Greatest Common Factor of 1/85, 26/95, 92/245, 706/154

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1/85, 26/95, 92/245, 706/154

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 1/85,26/95,92/245,706/154

Given fractions are 1/85,26/95,92/245,706/154

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 1,26,92,706

Greatest Common Factor of Numerators i.e. GCF of 1,26,92,706 is 1 .

LCM of Denominators means LCM of 85,95,245,154 as per the given fractions.

LCM of 85,95,245,154 is 1740970 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1,26,92,706

GCF of Fractions 1/85,26/95,92/245,706/154 is 1/1740970

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

Greatest Common Factor of 1,26,92,706 By Matching Biggest Common Factor Method

Greatest Common Factor of 1,26,92,706 By Matching Biggest Common Factor Method

Factors of 1

List of positive integer factors of 1 that divides 1 without a remainder.

1

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 706

List of positive integer factors of 706 that divides 706 without a remainder.

1,2,353,706

Greatest Common Factor

We found the factors 1,26,92,706 . The biggest common factor number is the GCF number.
So the greatest common factor 1,26,92,706 is 1.

Lets's calculate LCM of 85,95,245,154

5 85, 95, 245, 154
7 17, 19, 49, 154
17, 19, 7, 22

∴ So the LCM of the given numbers is 5 x 7 x 17 x 19 x 7 x 22 = 1740970

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1740970

Therefore, the GCF of Fractions 1/85,26/95,92/245,706/154 is 1/1740970

Least Common Multiple of 85,95,245,154 with GCF Formula

Least Common Multiple of 85,95,245,154 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 85,95,245,154 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,95,245,154) = 1

common factors(in case of two or more numbers have common factors) = 175

GCF(85,95,245,154) x common factors =1 x 175 = 175

LCM(85,95,245,154) = ( 85 × 95 × 245 × 154 ) / 175

LCM(85,95,245,154) = 304669750 / 175

LCM(85,95,245,154) = 1740970


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 1/85, 26/95, 92/245, 706/154

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 1/85, 26/95, 92/245, 706/154?

Answer: GCF of Numerators as per given numbers 1/85, 26/95, 92/245, 706/154 is

GCF of Numerators i.e. for 1,26,92,706 is 1

LCM of denominators i.e. for 85,95,245,154 is 1740970.

Thus, GCF of Fractions is 1/1740970.Finally, GCF of Fractions for 1/85, 26/95, 92/245, 706/154 is 1/1740970.