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GCF of 585/770, 769/385

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 585/770, 769/385 i.e 1/770 easily. The following is the detailed procedure to determine the greatest common factor of fractions 585/770, 769/385.

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 585/770,769/385?

Given fractions are 585/770,769/385

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 585/770,769/385, numerators are 585,769

Denominators are 770,385

The GCF of 585,769 is 1 .

LCM of 770,385 is 770.

The greatest common factor of 585/770,769/385 = [GCF of 585,769]/[LCM of 770,385]= 1/770

Therefore, the GCF of 585/770,769/385 is 1/770.

Greatest Common Factor of 585,769

To find the highest common factor of 585,769, we have to find the factors of both numbers and list the highest common factor.

The factors of 585 are 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

The factors of 769 are 1, 769

The HCF of 585,769 is 1.

Lets's calculate GCF of 585,769

Greatest Common Factor (GCF) of 585,769 By Common Division

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

Greatest Common Factor of 585,769 By Matching Biggest Common Factor Method

Greatest Common Factor of 585,769 By Matching Biggest Common Factor Method

Now, list down the factors of 585

:

1,3,5,9,13,15,39,45,65,117,195,585

Now, list down the factors of 769

:

1,769

Greatest Common Factor

We found the factors 585,769 . The biggest common factor number is the GCF number.
So the greatest common factor 585,769 is 1.

Lets's calculate LCM of 770,385

Lowest Common Multiple of 770,385 using Common Division

5 770, 385
7 154, 77
11 22, 11
2, 1

∴ So the LCM of the given numbers is 5 x 7 x 11 x 2 x 1 = 770

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/770

Therefore, the GCF of Fractions 585/770,769/385 is 1/770

Least Common Multiple of 770,385 with GCF Formula

Least Common Multiple of 770,385 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 770,385 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(770,385) = 385

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

GCF(770,385) x common factors =385 x 1 = 385

LCM(770,385) = ( 770 × 385 ) / 385

LCM(770,385) = 296450 / 385

LCM(770,385) = 770


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FAQs on GCF of Fractions of 585/770, 769/385

1. What is the HCF of 585,769?

The HCF of 585,769 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 585/770, 769/385?

Answer: GCF of Numerators as per given numbers 585/770, 769/385 is

GCF of Numerators i.e. for 585,769 is 1

LCM of denominators i.e. for 770,385 is 770.

Thus, GCF of Fractions is 1/770.Finally, GCF of Fractions for 585/770, 769/385 is 1/770.