Greatest Common Factor of 770/81, 9688/553

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 770/81, 9688/553

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 770/81,9688/553

Given fractions are 770/81,9688/553

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 770,9688

Greatest Common Factor of Numerators i.e. GCF of 770,9688 is 14 .

LCM of Denominators means LCM of 81,553 as per the given fractions.

LCM of 81,553 is 44793 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 770,9688

GCF of Fractions 770/81,9688/553 is 14/44793

2 770, 9688
7 385, 4844
55, 692

∴ So the GCF of the given numbers is 2 x 7 = 14

Greatest Common Factor of 770,9688 By Matching Biggest Common Factor Method

Greatest Common Factor of 770,9688 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 9688

List of positive integer factors of 9688 that divides 9688 without a remainder.

1,2,4,7,8,14,28,56,173,346,692,1211,1384,2422,4844,9688

Greatest Common Factor

We found the factors 770,9688 . The biggest common factor number is the GCF number.
So the greatest common factor 770,9688 is 14.

Lets's calculate LCM of 81,553

Given numbers has no common factors except 1. So, there LCM is their product i.e 44793

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/44793

Therefore, the GCF of Fractions 770/81,9688/553 is 14/44793

Least Common Multiple of 81,553 with GCF Formula

Least Common Multiple of 81,553 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 81,553 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,553) = 1

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

GCF(81,553) x common factors =1 x 1 = 1

LCM(81,553) = ( 81 × 553 ) / 1

LCM(81,553) = 44793 / 1

LCM(81,553) = 44793


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 770/81, 9688/553

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 770/81, 9688/553?

Answer: GCF of Numerators as per given numbers 770/81, 9688/553 is

GCF of Numerators i.e. for 770,9688 is 14

LCM of denominators i.e. for 81,553 is 44793.

Thus, GCF of Fractions is 14/44793.Finally, GCF of Fractions for 770/81, 9688/553 is 14/44793.