Greatest Common Factor of 385/26, 840/7756

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 385/26, 840/7756

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 385/26,840/7756

Given fractions are 385/26,840/7756

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 385,840

Greatest Common Factor of Numerators i.e. GCF of 385,840 is 35 .

LCM of Denominators means LCM of 26,7756 as per the given fractions.

LCM of 26,7756 is 100828 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 385,840

GCF of Fractions 385/26,840/7756 is 35/100828

5 385, 840
7 77, 168
11, 24

∴ So the GCF of the given numbers is 5 x 7 = 35

Greatest Common Factor of 385,840 By Matching Biggest Common Factor Method

Greatest Common Factor of 385,840 By Matching Biggest Common Factor Method

Factors of 385

List of positive integer factors of 385 that divides 385 without a remainder.

1,5,7,11,35,55,77,385

Factors of 840

List of positive integer factors of 840 that divides 840 without a remainder.

1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,56,60,70,84,105,120,140,168,210,280,420,840

Greatest Common Factor

We found the factors 385,840 . The biggest common factor number is the GCF number.
So the greatest common factor 385,840 is 35.

Lets's calculate LCM of 26,7756

2 26, 7756
13, 3878

∴ So the LCM of the given numbers is 2 x 13 x 3878 = 100828

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 35/100828

Therefore, the GCF of Fractions 385/26,840/7756 is 35/100828

Least Common Multiple of 26,7756 with GCF Formula

Least Common Multiple of 26,7756 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 26,7756 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,7756) = 2

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

GCF(26,7756) x common factors =2 x 1 = 2

LCM(26,7756) = ( 26 × 7756 ) / 2

LCM(26,7756) = 201656 / 2

LCM(26,7756) = 100828


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 385/26, 840/7756

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 385/26, 840/7756?

Answer: GCF of Numerators as per given numbers 385/26, 840/7756 is

GCF of Numerators i.e. for 385,840 is 35

LCM of denominators i.e. for 26,7756 is 100828.

Thus, GCF of Fractions is 35/100828.Finally, GCF of Fractions for 385/26, 840/7756 is 35/100828.