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GCF of 265/391, 765/669

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 265/391, 765/669 i.e 5/261579 easily. The following is the detailed procedure to determine the greatest common factor of fractions 265/391, 765/669.

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 265/391,765/669?

Given fractions are 265/391,765/669

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 265/391,765/669, numerators are 265,765

Denominators are 391,669

The GCF of 265,765 is 5 .

LCM of 391,669 is 261579.

The greatest common factor of 265/391,765/669 = [GCF of 265,765]/[LCM of 391,669]= 5/261579

Therefore, the GCF of 265/391,765/669 is 5/261579.

Greatest Common Factor of 265,765

To find the highest common factor of 265,765, we have to find the factors of both numbers and list the highest common factor.

The factors of 265 are 1, 5, 53, 265

The factors of 765 are 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

The HCF of 265,765 is 5.

Lets's calculate GCF of 265,765

Greatest Common Factor (GCF) of 265,765 By Common Division

5 265, 765
53, 153

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 265,765 By Matching Biggest Common Factor Method

Greatest Common Factor of 265,765 By Matching Biggest Common Factor Method

Now, list down the factors of 265

:

1,5,53,265

Now, list down the factors of 765

:

1,3,5,9,15,17,45,51,85,153,255,765

Greatest Common Factor

We found the factors 265,765 . The biggest common factor number is the GCF number.
So the greatest common factor 265,765 is 5.

Lets's calculate LCM of 391,669

Lowest Common Multiple of 391,669 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 261579

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/261579

Therefore, the GCF of Fractions 265/391,765/669 is 5/261579

Least Common Multiple of 391,669 with GCF Formula

Least Common Multiple of 391,669 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 391,669 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(391,669) = 1

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

GCF(391,669) x common factors =1 x 1 = 1

LCM(391,669) = ( 391 × 669 ) / 1

LCM(391,669) = 261579 / 1

LCM(391,669) = 261579


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FAQs on GCF of Fractions of 265/391, 765/669

1. What is the HCF of 265,765?

The HCF of 265,765 is 5

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 265/391, 765/669?

Answer: GCF of Numerators as per given numbers 265/391, 765/669 is

GCF of Numerators i.e. for 265,765 is 5

LCM of denominators i.e. for 391,669 is 261579.

Thus, GCF of Fractions is 5/261579.Finally, GCF of Fractions for 265/391, 765/669 is 5/261579.