Greatest Common Factor of 770/44, 295/689

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 770/44, 295/689

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 770/44,295/689

Given fractions are 770/44,295/689

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 770,295

Greatest Common Factor of Numerators i.e. GCF of 770,295 is 5 .

LCM of Denominators means LCM of 44,689 as per the given fractions.

LCM of 44,689 is 30316 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 770,295

GCF of Fractions 770/44,295/689 is 5/30316

5 770, 295
154, 59

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

Greatest Common Factor of 770,295 By Matching Biggest Common Factor Method

Greatest Common Factor of 770,295 By Matching Biggest Common Factor Method

Factors of 770

List of positive integer factors of 770 that divides 770 without a remainder.

1,2,5,7,10,11,14,22,35,55,70,77,110,154,385,770

Factors of 295

List of positive integer factors of 295 that divides 295 without a remainder.

1,5,59,295

Greatest Common Factor

We found the factors 770,295 . The biggest common factor number is the GCF number.
So the greatest common factor 770,295 is 5.

Lets's calculate LCM of 44,689

Given numbers has no common factors except 1. So, there LCM is their product i.e 30316

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/30316

Therefore, the GCF of Fractions 770/44,295/689 is 5/30316

Least Common Multiple of 44,689 with GCF Formula

Least Common Multiple of 44,689 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 44,689 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,689) = 1

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

GCF(44,689) x common factors =1 x 1 = 1

LCM(44,689) = ( 44 × 689 ) / 1

LCM(44,689) = 30316 / 1

LCM(44,689) = 30316


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 770/44, 295/689

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 770/44, 295/689?

Answer: GCF of Numerators as per given numbers 770/44, 295/689 is

GCF of Numerators i.e. for 770,295 is 5

LCM of denominators i.e. for 44,689 is 30316.

Thus, GCF of Fractions is 5/30316.Finally, GCF of Fractions for 770/44, 295/689 is 5/30316.