Greatest Common Factor of 570/77, 374/74, 392/350

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 570/77, 374/74, 392/350

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 570/77,374/74,392/350

Given fractions are 570/77,374/74,392/350

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 570,374,392

Greatest Common Factor of Numerators i.e. GCF of 570,374,392 is 2 .

LCM of Denominators means LCM of 77,74,350 as per the given fractions.

LCM of 77,74,350 is 142450 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 570,374,392

GCF of Fractions 570/77,374/74,392/350 is 2/142450

2 570, 374, 392
285, 187, 196

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

Greatest Common Factor of 570,374,392 By Matching Biggest Common Factor Method

Greatest Common Factor of 570,374,392 By Matching Biggest Common Factor Method

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 374

List of positive integer factors of 374 that divides 374 without a remainder.

1,2,11,17,22,34,187,374

Factors of 392

List of positive integer factors of 392 that divides 392 without a remainder.

1,2,4,7,8,14,28,49,56,98,196,392

Greatest Common Factor

We found the factors 570,374,392 . The biggest common factor number is the GCF number.
So the greatest common factor 570,374,392 is 2.

Lets's calculate LCM of 77,74,350

2 77, 74, 350
7 77, 37, 175
11, 37, 25

∴ So the LCM of the given numbers is 2 x 7 x 11 x 37 x 25 = 142450

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/142450

Therefore, the GCF of Fractions 570/77,374/74,392/350 is 2/142450

Least Common Multiple of 77,74,350 with GCF Formula

Least Common Multiple of 77,74,350 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 77,74,350 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,74,350) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(77,74,350) x common factors =1 x 14 = 14

LCM(77,74,350) = ( 77 × 74 × 350 ) / 14

LCM(77,74,350) = 1994300 / 14

LCM(77,74,350) = 142450


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 570/77, 374/74, 392/350

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 570/77, 374/74, 392/350?

Answer: GCF of Numerators as per given numbers 570/77, 374/74, 392/350 is

GCF of Numerators i.e. for 570,374,392 is 2

LCM of denominators i.e. for 77,74,350 is 142450.

Thus, GCF of Fractions is 2/142450.Finally, GCF of Fractions for 570/77, 374/74, 392/350 is 2/142450.