How to Find GCF of 4335/490, 3533/5156?

GCF of 4335/490, 3533/5156

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 4335/490, 3533/5156 i.e 1/1263220 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4335/490, 3533/5156.

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 4335/490,3533/5156?

Given fractions are 4335/490,3533/5156

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 4335/490,3533/5156, numerators are 4335,3533

Denominators are 490,5156

The GCF of 4335,3533 is 1 .

LCM of 490,5156 is 1263220.

The greatest common factor of 4335/490,3533/5156 = [GCF of 4335,3533]/[LCM of 490,5156]= 1/1263220

Therefore, the GCF of 4335/490,3533/5156 is 1/1263220.

Greatest Common Factor of 4335,3533

To find the highest common factor of 4335,3533, we have to find the factors of both numbers and list the highest common factor.

The factors of 4335 are 1, 3, 5, 15, 17, 51, 85, 255, 289, 867, 1445, 4335

The factors of 3533 are 1, 3533

The HCF of 4335,3533 is 1.

Lets's calculate GCF of 4335,3533

Greatest Common Factor (GCF) of 4335,3533 By Common Division

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

Greatest Common Factor of 4335,3533 By Matching Biggest Common Factor Method

Now, list down the factors of 4335

1,3,5,15,17,51,85,255,289,867,1445,4335

Now, list down the factors of 3533

1,3533

Greatest Common Factor

We found the factors 4335,3533 . The biggest common factor number is the GCF number.
So the greatest common factor 4335,3533 is 1.

Lets's calculate LCM of 490,5156

Lowest Common Multiple of 490,5156 using Common Division

2	490, 5156
	245, 2578

∴ So the LCM of the given numbers is 2 x 245 x 2578 = 1263220

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1263220

Therefore, the GCF of Fractions 4335/490,3533/5156 is 1/1263220

Least Common Multiple of 490,5156 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 490,5156 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(490,5156) = 2

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

GCF(490,5156) x common factors =2 x 1 = 2

LCM(490,5156) = ( 490 × 5156 ) / 2

LCM(490,5156) = 2526440 / 2

LCM(490,5156) = 1263220

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FAQs on GCF of Fractions of 4335/490, 3533/5156

1. What is the HCF of 4335,3533?

The HCF of 4335,3533 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 4335/490, 3533/5156?

Answer: GCF of Numerators as per given numbers 4335/490, 3533/5156 is

GCF of Numerators i.e. for 4335,3533 is 1

LCM of denominators i.e. for 490,5156 is 1263220.

Thus, GCF of Fractions is 1/1263220.Finally, GCF of Fractions for 4335/490, 3533/5156 is 1/1263220.