Greatest Common Factor of 10/85, 35/15, 805/454

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 10/85, 35/15, 805/454

Enter two or more fractions separated by "commas"

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

GCF of:

Greatest Common Factor of 10/85,35/15,805/454

Given fractions are 10/85,35/15,805/454

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 10,35,805

Greatest Common Factor of Numerators i.e. GCF of 10,35,805 is 5 .

LCM of Denominators means LCM of 85,15,454 as per the given fractions.

LCM of 85,15,454 is 115770 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 10,35,805

GCF of Fractions 10/85,35/15,805/454 is 5/115770

5 10, 35, 805
2, 7, 161

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

Greatest Common Factor of 10,35,805 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,35,805 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 805

List of positive integer factors of 805 that divides 805 without a remainder.

1,5,7,23,35,115,161,805

Greatest Common Factor

We found the factors 10,35,805 . The biggest common factor number is the GCF number.
So the greatest common factor 10,35,805 is 5.


Lets's calculate LCM of 85,15,454

5 85, 15, 454
17, 3, 454

∴ So the LCM of the given numbers is 5 x 17 x 3 x 454 = 115770

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/115770

Therefore, the GCF of Fractions 10/85,35/15,805/454 is 5/115770

Least Common Multiple of 85,15,454 with GCF Formula

Least Common Multiple of 85,15,454 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 85,15,454 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,15,454) = 1

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

GCF(85,15,454) x common factors =1 x 5 = 5

LCM(85,15,454) = ( 85 × 15 × 454 ) / 5

LCM(85,15,454) = 578850 / 5

LCM(85,15,454) = 115770


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 10/85, 35/15, 805/454

1. 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.

2. What is the GCF of Fractions for 10/85, 35/15, 805/454?

Answer: GCF of Numerators as per given numbers 10/85, 35/15, 805/454 is

GCF of Numerators i.e. for 10,35,805 is 5

LCM of denominators i.e. for 85,15,454 is 115770.

Thus, GCF of Fractions is 5/115770.Finally, GCF of Fractions for 10/85, 35/15, 805/454 is 5/115770.