Greatest Common Factor of 8645/362, 6020/3463

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8645/362, 6020/3463

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 8645/362,6020/3463

Given fractions are 8645/362,6020/3463

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 8645,6020

Greatest Common Factor of Numerators i.e. GCF of 8645,6020 is 35 .

LCM of Denominators means LCM of 362,3463 as per the given fractions.

LCM of 362,3463 is 1253606 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8645,6020

GCF of Fractions 8645/362,6020/3463 is 35/1253606

5 8645, 6020
7 1729, 1204
247, 172

∴ So the GCF of the given numbers is 5 x 7 = 35

Greatest Common Factor of 8645,6020 By Matching Biggest Common Factor Method

Greatest Common Factor of 8645,6020 By Matching Biggest Common Factor Method

Factors of 8645

List of positive integer factors of 8645 that divides 8645 without a remainder.

1,5,7,13,19,35,65,91,95,133,247,455,665,1235,1729,8645

Factors of 6020

List of positive integer factors of 6020 that divides 6020 without a remainder.

1,2,4,5,7,10,14,20,28,35,43,70,86,140,172,215,301,430,602,860,1204,1505,3010,6020

Greatest Common Factor

We found the factors 8645,6020 . The biggest common factor number is the GCF number.
So the greatest common factor 8645,6020 is 35.

Lets's calculate LCM of 362,3463

Given numbers has no common factors except 1. So, there LCM is their product i.e 1253606

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 35/1253606

Therefore, the GCF of Fractions 8645/362,6020/3463 is 35/1253606

Least Common Multiple of 362,3463 with GCF Formula

Least Common Multiple of 362,3463 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 362,3463 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(362,3463) = 1

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

GCF(362,3463) x common factors =1 x 1 = 1

LCM(362,3463) = ( 362 × 3463 ) / 1

LCM(362,3463) = 1253606 / 1

LCM(362,3463) = 1253606


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 8645/362, 6020/3463

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 8645/362, 6020/3463?

Answer: GCF of Numerators as per given numbers 8645/362, 6020/3463 is

GCF of Numerators i.e. for 8645,6020 is 35

LCM of denominators i.e. for 362,3463 is 1253606.

Thus, GCF of Fractions is 35/1253606.Finally, GCF of Fractions for 8645/362, 6020/3463 is 35/1253606.