Greatest Common Factor of 7049/390, 8288/1576

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7049/390, 8288/1576

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 7049/390,8288/1576

Given fractions are 7049/390,8288/1576

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 7049,8288

Greatest Common Factor of Numerators i.e. GCF of 7049,8288 is 7 .

LCM of Denominators means LCM of 390,1576 as per the given fractions.

LCM of 390,1576 is 307320 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7049,8288

GCF of Fractions 7049/390,8288/1576 is 7/307320

7 7049, 8288
1007, 1184

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 7049,8288 By Matching Biggest Common Factor Method

Greatest Common Factor of 7049,8288 By Matching Biggest Common Factor Method

Factors of 7049

List of positive integer factors of 7049 that divides 7049 without a remainder.

1,7,19,53,133,371,1007,7049

Factors of 8288

List of positive integer factors of 8288 that divides 8288 without a remainder.

1,2,4,7,8,14,16,28,32,37,56,74,112,148,224,259,296,518,592,1036,1184,2072,4144,8288

Greatest Common Factor

We found the factors 7049,8288 . The biggest common factor number is the GCF number.
So the greatest common factor 7049,8288 is 7.

Lets's calculate LCM of 390,1576

2 390, 1576
195, 788

∴ So the LCM of the given numbers is 2 x 195 x 788 = 307320

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/307320

Therefore, the GCF of Fractions 7049/390,8288/1576 is 7/307320

Least Common Multiple of 390,1576 with GCF Formula

Least Common Multiple of 390,1576 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 390,1576 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(390,1576) = 2

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

GCF(390,1576) x common factors =2 x 1 = 2

LCM(390,1576) = ( 390 × 1576 ) / 2

LCM(390,1576) = 614640 / 2

LCM(390,1576) = 307320


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 7049/390, 8288/1576

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 7049/390, 8288/1576?

Answer: GCF of Numerators as per given numbers 7049/390, 8288/1576 is

GCF of Numerators i.e. for 7049,8288 is 7

LCM of denominators i.e. for 390,1576 is 307320.

Thus, GCF of Fractions is 7/307320.Finally, GCF of Fractions for 7049/390, 8288/1576 is 7/307320.