Greatest Common Factor of 495/35, 670/360

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 495/35, 670/360

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 495/35,670/360

Given fractions are 495/35,670/360

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 495,670

Greatest Common Factor of Numerators i.e. GCF of 495,670 is 5 .

LCM of Denominators means LCM of 35,360 as per the given fractions.

LCM of 35,360 is 2520 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 495,670

GCF of Fractions 495/35,670/360 is 5/2520

5 495, 670
99, 134

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 495,670 By Matching Biggest Common Factor Method

Greatest Common Factor of 495,670 By Matching Biggest Common Factor Method

Factors of 495

List of positive integer factors of 495 that divides 495 without a remainder.

1,3,5,9,11,15,33,45,55,99,165,495

Factors of 670

List of positive integer factors of 670 that divides 670 without a remainder.

1,2,5,10,67,134,335,670

Greatest Common Factor

We found the factors 495,670 . The biggest common factor number is the GCF number.
So the greatest common factor 495,670 is 5.

Lets's calculate LCM of 35,360

5 35, 360
7, 72

∴ So the LCM of the given numbers is 5 x 7 x 72 = 2520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/2520

Therefore, the GCF of Fractions 495/35,670/360 is 5/2520

Least Common Multiple of 35,360 with GCF Formula

Least Common Multiple of 35,360 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 35,360 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,360) = 5

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

GCF(35,360) x common factors =5 x 1 = 5

LCM(35,360) = ( 35 × 360 ) / 5

LCM(35,360) = 12600 / 5

LCM(35,360) = 2520


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 495/35, 670/360

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 495/35, 670/360?

Answer: GCF of Numerators as per given numbers 495/35, 670/360 is

GCF of Numerators i.e. for 495,670 is 5

LCM of denominators i.e. for 35,360 is 2520.

Thus, GCF of Fractions is 5/2520.Finally, GCF of Fractions for 495/35, 670/360 is 5/2520.