Greatest Common Factor of 546/74, 570/69, 700/490

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 546/74, 570/69, 700/490

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 546/74,570/69,700/490

Given fractions are 546/74,570/69,700/490

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 546,570,700

Greatest Common Factor of Numerators i.e. GCF of 546,570,700 is 2 .

LCM of Denominators means LCM of 74,69,490 as per the given fractions.

LCM of 74,69,490 is 1250970 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 546,570,700

GCF of Fractions 546/74,570/69,700/490 is 2/1250970

2 546, 570, 700
273, 285, 350

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 546,570,700 By Matching Biggest Common Factor Method

Greatest Common Factor of 546,570,700 By Matching Biggest Common Factor Method

Factors of 546

List of positive integer factors of 546 that divides 546 without a remainder.

1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546

Factors of 570

List of positive integer factors of 570 that divides 570 without a remainder.

1,2,3,5,6,10,15,19,30,38,57,95,114,190,285,570

Factors of 700

List of positive integer factors of 700 that divides 700 without a remainder.

1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700

Greatest Common Factor

We found the factors 546,570,700 . The biggest common factor number is the GCF number.
So the greatest common factor 546,570,700 is 2.

Lets's calculate LCM of 74,69,490

2 74, 69, 490
37, 69, 245

∴ So the LCM of the given numbers is 2 x 37 x 69 x 245 = 1250970

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1250970

Therefore, the GCF of Fractions 546/74,570/69,700/490 is 2/1250970

Least Common Multiple of 74,69,490 with GCF Formula

Least Common Multiple of 74,69,490 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 74,69,490 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,69,490) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(74,69,490) x common factors =1 x 2 = 2

LCM(74,69,490) = ( 74 × 69 × 490 ) / 2

LCM(74,69,490) = 2501940 / 2

LCM(74,69,490) = 1250970


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 546/74, 570/69, 700/490

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 546/74, 570/69, 700/490?

Answer: GCF of Numerators as per given numbers 546/74, 570/69, 700/490 is

GCF of Numerators i.e. for 546,570,700 is 2

LCM of denominators i.e. for 74,69,490 is 1250970.

Thus, GCF of Fractions is 2/1250970.Finally, GCF of Fractions for 546/74, 570/69, 700/490 is 2/1250970.