How to Find GCF of 490/359, 4162/1964?

GCF of 490/359, 4162/1964

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 490/359, 4162/1964 i.e 2/705076 easily. The following is the detailed procedure to determine the greatest common factor of fractions 490/359, 4162/1964.

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 490/359,4162/1964?

Given fractions are 490/359,4162/1964

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 490/359,4162/1964, numerators are 490,4162

Denominators are 359,1964

The GCF of 490,4162 is 2 .

LCM of 359,1964 is 705076.

The greatest common factor of 490/359,4162/1964 = [GCF of 490,4162]/[LCM of 359,1964]= 2/705076

Therefore, the GCF of 490/359,4162/1964 is 2/705076.

Greatest Common Factor of 490,4162

To find the highest common factor of 490,4162, we have to find the factors of both numbers and list the highest common factor.

The factors of 490 are 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

The factors of 4162 are 1, 2, 2081, 4162

The HCF of 490,4162 is 2.

Lets's calculate GCF of 490,4162

Greatest Common Factor (GCF) of 490,4162 By Common Division

2	490, 4162
	245, 2081

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 490,4162 By Matching Biggest Common Factor Method

Now, list down the factors of 490

1,2,5,7,10,14,35,49,70,98,245,490

Now, list down the factors of 4162

1,2,2081,4162

Greatest Common Factor

We found the factors 490,4162 . The biggest common factor number is the GCF number.
So the greatest common factor 490,4162 is 2.

Lets's calculate LCM of 359,1964

Lowest Common Multiple of 359,1964 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 705076

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/705076

Therefore, the GCF of Fractions 490/359,4162/1964 is 2/705076

Least Common Multiple of 359,1964 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 359,1964 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(359,1964) = 1

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

GCF(359,1964) x common factors =1 x 1 = 1

LCM(359,1964) = ( 359 × 1964 ) / 1

LCM(359,1964) = 705076 / 1

LCM(359,1964) = 705076

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FAQs on GCF of Fractions of 490/359, 4162/1964

1. What is the HCF of 490,4162?

The HCF of 490,4162 is 2

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 490/359, 4162/1964?

Answer: GCF of Numerators as per given numbers 490/359, 4162/1964 is

GCF of Numerators i.e. for 490,4162 is 2

LCM of denominators i.e. for 359,1964 is 705076.

Thus, GCF of Fractions is 2/705076.Finally, GCF of Fractions for 490/359, 4162/1964 is 2/705076.