How to Find GCF of 85/625, 87/745, 677/823?

GCF of 85/625, 87/745, 677/823

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 85/625, 87/745, 677/823 i.e 1/76641875 easily. The following is the detailed procedure to determine the greatest common factor of fractions 85/625, 87/745, 677/823.

Enter two or more fractions separated by "commas"

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

What is the GCF of 85/625,87/745,677/823?

Given fractions are 85/625,87/745,677/823

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 85/625,87/745,677/823, numerators are 85,87,677

Denominators are 625,745,823

The GCF of 85,87,677 is 1 .

LCM of 625,745,823 is 76641875.

The greatest common factor of 85/625,87/745,677/823 = [GCF of 85,87,677]/[LCM of 625,745,823]= 1/76641875

Therefore, the GCF of 85/625,87/745,677/823 is 1/76641875.

Greatest Common Factor of 85,87,677

To find the highest common factor of 85,87,677, we have to find the factors of both numbers and list the highest common factor.

The factors of 85 are 1, 5, 17, 85

The factors of 87 are 1, 3, 29, 87

The factors of 677 are 1, 677

The HCF of 85,87,677 is 1.

Lets's calculate GCF of 85,87,677

Greatest Common Factor (GCF) of 85,87,677 By Common Division

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

Greatest Common Factor of 85,87,677 By Matching Biggest Common Factor Method

Now, list down the factors of 85

1,5,17,85

Now, list down the factors of 87

1,3,29,87

Now, list down the factors of 677

1,677

Greatest Common Factor

We found the factors 85,87,677 . The biggest common factor number is the GCF number.
So the greatest common factor 85,87,677 is 1.

Lets's calculate LCM of 625,745,823

Lowest Common Multiple of 625,745,823 using Common Division

5	625, 745, 823
	125, 149, 823

∴ So the LCM of the given numbers is 5 x 125 x 149 x 823 = 76641875

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/76641875

Therefore, the GCF of Fractions 85/625,87/745,677/823 is 1/76641875

Least Common Multiple of 625,745,823 with GCF Formula

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

We need to calculate greatest common factor of 625,745,823 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(625,745,823) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(625,745,823) x common factors =1 x 5 = 5

LCM(625,745,823) = ( 625 × 745 × 823 ) / 5

LCM(625,745,823) = 383209375 / 5

LCM(625,745,823) = 76641875

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 85/625, 87/745, 677/823

1. What is the HCF of 85,87,677?

The HCF of 85,87,677 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 85/625, 87/745, 677/823?

Answer: GCF of Numerators as per given numbers 85/625, 87/745, 677/823 is

GCF of Numerators i.e. for 85,87,677 is 1

LCM of denominators i.e. for 625,745,823 is 76641875.

Thus, GCF of Fractions is 1/76641875.Finally, GCF of Fractions for 85/625, 87/745, 677/823 is 1/76641875.