Greatest Common Factor of 1736/20, 7770/592

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1736/20, 7770/592

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 1736/20,7770/592

Given fractions are 1736/20,7770/592

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 1736,7770

Greatest Common Factor of Numerators i.e. GCF of 1736,7770 is 14 .

LCM of Denominators means LCM of 20,592 as per the given fractions.

LCM of 20,592 is 2960 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1736,7770

GCF of Fractions 1736/20,7770/592 is 14/2960

2 1736, 7770
7 868, 3885
124, 555

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

Greatest Common Factor of 1736,7770 By Matching Biggest Common Factor Method

Greatest Common Factor of 1736,7770 By Matching Biggest Common Factor Method

Factors of 1736

List of positive integer factors of 1736 that divides 1736 without a remainder.

1,2,4,7,8,14,28,31,56,62,124,217,248,434,868,1736

Factors of 7770

List of positive integer factors of 7770 that divides 7770 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,37,42,70,74,105,111,185,210,222,259,370,518,555,777,1110,1295,1554,2590,3885,7770

Greatest Common Factor

We found the factors 1736,7770 . The biggest common factor number is the GCF number.
So the greatest common factor 1736,7770 is 14.

Lets's calculate LCM of 20,592

2 20, 592
2 10, 296
5, 148

∴ So the LCM of the given numbers is 2 x 2 x 5 x 148 = 2960

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/2960

Therefore, the GCF of Fractions 1736/20,7770/592 is 14/2960

Least Common Multiple of 20,592 with GCF Formula

Least Common Multiple of 20,592 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 20,592 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,592) = 4

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

GCF(20,592) x common factors =4 x 1 = 4

LCM(20,592) = ( 20 × 592 ) / 4

LCM(20,592) = 11840 / 4

LCM(20,592) = 2960


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 1736/20, 7770/592

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 1736/20, 7770/592?

Answer: GCF of Numerators as per given numbers 1736/20, 7770/592 is

GCF of Numerators i.e. for 1736,7770 is 14

LCM of denominators i.e. for 20,592 is 2960.

Thus, GCF of Fractions is 14/2960.Finally, GCF of Fractions for 1736/20, 7770/592 is 14/2960.