Greatest Common Factor of 504/306, 630/785

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 504/306, 630/785

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 504/306,630/785

Given fractions are 504/306,630/785

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 504,630

Greatest Common Factor of Numerators i.e. GCF of 504,630 is 126 .

LCM of Denominators means LCM of 306,785 as per the given fractions.

LCM of 306,785 is 240210 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 504,630

GCF of Fractions 504/306,630/785 is 126/240210

2 504, 630
3 252, 315
3 84, 105
7 28, 35
4, 5

∴ So the GCF of the given numbers is 2 x 3 x 3 x 7 = 126

Greatest Common Factor of 504,630 By Matching Biggest Common Factor Method

Greatest Common Factor of 504,630 By Matching Biggest Common Factor Method

Factors of 504

List of positive integer factors of 504 that divides 504 without a remainder.

1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504

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 504,630 . The biggest common factor number is the GCF number.
So the greatest common factor 504,630 is 126.

Lets's calculate LCM of 306,785

Given numbers has no common factors except 1. So, there LCM is their product i.e 240210

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 126/240210

Therefore, the GCF of Fractions 504/306,630/785 is 126/240210

Least Common Multiple of 306,785 with GCF Formula

Least Common Multiple of 306,785 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 306,785 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(306,785) = 1

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

GCF(306,785) x common factors =1 x 1 = 1

LCM(306,785) = ( 306 × 785 ) / 1

LCM(306,785) = 240210 / 1

LCM(306,785) = 240210


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 504/306, 630/785

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 504/306, 630/785?

Answer: GCF of Numerators as per given numbers 504/306, 630/785 is

GCF of Numerators i.e. for 504,630 is 126

LCM of denominators i.e. for 306,785 is 240210.

Thus, GCF of Fractions is 126/240210.Finally, GCF of Fractions for 504/306, 630/785 is 126/240210.