974/3596 is 1/53940.

Greatest Common Factor of 4943,2974

To find the highest common factor of 4943,2974, we have to find the factors of both numbers and list the highest common factor.

The factors of 4943 are 1, 4943

The factors of 2974 are 1, 2, 1487, 2974

The HCF of 4943,2974 is 1.

Lets's calculate GCF of 4943,2974

Greatest Common Factor (GCF) of 4943,2974 By Common Division

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

Greatest Common Factor of 4943,2974 By Matching Biggest Common Factor Method

Now, list down the factors of 4943

1,4943

Now, list down the factors of 2974

1,2,1487,2974

Greatest Common Factor

We found the factors 4943,2974 . The biggest common factor number is the GCF number.
So the greatest common factor 4943,2974 is 1.

Lets's calculate LCM of 435,3596

Lowest Common Multiple of 435,3596 using Common Division

29	435, 3596
	15, 124

∴ So the LCM of the given numbers is 29 x 15 x 124 = 53940

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/53940

Therefore, the GCF of Fractions 4943/435,2974/3596 is 1/53940

Least Common Multiple of 435,3596 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 435,3596 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(435,3596) = 29

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

GCF(435,3596) x common factors =29 x 1 = 29

LCM(435,3596) = ( 435 × 3596 ) / 29

LCM(435,3596) = 1564260 / 29

LCM(435,3596) = 53940

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FAQs on GCF of Fractions of 4943/435, 2974/3596

1. What is the HCF of 4943,2974?

The HCF of 4943,2974 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 4943/435, 2974/3596?

Answer: GCF of Numerators as per given numbers 4943/435, 2974/3596 is

GCF of Numerators i.e. for 4943,2974 is 1

LCM of denominators i.e. for 435,3596 is 53940.

Thus, GCF of Fractions is 1/53940.Finally, GCF of Fractions for 4943/435, 2974/3596 is 1/53940.