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GCF of 266/74, 899/6158

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 266/74, 899/6158 i.e 1/227846 easily. The following is the detailed procedure to determine the greatest common factor of fractions 266/74, 899/6158.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 266/74,899/6158?

Given fractions are 266/74,899/6158

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 266/74,899/6158, numerators are 266,899

Denominators are 74,6158

The GCF of 266,899 is 1 .

LCM of 74,6158 is 227846.

The greatest common factor of 266/74,899/6158 = [GCF of 266,899]/[LCM of 74,6158]= 1/227846

Therefore, the GCF of 266/74,899/6158 is 1/227846.

Greatest Common Factor of 266,899

To find the highest common factor of 266,899, we have to find the factors of both numbers and list the highest common factor.

The factors of 266 are 1, 2, 7, 14, 19, 38, 133, 266

The factors of 899 are 1, 29, 31, 899

The HCF of 266,899 is 1.

Lets's calculate GCF of 266,899

Greatest Common Factor (GCF) of 266,899 By Common Division

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

Greatest Common Factor of 266,899 By Matching Biggest Common Factor Method

Greatest Common Factor of 266,899 By Matching Biggest Common Factor Method

Now, list down the factors of 266

:

1,2,7,14,19,38,133,266

Now, list down the factors of 899

:

1,29,31,899

Greatest Common Factor

We found the factors 266,899 . The biggest common factor number is the GCF number.
So the greatest common factor 266,899 is 1.


Lets's calculate LCM of 74,6158

Lowest Common Multiple of 74,6158 using Common Division

2 74, 6158
37, 3079

∴ So the LCM of the given numbers is 2 x 37 x 3079 = 227846

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/227846

Therefore, the GCF of Fractions 266/74,899/6158 is 1/227846

Least Common Multiple of 74,6158 with GCF Formula

Least Common Multiple of 74,6158 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 74,6158 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,6158) = 2

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

GCF(74,6158) x common factors =2 x 1 = 2

LCM(74,6158) = ( 74 × 6158 ) / 2

LCM(74,6158) = 455692 / 2

LCM(74,6158) = 227846


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 266/74, 899/6158

1. What is the HCF of 266,899?

The HCF of 266,899 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 266/74, 899/6158?

Answer: GCF of Numerators as per given numbers 266/74, 899/6158 is

GCF of Numerators i.e. for 266,899 is 1

LCM of denominators i.e. for 74,6158 is 227846.

Thus, GCF of Fractions is 1/227846.Finally, GCF of Fractions for 266/74, 899/6158 is 1/227846.