Greatest Common Factor of 7049/552, 8429/985

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 7049/552, 8429/985

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 7049/552,8429/985

Given fractions are 7049/552,8429/985

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 7049,8429

Greatest Common Factor of Numerators i.e. GCF of 7049,8429 is 1 .

LCM of Denominators means LCM of 552,985 as per the given fractions.

LCM of 552,985 is 543720 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7049,8429

GCF of Fractions 7049/552,8429/985 is 1/543720

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 7049,8429 By Matching Biggest Common Factor Method

Greatest Common Factor of 7049,8429 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 8429

List of positive integer factors of 8429 that divides 8429 without a remainder.

1,8429

Greatest Common Factor

We found the factors 7049,8429 . The biggest common factor number is the GCF number.
So the greatest common factor 7049,8429 is 1.


Lets's calculate LCM of 552,985

Given numbers has no common factors except 1. So, there LCM is their product i.e 543720

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/543720

Therefore, the GCF of Fractions 7049/552,8429/985 is 1/543720

Least Common Multiple of 552,985 with GCF Formula

Least Common Multiple of 552,985 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 552,985 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(552,985) = 1

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

GCF(552,985) x common factors =1 x 1 = 1

LCM(552,985) = ( 552 × 985 ) / 1

LCM(552,985) = 543720 / 1

LCM(552,985) = 543720


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 7049/552, 8429/985

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 7049/552, 8429/985?

Answer: GCF of Numerators as per given numbers 7049/552, 8429/985 is

GCF of Numerators i.e. for 7049,8429 is 1

LCM of denominators i.e. for 552,985 is 543720.

Thus, GCF of Fractions is 1/543720.Finally, GCF of Fractions for 7049/552, 8429/985 is 1/543720.