How to Find GCF of 89/266, 4598/6990?

GCF of 89/266, 4598/6990

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 89/266, 4598/6990 i.e 1/929670 easily. The following is the detailed procedure to determine the greatest common factor of fractions 89/266, 4598/6990.

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 89/266,4598/6990?

Given fractions are 89/266,4598/6990

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 89/266,4598/6990, numerators are 89,4598

Denominators are 266,6990

The GCF of 89,4598 is 1 .

LCM of 266,6990 is 929670.

The greatest common factor of 89/266,4598/6990 = [GCF of 89,4598]/[LCM of 266,6990]= 1/929670

Therefore, the GCF of 89/266,4598/6990 is 1/929670.

Greatest Common Factor of 89,4598

To find the highest common factor of 89,4598, we have to find the factors of both numbers and list the highest common factor.

The factors of 89 are 1, 89

The factors of 4598 are 1, 2, 11, 19, 22, 38, 121, 209, 242, 418, 2299, 4598

The HCF of 89,4598 is 1.

Lets's calculate GCF of 89,4598

Greatest Common Factor (GCF) of 89,4598 By Common Division

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

Greatest Common Factor of 89,4598 By Matching Biggest Common Factor Method

Now, list down the factors of 89

1,89

Now, list down the factors of 4598

1,2,11,19,22,38,121,209,242,418,2299,4598

Greatest Common Factor

We found the factors 89,4598 . The biggest common factor number is the GCF number.
So the greatest common factor 89,4598 is 1.

Lets's calculate LCM of 266,6990

Lowest Common Multiple of 266,6990 using Common Division

2	266, 6990
	133, 3495

∴ So the LCM of the given numbers is 2 x 133 x 3495 = 929670

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/929670

Therefore, the GCF of Fractions 89/266,4598/6990 is 1/929670

Least Common Multiple of 266,6990 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 266,6990 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(266,6990) = 2

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

GCF(266,6990) x common factors =2 x 1 = 2

LCM(266,6990) = ( 266 × 6990 ) / 2

LCM(266,6990) = 1859340 / 2

LCM(266,6990) = 929670

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FAQs on GCF of Fractions of 89/266, 4598/6990

1. What is the HCF of 89,4598?

The HCF of 89,4598 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 89/266, 4598/6990?

Answer: GCF of Numerators as per given numbers 89/266, 4598/6990 is

GCF of Numerators i.e. for 89,4598 is 1

LCM of denominators i.e. for 266,6990 is 929670.

Thus, GCF of Fractions is 1/929670.Finally, GCF of Fractions for 89/266, 4598/6990 is 1/929670.