Greatest Common Factor of 361/770, 836/770

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 361/770, 836/770

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 361/770,836/770

Given fractions are 361/770,836/770

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 361,836

Greatest Common Factor of Numerators i.e. GCF of 361,836 is 19 .

LCM of Denominators means LCM of 770,770 as per the given fractions.

LCM of 770,770 is 770 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 361,836

GCF of Fractions 361/770,836/770 is 19/770

19 361, 836
19, 44

∴ So the GCF of the given numbers is 19 = 19

Greatest Common Factor of 361,836 By Matching Biggest Common Factor Method

Greatest Common Factor of 361,836 By Matching Biggest Common Factor Method

Factors of 361

List of positive integer factors of 361 that divides 361 without a remainder.

1,19,361

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

Greatest Common Factor

We found the factors 361,836 . The biggest common factor number is the GCF number.
So the greatest common factor 361,836 is 19.

Lets's calculate LCM of 770,770

2 770, 770
5 385, 385
7 77, 77
11 11, 11
1, 1

∴ So the LCM of the given numbers is 2 x 5 x 7 x 11 x 1 x 1 = 770

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/770

Therefore, the GCF of Fractions 361/770,836/770 is 19/770

Least Common Multiple of 770,770 with GCF Formula

Least Common Multiple of 770,770 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 770,770 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(770,770) = 770

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

GCF(770,770) x common factors =770 x 1 = 770

LCM(770,770) = ( 770 × 770 ) / 770

LCM(770,770) = 592900 / 770

LCM(770,770) = 770


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 361/770, 836/770

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 361/770, 836/770?

Answer: GCF of Numerators as per given numbers 361/770, 836/770 is

GCF of Numerators i.e. for 361,836 is 19

LCM of denominators i.e. for 770,770 is 770.

Thus, GCF of Fractions is 19/770.Finally, GCF of Fractions for 361/770, 836/770 is 19/770.