Greatest Common Factor of 3520/535, 9906/685

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3520/535, 9906/685

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 3520/535,9906/685

Given fractions are 3520/535,9906/685

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 3520,9906

Greatest Common Factor of Numerators i.e. GCF of 3520,9906 is 2 .

LCM of Denominators means LCM of 535,685 as per the given fractions.

LCM of 535,685 is 73295 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3520,9906

GCF of Fractions 3520/535,9906/685 is 2/73295

2 3520, 9906
1760, 4953

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

Greatest Common Factor of 3520,9906 By Matching Biggest Common Factor Method

Greatest Common Factor of 3520,9906 By Matching Biggest Common Factor Method

Factors of 3520

List of positive integer factors of 3520 that divides 3520 without a remainder.

1,2,4,5,8,10,11,16,20,22,32,40,44,55,64,80,88,110,160,176,220,320,352,440,704,880,1760,3520

Factors of 9906

List of positive integer factors of 9906 that divides 9906 without a remainder.

1,2,3,6,13,26,39,78,127,254,381,762,1651,3302,4953,9906

Greatest Common Factor

We found the factors 3520,9906 . The biggest common factor number is the GCF number.
So the greatest common factor 3520,9906 is 2.

Lets's calculate LCM of 535,685

5 535, 685
107, 137

∴ So the LCM of the given numbers is 5 x 107 x 137 = 73295

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/73295

Therefore, the GCF of Fractions 3520/535,9906/685 is 2/73295

Least Common Multiple of 535,685 with GCF Formula

Least Common Multiple of 535,685 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 535,685 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(535,685) = 5

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

GCF(535,685) x common factors =5 x 1 = 5

LCM(535,685) = ( 535 × 685 ) / 5

LCM(535,685) = 366475 / 5

LCM(535,685) = 73295


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 3520/535, 9906/685

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 3520/535, 9906/685?

Answer: GCF of Numerators as per given numbers 3520/535, 9906/685 is

GCF of Numerators i.e. for 3520,9906 is 2

LCM of denominators i.e. for 535,685 is 73295.

Thus, GCF of Fractions is 2/73295.Finally, GCF of Fractions for 3520/535, 9906/685 is 2/73295.