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GCF of 905/82, 969/865

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 905/82, 969/865 i.e 1/70930 easily. The following is the detailed procedure to determine the greatest common factor of fractions 905/82, 969/865.

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 905/82,969/865?

Given fractions are 905/82,969/865

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 905/82,969/865, numerators are 905,969

Denominators are 82,865

The GCF of 905,969 is 1 .

LCM of 82,865 is 70930.

The greatest common factor of 905/82,969/865 = [GCF of 905,969]/[LCM of 82,865]= 1/70930

Therefore, the GCF of 905/82,969/865 is 1/70930.

Greatest Common Factor of 905,969

To find the highest common factor of 905,969, we have to find the factors of both numbers and list the highest common factor.

The factors of 905 are 1, 5, 181, 905

The factors of 969 are 1, 3, 17, 19, 51, 57, 323, 969

The HCF of 905,969 is 1.

Lets's calculate GCF of 905,969

Greatest Common Factor (GCF) of 905,969 By Common Division

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

Greatest Common Factor of 905,969 By Matching Biggest Common Factor Method

Greatest Common Factor of 905,969 By Matching Biggest Common Factor Method

Now, list down the factors of 905

:

1,5,181,905

Now, list down the factors of 969

:

1,3,17,19,51,57,323,969

Greatest Common Factor

We found the factors 905,969 . The biggest common factor number is the GCF number.
So the greatest common factor 905,969 is 1.

Lets's calculate LCM of 82,865

Lowest Common Multiple of 82,865 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 70930

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/70930

Therefore, the GCF of Fractions 905/82,969/865 is 1/70930

Least Common Multiple of 82,865 with GCF Formula

Least Common Multiple of 82,865 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 82,865 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,865) = 1

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

GCF(82,865) x common factors =1 x 1 = 1

LCM(82,865) = ( 82 × 865 ) / 1

LCM(82,865) = 70930 / 1

LCM(82,865) = 70930


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FAQs on GCF of Fractions of 905/82, 969/865

1. What is the HCF of 905,969?

The HCF of 905,969 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 905/82, 969/865?

Answer: GCF of Numerators as per given numbers 905/82, 969/865 is

GCF of Numerators i.e. for 905,969 is 1

LCM of denominators i.e. for 82,865 is 70930.

Thus, GCF of Fractions is 1/70930.Finally, GCF of Fractions for 905/82, 969/865 is 1/70930.