Greatest Common Factor of 490/1600, 630/2560

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 490/1600, 630/2560

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 490/1600,630/2560

Given fractions are 490/1600,630/2560

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 490,630

Greatest Common Factor of Numerators i.e. GCF of 490,630 is 70 .

LCM of Denominators means LCM of 1600,2560 as per the given fractions.

LCM of 1600,2560 is 12800 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 490,630

GCF of Fractions 490/1600,630/2560 is 70/12800

2 490, 630
5 245, 315
7 49, 63
7, 9

∴ So the GCF of the given numbers is 2 x 5 x 7 = 70

Greatest Common Factor of 490,630 By Matching Biggest Common Factor Method

Greatest Common Factor of 490,630 By Matching Biggest Common Factor Method

Factors of 490

List of positive integer factors of 490 that divides 490 without a remainder.

1,2,5,7,10,14,35,49,70,98,245,490

Factors of 630

List of positive integer factors of 630 that divides 630 without a remainder.

1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,63,70,90,105,126,210,315,630

Greatest Common Factor

We found the factors 490,630 . The biggest common factor number is the GCF number.
So the greatest common factor 490,630 is 70.

Lets's calculate LCM of 1600,2560

2 1600, 2560
2 800, 1280
2 400, 640
2 200, 320
2 100, 160
2 50, 80
5 25, 40
5, 8

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5 x 8 = 12800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 70/12800

Therefore, the GCF of Fractions 490/1600,630/2560 is 70/12800

Least Common Multiple of 1600,2560 with GCF Formula

Least Common Multiple of 1600,2560 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 1600,2560 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1600,2560) = 320

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

GCF(1600,2560) x common factors =320 x 1 = 320

LCM(1600,2560) = ( 1600 × 2560 ) / 320

LCM(1600,2560) = 4096000 / 320

LCM(1600,2560) = 12800


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 490/1600, 630/2560

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 490/1600, 630/2560?

Answer: GCF of Numerators as per given numbers 490/1600, 630/2560 is

GCF of Numerators i.e. for 490,630 is 70

LCM of denominators i.e. for 1600,2560 is 12800.

Thus, GCF of Fractions is 70/12800.Finally, GCF of Fractions for 490/1600, 630/2560 is 70/12800.