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GCF of 909/90, 761/845

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 909/90, 761/845 i.e 1/15210 easily. The following is the detailed procedure to determine the greatest common factor of fractions 909/90, 761/845.

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 909/90,761/845?

Given fractions are 909/90,761/845

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 909/90,761/845, numerators are 909,761

Denominators are 90,845

The GCF of 909,761 is 1 .

LCM of 90,845 is 15210.

The greatest common factor of 909/90,761/845 = [GCF of 909,761]/[LCM of 90,845]= 1/15210

Therefore, the GCF of 909/90,761/845 is 1/15210.

Greatest Common Factor of 909,761

To find the highest common factor of 909,761, we have to find the factors of both numbers and list the highest common factor.

The factors of 909 are 1, 3, 9, 101, 303, 909

The factors of 761 are 1, 761

The HCF of 909,761 is 1.

Lets's calculate GCF of 909,761

Greatest Common Factor (GCF) of 909,761 By Common Division

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

Greatest Common Factor of 909,761 By Matching Biggest Common Factor Method

Greatest Common Factor of 909,761 By Matching Biggest Common Factor Method

Now, list down the factors of 909

:

1,3,9,101,303,909

Now, list down the factors of 761

:

1,761

Greatest Common Factor

We found the factors 909,761 . The biggest common factor number is the GCF number.
So the greatest common factor 909,761 is 1.

Lets's calculate LCM of 90,845

Lowest Common Multiple of 90,845 using Common Division

5 90, 845
18, 169

∴ So the LCM of the given numbers is 5 x 18 x 169 = 15210

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15210

Therefore, the GCF of Fractions 909/90,761/845 is 1/15210

Least Common Multiple of 90,845 with GCF Formula

Least Common Multiple of 90,845 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 90,845 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,845) = 5

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

GCF(90,845) x common factors =5 x 1 = 5

LCM(90,845) = ( 90 × 845 ) / 5

LCM(90,845) = 76050 / 5

LCM(90,845) = 15210


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FAQs on GCF of Fractions of 909/90, 761/845

1. What is the HCF of 909,761?

The HCF of 909,761 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 909/90, 761/845?

Answer: GCF of Numerators as per given numbers 909/90, 761/845 is

GCF of Numerators i.e. for 909,761 is 1

LCM of denominators i.e. for 90,845 is 15210.

Thus, GCF of Fractions is 1/15210.Finally, GCF of Fractions for 909/90, 761/845 is 1/15210.