Greatest Common Factor of 6510/703, 6850/4289

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6510/703, 6850/4289

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 6510/703,6850/4289

Given fractions are 6510/703,6850/4289

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 6510,6850

Greatest Common Factor of Numerators i.e. GCF of 6510,6850 is 10 .

LCM of Denominators means LCM of 703,4289 as per the given fractions.

LCM of 703,4289 is 3015167 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6510,6850

GCF of Fractions 6510/703,6850/4289 is 10/3015167

2 6510, 6850
5 3255, 3425
651, 685

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 6510,6850 By Matching Biggest Common Factor Method

Greatest Common Factor of 6510,6850 By Matching Biggest Common Factor Method

Factors of 6510

List of positive integer factors of 6510 that divides 6510 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,31,35,42,62,70,93,105,155,186,210,217,310,434,465,651,930,1085,1302,2170,3255,6510

Factors of 6850

List of positive integer factors of 6850 that divides 6850 without a remainder.

1,2,5,10,25,50,137,274,685,1370,3425,6850

Greatest Common Factor

We found the factors 6510,6850 . The biggest common factor number is the GCF number.
So the greatest common factor 6510,6850 is 10.

Lets's calculate LCM of 703,4289

Given numbers has no common factors except 1. So, there LCM is their product i.e 3015167

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/3015167

Therefore, the GCF of Fractions 6510/703,6850/4289 is 10/3015167

Least Common Multiple of 703,4289 with GCF Formula

Least Common Multiple of 703,4289 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 703,4289 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(703,4289) = 1

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

GCF(703,4289) x common factors =1 x 1 = 1

LCM(703,4289) = ( 703 × 4289 ) / 1

LCM(703,4289) = 3015167 / 1

LCM(703,4289) = 3015167


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 6510/703, 6850/4289

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 6510/703, 6850/4289?

Answer: GCF of Numerators as per given numbers 6510/703, 6850/4289 is

GCF of Numerators i.e. for 6510,6850 is 10

LCM of denominators i.e. for 703,4289 is 3015167.

Thus, GCF of Fractions is 10/3015167.Finally, GCF of Fractions for 6510/703, 6850/4289 is 10/3015167.