Greatest Common Factor of 3410/35, 5022/509

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3410/35, 5022/509

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 3410/35,5022/509

Given fractions are 3410/35,5022/509

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 3410,5022

Greatest Common Factor of Numerators i.e. GCF of 3410,5022 is 62 .

LCM of Denominators means LCM of 35,509 as per the given fractions.

LCM of 35,509 is 17815 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3410,5022

GCF of Fractions 3410/35,5022/509 is 62/17815

2 3410, 5022
31 1705, 2511
55, 81

∴ So the GCF of the given numbers is 2 x 31 = 62

Greatest Common Factor of 3410,5022 By Matching Biggest Common Factor Method

Greatest Common Factor of 3410,5022 By Matching Biggest Common Factor Method

Factors of 3410

List of positive integer factors of 3410 that divides 3410 without a remainder.

1,2,5,10,11,22,31,55,62,110,155,310,341,682,1705,3410

Factors of 5022

List of positive integer factors of 5022 that divides 5022 without a remainder.

1,2,3,6,9,18,27,31,54,62,81,93,162,186,279,558,837,1674,2511,5022

Greatest Common Factor

We found the factors 3410,5022 . The biggest common factor number is the GCF number.
So the greatest common factor 3410,5022 is 62.

Lets's calculate LCM of 35,509

Given numbers has no common factors except 1. So, there LCM is their product i.e 17815

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 62/17815

Therefore, the GCF of Fractions 3410/35,5022/509 is 62/17815

Least Common Multiple of 35,509 with GCF Formula

Least Common Multiple of 35,509 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 35,509 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,509) = 1

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

GCF(35,509) x common factors =1 x 1 = 1

LCM(35,509) = ( 35 × 509 ) / 1

LCM(35,509) = 17815 / 1

LCM(35,509) = 17815


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 3410/35, 5022/509

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 3410/35, 5022/509?

Answer: GCF of Numerators as per given numbers 3410/35, 5022/509 is

GCF of Numerators i.e. for 3410,5022 is 62

LCM of denominators i.e. for 35,509 is 17815.

Thus, GCF of Fractions is 62/17815.Finally, GCF of Fractions for 3410/35, 5022/509 is 62/17815.