Greatest Common Factor of 836/39, 456/985

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 836/39, 456/985

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 836/39,456/985

Given fractions are 836/39,456/985

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 836,456

Greatest Common Factor of Numerators i.e. GCF of 836,456 is 76 .

LCM of Denominators means LCM of 39,985 as per the given fractions.

LCM of 39,985 is 38415 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 836,456

GCF of Fractions 836/39,456/985 is 76/38415

2 836, 456
2 418, 228
19 209, 114
11, 6

∴ So the GCF of the given numbers is 2 x 2 x 19 = 76

Greatest Common Factor of 836,456 By Matching Biggest Common Factor Method

Greatest Common Factor of 836,456 By Matching Biggest Common Factor Method

Factors of 836

List of positive integer factors of 836 that divides 836 without a remainder.

1,2,4,11,19,22,38,44,76,209,418,836

Factors of 456

List of positive integer factors of 456 that divides 456 without a remainder.

1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456

Greatest Common Factor

We found the factors 836,456 . The biggest common factor number is the GCF number.
So the greatest common factor 836,456 is 76.

Lets's calculate LCM of 39,985

Given numbers has no common factors except 1. So, there LCM is their product i.e 38415

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 76/38415

Therefore, the GCF of Fractions 836/39,456/985 is 76/38415

Least Common Multiple of 39,985 with GCF Formula

Least Common Multiple of 39,985 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 39,985 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,985) = 1

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

GCF(39,985) x common factors =1 x 1 = 1

LCM(39,985) = ( 39 × 985 ) / 1

LCM(39,985) = 38415 / 1

LCM(39,985) = 38415


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 836/39, 456/985

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 836/39, 456/985?

Answer: GCF of Numerators as per given numbers 836/39, 456/985 is

GCF of Numerators i.e. for 836,456 is 76

LCM of denominators i.e. for 39,985 is 38415.

Thus, GCF of Fractions is 76/38415.Finally, GCF of Fractions for 836/39, 456/985 is 76/38415.